Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1120348: I need all of these questions solved please I need help!!!
1.Find the area under the standard normal curve for the area between z = -2.33 and z = 2.33.
2.Find the area under the standard normal curve for the area to the right of z = -2.10.
3.In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
Find the probability that a student had a score between 250 and 305.
4.In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
Find the probability that a student had a score between 250 and 305.
5.From a pool of 25 candidates, the offices of president, vice-president, secretary, and treasurer must be filled. In how many ways can the offices be filled?
6.The access code for a cars security system consists of 4 digits. The first digit cannot be 0 and the last digit must be even. How many different codes are available?
7.The mean price from a sample of houses is $155,000, with a standard deviation of $15,000 and is normally distributed. Between what two prices do 95% of the houses fall?
8.The stretch in a spring varies directly as the attached weight. A 6kg weight stretches a spring 2.4 cm.
a. What is the constant of variation?
b. What weight would stretch the spring 4 cm?
9.Weekly salaries (in dollars) for a sample of registered nurses are listed.
774 446 1019 795 908 667 444 960
a. Find the mean, the median and the mode of the salaries. Which best describes a typical salary?
b. Find the range and standard deviation of the data set. Interpret the results in context of the real-life setting.
10.In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.
What percent of students had a test score that is greater than 250?
11.The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?
Select one:
a. 40.96 ft3
b. 32.96 ft3
c. 49.96 ft3
d. 44.96 ft3
12.The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 16 miles per gallon at 53 mph. How many miles per gallon will it get at 62 mph?
Select one:
a. 1.87 mpg
b. 13.7 mpg
c. 0.08 mpg
d. 18.7 mpg
Click here to see answer by Boreal(15235)   |
Question 1120294: #18
Test the claim that the mean GPA of night students is smaller than 2.1 at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μ≤2.1 and H1:μ>2.1
or
H0:p=0.525 and H1:p≠0.525
or
H0:μ≥2.1 and H1:μ<2.1
or
H0:p≥0.525 and H1:p<0.525
or
H0:p≤0.525 and H1:p>0.525
or
H0:μ=2.1 and H1:μ≠2.1
The test is:
right-tailed
or left-tailed
or two-tailed
Based on a sample of 65 people, the sample mean GPA was 2.06 with a standard deviation of 0.08
The p-value is:_______ (to 2 decimals)
Based on this we:
Reject the null hypothesis
or Fail to reject the null hypothesis
Click here to see answer by Boreal(15235) |
Question 1120352: A family wants to attend a concert. The admission fee is R50 for an adult and R20 for a child. Suppose the family consists of two parents and x children. How much will the outing cost the family, in terms of x ?
Click here to see answer by ikleyn(52777)  |
Question 1120342: M12 #11
You run a regression analysis on a bivariate set of data (n=61). You obtain the regression equation
y=−2.095x+43.992
with a correlation coefficient of r=−0.51 (which is significant at α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 130 on the response variable.
What is the predicted explanatory value?
x =
Click here to see answer by ikleyn(52777) |
Question 1120406: 9. A normal distribution of utility bills shows the mean to be $100 and the standard deviation of $12.
a) What percent of the utility bills are more than $125.
b) If 300 utility bills are randomly selected, about how many of them would you expect to be less than $90?
Click here to see answer by rothauserc(4718)  |
Question 1120411: In a certain lottery, you must select
66 numbers (in any order) out of 37 correctly to win.
a. How many ways can 66 numbers be chosen out of 37 numbers?
b. You purchase one lottery ticket. What is the probability of winning?
Click here to see answer by ikleyn(52777) |
Question 1120435: A box of chocolates contains 24 chocolates. Eight of the chocolates have cherry centers. All chocolates appear the same. Two chocolates are selected. Find the probability of each of the following. (Round your answers to four decimal places.)
Click here to see answer by rfer(16322) |
Question 1120447: Sergio , Tyrone , Jim , and Dawn have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.
a. In how many ways can they arrive?
b. In how many ways can Sergio arrive first and Dawn last?
c. Find the probability that Sergio will arrive first and Dawn last.
Click here to see answer by greenestamps(13198)  |
Question 1120437: A wallet contains seven $1 bills, two $5 bills, and five $10 bills. A bill is selected at random from the wallet. Find the probability of the following.
(a) The bill is a $5 bill, given that it is not a $1 bill.
(b) The bill is a $1 bill, given that it is smaller than $10.
Click here to see answer by greenestamps(13198) |
Question 1120473: The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below.
Assume the population is normally distributed.
2.2
3.1
2.6
1.6
0.6
4.0
2.3
1.4
3.8
0.1
2.4
3.1
(a) Find the sample mean.
(Round to two decimal places as needed.)
(b) Find the sample standard deviation.
(Round to two decimal places as needed.)
