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Question 1205333: In a raffle where 3500 tickets are sold for $2 each, one prize of $4800 will be awarded. What is the expected value of a single ticket in the raffle?

Click here to see answer by math_tutor2020(3816)

Question 1205337: A stock of bangus will only be harvested if the average body weight of the bangus is greater than 20 g. a sample of 50 pieces is drawn:
35 16 28 22 16 29 30 22 35 35
36 18 16 24 16 25 20 21 17 20
22 16 28 28 29 36 20 28 15 26
29 26 20 26 20 23 24 25 22 25
28 15 15 24 23 23 30 35 29 27
Using a test of hypothesis at the 1% level of significance, will you decide to harvest your stock?
A. State null hypothesis
B. State alternative hypothesis
C. Level of significance
D. Test statistic
E. Decision rule based on p-value
F. Statistical decision
G. Conclusion
Click here to see answer by Theo(13342)

Question 1205308: A factory manufactures light bulbs for distribution under 2 different brands. Brand A bulbs have an
average life of 1800 hours with a standard deviation of 240 hours; Those of mark B have an average life
of 1450 hours with a standard deviation of 150 hours. A sample of 250 light bulbs is taken from each
brand. Describe completely this situation, define all the data, and explain the method and all steps of
computation. How likely is the average lifespan of Brand A bulbs to be at least 400 hours longer than
that of Brand B bulbs?
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Question 1205344: If the sample mean is 8, the hypothesized population mean is 4, and the population standard deviation is 2, compute the test value need for the z test.
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Question 1205353: e^-5.4*5.4^2/3!
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Question 1205346: A random sample is drawn from a population with mean μ = 75 and standard deviation σ = 6.3. If the sampling distribution of the sample mean is normally distributed with n = 18, then calculate the probability that the sample mean falls between 75 and 77.
Click here to see answer by Theo(13342)

Question 1205358: In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 51)and matching the number on the gold ball (1 through 46).
What is the probability of winning the minimum award?

Click here to see answer by ikleyn(52752)

Question 1205362: Q1
a) The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.4 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:
1.5 1.6 1.5 1.4 1.9 1.4 1.3 1.9 1.8 1.7
At the .01 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.

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Question 1205340: Acid rain from the burning of fossil fuels has caused many of the lakes around the world to become acidic. The biology in these lakes often collapses because of the rapid and unfavorable changes in water chemistry. A lake is classified as nonacidic if it has a pH greater than 6. A. Marchetto and A. Lami measured the pH of high mountain lakes in the Southern Alps and reported their findings in the paper “Reconstruction of pH by Chrysophycean Scales in Some Lakes of the Southern Alps” (Hydrobiologia, Vol. 274, pp. 83-90). The pH levels obtained by the researchers for 15 lakes are 7.2, 7.3, 6.1, 6.9 6.6, 7.3, 6.3, 5.5, 6.3, 5.7, 6.9, 6.7, 7.9, and 5.8. At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, high mountain lakes in the Southern Alps are nonacidic? A. State null hypothesis
B. State alternative hypothesis
C. Level of significance
D. Test statistic E. Decision rule based on p-value
F. Statistical decision
G. Conclusion
Click here to see answer by Theo(13342)

Question 1205361: Q1

Q2

Q3

Q4
QUESTION FOUR

Q5

Q6.

Q7

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Question 1205361: Q1

Q2

Q3

Q4
QUESTION FOUR

Q5

Q6.

Q7

Click here to see answer by Alan3354(69443)

Question 1205339: The R.R Bowker Company collects information on the retail prices of books and publishes its findings in The Bowker Annual Library and Book Trade Almanac. In 2005, the mean retail price of all history books was $78.01. this year’s retail prices for 40 randomly selected history books are shown in the table below.
82.55 74.43 73.58 77.50 74.25 77.45 83.99 69.26
72.80 81.37 89.23 77.83 82.71 90.29 80.64 80.31
73.89 82.28 74.35 77.49 78.88 79.42 101.92 98.72
80.54 77.55 77.44 87.25 78.25 67.63 83.03 87.81
80.26 88.25 78.91 98.93 80.35 91.48 95.59 69.20
At the 1% significance level, do the data provide sufficient evidence to conclude that this year’s mean retail price of all history books has increased from the 2005 mean of $78.01? Assume that the population standard deviation of prices for this year’s history books is $7.61.
A. State null hypothesis.
B. State alternative hypothesis
C. Level of significance
D. Test statistic E. Decision rule based on p-value F. Statistical decision
G. Conclusion
Click here to see answer by Theo(13342)

