Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1175195: You are asked to buy a ‘lucky draw’ ticket with the price of RM2. You can win RM5000 as first prize,
RM1000 as second prize or RM500 as third prize with probabilities of 0.0001, 0.0005 and 0.0015 respectively.
Basing your decision on the expected value, should you buy the ticket? Why?
Click here to see answer by ikleyn(52776)   |
Question 1175221: Is it B? I want to check my answer.
Anton is approved for overtime at his job. Last week, he worked a total of 45 hours. How many hours of overtime did he work?
The question and table is provided in the link here: https://i.imgur.com/suObOa7.png
A. 3 hours
B. 5 hours
C. 15 hours
D. 45 hours
Click here to see answer by MathLover1(20849)  |
Question 1175231: The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 400 Americans is administered the acupuncturists treatment and 48 report experiencing migraines.
1. Suppose the P-value is calculated to be 0.0135
What would your decision be for this test using α = 0.025?
fail to reject the null
accept the null
reject the null
2. Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made.
Click here to see answer by ewatrrr(24785)  |
Question 1175229: The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 400 Americans is administered the acupuncturists treatment and 48 report experiencing migraines.
a. State Hypotheses to the scenario using the correct symbols.
b. What is the sample proportion? (Round to 2 decimal places)
Click here to see answer by ewatrrr(24785) |
Question 1175246: It is known that the password for an ATM card must be formed by six numbers from 0 to 9, and the numbers used can be repeated. If Mr. Fajardo is going to choose 6 different numbers to form the password, how many arrangements can he have?
Click here to see answer by ikleyn(52776) |
Question 1175097: For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 500 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 490. What is the probability that a sample of 50 exams will have the mean score of 490 or more if the exam scores follow the same distribution as in the past?
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1175248: When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 18% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the mean number of yellow eggs in samples of 58 eggs? (that is the same as asking for the expected value of the number of yellow eggs)
Click here to see answer by ewatrrr(24785) |
Question 1175256: Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings:
y = 250 + 340x.
Determine the missing steps and justifications.
The question and table is provided in the link here: https://i.imgur.com/70kRA21.png
Click here to see answer by ewatrrr(24785) |
Question 1175255: 1. You wish to test the following claim (Ha) at a significance level of α=0.001α=0.001. Ho:p=0.35Ho:p=0.35. Ha:p≠0.35Ha:p≠0.35
You obtain a sample of size n=558n=558 in which there are 167 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
2. Margin of Error for Proportions
A survey was given to a random sample of 125 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 76% of the people said they preferred Candidate A. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth? (Do not write \pm±).
Click here to see answer by ewatrrr(24785) |
Question 1175289: Can someone help me understand which title goes to the correct category?
Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings:
y = 250 + 340x.
Determine the missing steps and justifications.
The question and table is provided in the link here: https://i.imgur.com/70kRA21.png
Click here to see answer by MathLover1(20849) |
Question 1175295: You are conducting a study to see if the accuracy rate for fingerprint identification is significantly more than 79%. With Ha : p >79% you obtain a test statistic of z=2.78
. Find the p-value accurate to 3 decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1175298: Margin of Error for Proportions
1. A survey was given to a random sample of 125 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 76% of the people said they preferred Candidate A. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth? (Do not write \pm±).
Confidence Intervals for Proportions
2. A survey was given to a random sample of 60 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 27 respondents said that they preferred Candidate A. Determine a 95% confidence interval for the proportion of people who prefer Candidate A, rounding values to the nearest thousandth. (,)
Click here to see answer by ewatrrr(24785) |
Question 1175321: Two students are registered for the same class and attend independently of each other, student A 70% of the time and student B 60% of the time. The teacher remembers that on a given day at least one of them is in class. What is the probability that student A was in class that day? (Round your answer to three decimal places.)
Click here to see answer by ikleyn(52776) |
Question 1175319: 5. Old-fashioned mechanical alarm clocks were not all that accurate. Suppose that the alarm on one suck clock is equally likely to go off at any time from 2 minutes before to 2 minutes after the alarm’s setting. Let the random variable X=the amount of time (in minutes) from when the alarm is set to when it goes off. Note that X will be negative if the alarm goes off early.
a. Sketch a graph of the uniform probability distribution of X.
b. Find the probability that the alarm goes off within 10 seconds of the time for which it is set on a randomly
selected day.