(c) Construct a 95% confidence interval for the population mean mu.
A 95% confidence interval for the population mean is?
(Round to two decimal places as needed.)
Click here to see answer by Boreal(15235) |
Question 1120470: in a survey of women in a certain country (ages 20minus29), the mean height was 63.7 inches with a standard deviation of 2.73 inches. Answer the following questions about the specified normal distribution.
(a) What height represents the 95th percentile?
(b) What height represents the first quartile?
Click here to see answer by rothauserc(4718) |
Question 1120471: A publisher wants to estimate the mean length of time (in minutes) all adults spend reading newspapers. To determine this estimate, the publisher takes a random sample of 15 people and obtains the results below. From past studies, the publisher assumes sigma is 2.1 minutes and that the population of times is normally distributed.
7
12
7
12
11
9
12
10
8
10
6
8
7
9
7
Construct the 90% and 99% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals.
The 90% confidence interval is ?
(Round to one decimal place as needed.)
The 99% confidence interval is?
(Round to one decimal place as needed.)
Which interval is wider?
The 90% confidence interval?
The 99% confidence interval?
Click here to see answer by Boreal(15235) |
Question 1120481: Two cards are drawn in succession from a standard 52-card deck. What is the probability that the first card is red and the second card is black?
If the cards are drawn without replacement?
If the cards are drawn with replacement?
Type an integer or decimal rounded to four decimal places as needed.
Click here to see answer by solver91311(24713)  |
Question 1120522: 8^C4/12^C4
8C4 over 12C4=
A combination is a selection of objects from a group of objects without regard to order and is denoted by nCr.
I've tried dividing it out and that is not the response for this statistics question.
Click here to see answer by Alan3354(69443)  |
Question 1120530: Max Scherzer, the starting pitcher for the Nationals, on average, has a 0.250 probability of hitting the ball in a single "at bat". In one game, he gets 6 "at bats."
(a) Let X be the number of hits that Max gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
(b) Find the probability that he gets at least 4 hits in the one game. (Round the answer to 3 decimal places) Show all work. Just the answer, without supporting work, will receive no credit.
11. Assume that gas mileage for cars is normally distributed with a mean of 23.5 miles per gallon and a standard deviation of 10 miles per gallon. Show all work. Just the answer, without supporting work, will receive no credit.
(a) What is the probability that a randomly selected car gets between 20 and 25 miles per gallon? (Round the answer to 4 decimal places)
(b) Find the 80th percentile of the miles per gallon distribution. (Round the answer to 2 decimal places)
Click here to see answer by Boreal(15235) |
Question 1120527: A study of the National Park Service revealed that 80% of the vacationers going to Rocky Mountain region visit Yellowstone Park, 40% visit Tetons and 35% visit both. What is the probability that a vacationer will visit at least one of these magnificent attractions?
Click here to see answer by Boreal(15235) |
Question 1120482: an investor has decided to purchase shares in the stock of three companies: one engaged in aerospace activities, one involved in energy development, and one involved in electronics. After some research, the account executive of a brokerage firm recommended that the investor considers stock from five aerospace companies, three energy companies, and four electronics companies. In how many ways can the investor select the group of three companies from the executives list?
Click here to see answer by Boreal(15235) |
Question 1120482: an investor has decided to purchase shares in the stock of three companies: one engaged in aerospace activities, one involved in energy development, and one involved in electronics. After some research, the account executive of a brokerage firm recommended that the investor considers stock from five aerospace companies, three energy companies, and four electronics companies. In how many ways can the investor select the group of three companies from the executives list?
Click here to see answer by ikleyn(52777) |
Question 1120534: In a study to assess the effectiveness of garlic for lowering cholesterol, 60 adults were treated with garlic tablets. Cholesterol levels were measured before and after treatment. The changes in their LDL cholesterol (in mg/dL) have a mean of 7 and a standard deviation of 4.
(a) Construct a 90% interval estimate of the mean change in LDL cholesterol after the garlic tablet treatment. (Round the lower bound and upper bound of the confidence interval to two decimal places) Include description of how confidence interval was constructed.
(b) Describe the results of the study in everyday language.
Click here to see answer by Boreal(15235) |
Question 1120537: license plates in a particular state are to consist of a 4 digits followed by 2 upper case letters
How many different license plates can there be in this state if repetition of letters and numbers is permitted
Click here to see answer by ikleyn(52777) |
Question 1120540: A car dealer states that a new brand of car gets 35 miles per gallon on average. Suppose a consumer group claims that these cars get less than 35 miles per gallon. A sample of 40 cars is selected, and the sample mean for the 40 cars is 33 miles per gallon while the standard deviation is 3.8.
1) State the null and alternative hypotheses for this test.
2) Calculate the test statistic for this test. Explain what this test statistic represents.
3) Use technology to calculate the p-value for this test. Explain what this p-value represents.
4) State the conclusion for this test at the 0.05 level of significance. Do you think the car dealer is telling the truth? Why or why not?
Click here to see answer by Boreal(15235) |
Question 1120174: Over an entire summer, an amusement park gets an average of 21.7 people per day that have to go to the infirmary. Some days it is higher than this. Some days it is lower than this. The standard deviation is 4.2. The distribution for the amount of people treated is approximately normal.
a. For a 10-day period, here are the number of people treated each of those 10 days:
Day | Number treated:
1 | 25
2 | 19
3 | 17
4 | 15
5 | 20
6 | 24
7 | 30
8 | 19
9 | 16
10 | 23
b. For a 10-day period, here are the number of people treated each of those 10 days:
Day | Number treated
1 | 20
2 | 15
3 | 12
4 | 21
5 | 24
6 | 28
7 | 32
8 | 26
9 | 35
10 | 37
Make a control chart for the daily number treated for each of the tables above, and plot this data on seperate charts. Do the data indicate that the number of people treated is “in control”? Explain your answer.
Click here to see answer by ViviNH14(2) |
Question 1120184: The average age for employees at an amusement park is 24 years old with a standard deviation of 2.5 years. Suppose random samples of 40 employees are selected. What would the distribution of average ages from samples of this size look like? Why?
Use the above amusement park scenario to answer the following questions:
A) What would the average be for all sample means from samples of this size?
B) What would the standard error be for all sample means from samples of this size?
C) What is the probability if you randomly selected 40 employees and averaged their ages together that the sample mean would be between 23 and 25 years?
Click here to see answer by ViviNH14(2) |
Question 1120543: After going to a fast food restaurant, customers are asked to take a survey. Out of a random sample of 340 customers, 290 said their experience was “satisfactory.” Let p represent the proportion of all customers who would say their experience was “satisfactory.”
A) What is the point estimate for p?
B) Construct a 99% confidence interval for p.
C) Give brief interpretation of this interval.
Click here to see answer by Boreal(15235) |
Question 1120528: Derrek Lee of the Chicago Cubs had the highest batting average in the 2005 MLB season. His average was 0.35. So assume the probability of getting a hit 0.35 for each time he batted. In a particular game assume he batted Five times. Denote X = number of hits that Derrek made in that game.
Click here to see answer by greenestamps(13198) |
Question 1120617: ABC Ltd . produces cartridges for the latest printer , and they are sold in
boxes of 8. Unfortunately, 2% of them are faulty. Find the probability that a
given box has at least one faulty cartridge in it.
Click here to see answer by Theo(13342)  |
Question 1120611: Ankita enjoys her pizza. So much so that she eats pizza every night. she
likes both cheese and mushroom, and each night she chooses randomly
and independently between these
two options. Given that each night she picks the mushroom option with
probability 0.35, find the probability that she eats between 2 and 4
(inclusive) mushroom pizzas this week
(7 days).
Click here to see answer by Theo(13342) |
Question 1120622: Dear Tutor
please help me with stats question
In a random sample of 200 observations,we found the proportion of successes to be 48%.
Use a 90% degree of confidence to estimate the population proportion of successes.
Click here to see answer by Theo(13342) |
Question 1120625: At a used-book sale, 103 books are adult books and 155 are children’s books. Of the adult books, 69 are nonfiction while 60 of the children’s books are nonfiction. If a book is selected at random, find the probability that it is not a children’s nonfiction book.
A. 0.7674
B. 0.6318
C 0.5000
D. 0.7326
Click here to see answer by Shin123(626)  |
Question 1120626: 11. The distribution of annual earnings of all bank tellers with five years of experience is skewed negatively. This distribution has a mean of Birr 15,000 and a standard deviation of Birr 2000. If we draw a random sample of 30 tellers, what is the probability that their earnings will average more than Birr 15,750 annually?
Required:
• Calculate µ and
• Calculate Z for
• Find the area covered by the interval
• Interpret the results
Click here to see answer by Boreal(15235) |
Question 1120640: Doug throws a ball vertically into the air while standing on a platform that is 10 feet off the ground. The motion of the ball is described by
f(t)=-16t^2+96t+10, where t represents seconds and f(t) represents the height (in feet) of the ball above ground level in t seconds. What is the maximum height above ground the ball will reach, and how many seconds will pass before it reaches this height?
Click here to see answer by Boreal(15235) |
Question 1120597: 38% of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Complete parts (a) through (c) below.
(a) Find the mean of the binomial distribution.
Click here to see answer by Boreal(15235) |
Question 1120644: A color candy was chosen randomly out of a bag. Below are the results:
a. What is the probability of choosing a yellow candy?
b. What is the probability that the candy is blue, red, or green
c. What is the probability of choosing an orange candy?
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, 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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, 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