Click here to see answer by ikleyn(52776) |
Question 1175344: Let A is event a child is infected with ascariasis, and G be event a child infected with giardiasis. Suppose P(A)= .30, P(G)=.25 and P(AnG)=.13.
Then what is the probability that s child randomly selected will test negative for these intestinal parasite?
Click here to see answer by ikleyn(52776) |
Question 1175347: According to one poll, 45% of households in a certain region still had landline phone service. Suppose a random sample of 50 households from the region is taken. Complete parts (a) through (d) below. a. Find the probability that exactly 20 of the households sampled still have a landline.
Click here to see answer by ewatrrr(24785) |
Question 1175332: Consider, the number of family members in your family, as a population and their weight as a random number. First measure their weights, after that find the average weight and standard deviation from your collected data. Assume the distribution of weights to be normal, find the number of family member with weight
Less than and equal to 50
Between 52 to 67
Greater than and equal to 70
Interpret your results of both par
Click here to see answer by ikleyn(52776) |
Question 1175345: Fifty chief executive officers of small to medium-sized companies were classified according to their gender and functional background as shown in the table below:
Functional Background Male Female Total
Marketing 4 10 14
Finance 11 5 16
Operations 17 3 20
Total 32 18 50
a. If a chief executive is randomly selected from this group, what is the probability that the executive is a female? [2]
b. What is the probability that a randomly selected executive from this group is a male whose functional background is marketing? [2]
c. Assume that an executive is selected, and you are told that the executive’s functional background was in operations. What is the probability that this executive is a female? [2]
d. Assume that an executive is selected, and you are told that the executive is a female. What is the probability the executive’s functional area is marketing? [2]
e. Are gender and functional background independent for this set of executives? [2]
Click here to see answer by ewatrrr(24785) |
Question 1175359: A manufacturer of spark plugs knows that the process produces 4 percent defective. As part of
their quality assurance program, the manufacturer inspects 10 spark plugs each hour. If two or
more of the plugs are defective, the process is shut down and corrective action is taken.
a. Use the binomial distribution to determine the probability of finding two or more defective
plugs when the process is actually 4 percent defective.
b. Use the Poisson distribution to compute the same probability.
Click here to see answer by ewatrrr(24785) |
Question 1175343: Stafford Production, is concerned with the quality of the parts it purchases that will be used in the end items it assembles. Part number 34-78D is used in the company’s new laser printer. The parts are sensitive to dust and can easily be damaged in shipment even if they are acceptable when they leave the vendor’s plant. In a shipment of four parts, the purchasing agent has assessed the following probability distribution for the number of defective products:
x P(x)
0 0.20
1 0.20
2 0.20
3 0.20
4 0.20
a. What is the expected number of defectives in a shipment of four parts? Discuss what this value really means to Stafford Production. [2]
b. Compute and interpret the standard deviation of the number of defective parts in a shipment of four. [3]
c. Examine the probabilities as assessed and indicate why this probability distribution might be called a uniform distribution. Provide some reasons why the probabilities might all be equal, as they are in this case. [2] 5-83
Click here to see answer by Boreal(15235)  |
Question 1175377: A political strategist claims that 56% of voters in Madison County support his candidate. In a poll of 200 randomly selected voters, 100 of them support the strategist's candidate. At = .05, is the political strategist's claim warranted?
1)
No, because the test value - 1.01 is in the noncritical region.
2)
No, because the test value - 2.22 is in the critical region.
3)
Yes, because the test value - 2.22 is in the noncritical region.
4)
Yes, because the test value - 1.71 is in the noncritical region.
Click here to see answer by math_tutor2020(3816) |
Question 1175389: a box contains 24 transistors, 4 of which are defective if 4 are sold at random . find the following probabilities a)exactly 2 are not defective b)all are not defective c)none is defective d)almost 1 is defective.
Click here to see answer by ikleyn(52776) |
Question 1175388: a box contains 24 transistors, 4 of which are detective if 4 are sold at random . find the following possibilities a)exactly 2 are not detective b)all are not detective c)none is detective d)almost 1 is detective.
Click here to see answer by ikleyn(52776) |
Question 1175388: a box contains 24 transistors, 4 of which are detective if 4 are sold at random . find the following possibilities a)exactly 2 are not detective b)all are not detective c)none is detective d)almost 1 is detective.
Click here to see answer by ewatrrr(24785) |
Question 1148134: A supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each coupon code will have one digit followed by four letters. The letters D and E and the digits 0, 5, and 8 will not be used. So, there are 24 letters and 7 digits that will be used. Assume that the letters can be repeated. How many such coupon codes can be generated?
Click here to see answer by mendyoli000(1) |
Question 1148134: A supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each coupon code will have one digit followed by four letters. The letters D and E and the digits 0, 5, and 8 will not be used. So, there are 24 letters and 7 digits that will be used. Assume that the letters can be repeated. How many such coupon codes can be generated?
Click here to see answer by ikleyn(52776) |
Question 1175433: Find the mean and standard deviation for each uniform continuous model. (Round "mean" answers to 1 decimal place and "standard deviation" answer to 4 decimal places)
Mean Standard Deviation
a.)U(3,10) 6.5
b.)U(80,230) 155
c.)U(2,90) 46
Click here to see answer by Boreal(15235) |
Question 1175402: The following reaction times (measured to the nearest second) were recorded for 8 drivers under two different conditions, without consuming alcohol and after consuming a controlled amount of alcohol.
Driver 1 2 3 4 5 6 7 8
Without Alcohol 3 4 3 3 6 5 3 5
With Alcohol 3 5 4 6 7 4 4 7
(a) Test, at 1% level of significance, whether there is evidence that the alcohol increases the reaction time. (12 marks)
(b) Do you think it is necessary to use the same driver for two different conditions above? Explain your reasoning. (3 marks)
Click here to see answer by Boreal(15235) |
Question 1175302: 1. You are conducting a right-tailed test of a claim about a population proportion .If α=.01, find the critical value, to two decimal places.
2. You are conducting a two-tailed test of a claim about a population mean when sigma is known .You also have statistics from a sample of 27. If α = 0.01,find the positive critical value, to two decimal places.
Click here to see answer by Boreal(15235) |
Question 1175438: A survey of some residents of a certain community was conducted to determine the number of viewer of the four major stations A, B, C, and D. It was found that 90 people watch channel A only, 82 watch channel B only, 77 watch channel C only, 96 watch channel D only. What is the probability that a resident of the community watches:
a. At least one channel?
b. channel A or channel c?
c. channel B or Channel D?
d. channel A or channel D?
I just want to verify my answers... Thank you
Click here to see answer by greenestamps(13198)  |
Question 1175366: In an experiment with peas one observed 360 round and yellow, 130 round and green, 118 wrinkled and yellow and 132 wrinkled and green. According to the Mendelian theory of hereditary the numbers should be in the ratio 9:3:3:1. Is there any evidence of difference from the plants at 5% level of significance?
Proof it and which test you use and why?
Click here to see answer by ewatrrr(24785) |
Question 1175460: In a survey, 11 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $43.3 and standard deviation of $14.1. Construct a confidence interval at a 90% confidence level.
Express your answer in the format of
¯x ± Error.
how do I do this formula?
Click here to see answer by ewatrrr(24785) |
Question 1175467: The high temperatures (in degrees Fahrenheit) of a random sample of 9 small towns are:
98.4
99.4
97.7
99.3
97.9
99.7
97.2
98.2
96.6
Assume high temperatures are normally distributed. Based on this data, find the 95% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).
95% C.I. =
Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1175484: On a 40- point test, the mean is 23, and the standard deviation is 6.6 . The teacher says that anyone whose score is lower than one standard deviation below the mean will fail the test . if a person gets a 15 on the test , will she pass or fail ? need help
Click here to see answer by greenestamps(13198) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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