Question 1205392: you randomly selvt an integer from0 to 24 (inclusively) and then randomly select an integer from 0 to 19 (inclusively). what is the porabability of selecting a 3 both times
Click here to see answer by ikleyn(52752)

Question 1205162: IQ scores are randomly distributed with a mean of 100 and a standard deviation of 15. Find the probability people will have IQs between 85 and 120?
Click here to see answer by Bogz(13)

Question 1205341: Mental measurements of young children are often made by giving them blocks and telling them to build a tower as tall as possible. One experiment of block building was repeated a month later, with the times (in seconds) listed in the accompanying table. Use a 0.01 level of significance to test the claim that there is no difference between the two times.
Child
First trial 30 19 19 23 29 178 42 20 12 39 14 81 17 31 52
Second trial 30 6 14 8 14 52 14 22 17 8 11 30 14 17 15

a. state null hypothesis; b. state alternative hypothesis; c. level of significance; d. test statistic; e. decision rule based on p-value; f. statistical decision; g. conclusion
Click here to see answer by Bogz(13)

Question 1205345: Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2. What is the probability that there will be
(a) at most 3 such accidents in the next month?
(b) at least 3 such accidents in the next 2 months?
(c) exactly 5 such accidents in the next 4 months?
Click here to see answer by Bogz(13)

Question 1205406: If the joint probability distribution of X and Y is given by
f(x,y) = ((x+y))/(30 ) , for x = 0,1,2,3; y = 0,1,2
a. P (X ≤2, Y = 1)
b. P ( X > Y)
c. P (X > 2 , Y ≤ 1)
d. P ( X + Y) = 4

Click here to see answer by Bogz(13)

Question 1205408: . A privately owned liquor store operates both drive-in facility and walk-in facility. On randomly selected day, let X and Y, respectively, be the proportion of the time that the drive-in and walk - in facilities are in us, and suppose that the joint density function of these random variable is
f(x,y) = {2/3 (x+2y) 0 ≤x ≤1,0 ≤y ≤1 0 elsewhere.
a. Find the marginal density of X
b. Find the marginal density of Y
c. Find the probability that the drive-in facility is busy less than one half of the time.

Click here to see answer by Bogz(13)

Question 1205230: The following table lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men.
|||||||||||||||||||smoker||||non smoker
Has lung diseas::::0.1||||||||0.03
No lung disease::::0.16|||||||0.71
One 60-to-65 year old man is selected at random. What is the probability of the following events?

A. He is a smoker:
B. He does not have lung disease:
C. He has lung disease given that he is a smoker:
D. He has lung disease given that he does not smoke
Click here to see answer by Bogz(13)

Question 1205242: A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 16 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 16 weeks and that the population standard deviation is 2.9 weeks. Suppose you would like to select a random sample of 95 unemployed individuals for a follow-up study.
Find the probability that a single randomly selected value is greater than 16.
Click here to see answer by Theo(13342)

Question 1203808: Find the pdf corresponding to each of the following CDFs:
(a)F(x)=(x^2+2x+1)/16; -1≤ x ≤3
(b)F(x)=(1-e^-λx)-λxe^-λx; 0≤x<∞; λ >0
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Question 1205419: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 77 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.

c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount?
minutes.
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1:
minutes
Q3:
minutes
IQR:
minutes

Click here to see answer by Theo(13342)

Question 1205286: Scarlett and Heather, the owners of an upscale restaurant in Dayton, Ohio, want to study the dining charac- teristics of their customers. They decide to focus on two variables: the amount of money spent by customers and
whether customers order dessert. The results from a sample of 60 customers are as follows:
Amount spent:sample mean,X = $38.54/customer and standard deviation of S = $7.62.
18 customers purchased dessert out of 60 customers.
a. Construct a 95% confidence interval estimate for the population mean amount spent per customer in the restaurant.
b. Construct a 97% confidence interval estimate for the population proportion of customers who purchase dessert.
Jack, the owner of a competing restaurant, wants to conduct a similar survey in his restaurant. Jack does not have access to the information that Scarlett and Heather have obtained from the survey they conducted. Answer the following questions:
c. What sample size is needed to have 95% confidence of estimating the population mean amount spent in her restaurant with a margin of error of$1.50, assuming that the standard deviation is estimated to be $8?
d. How many customers need to be selected to have 92% confidence of estimating the population proportion of customers who purchase dessert with a margin of error 0.04?
e. Based on your answers to (c) and (d), how large a sample should Jack take?
Click here to see answer by Theo(13342)

Question 1205431: According to a recent survey, 50% of people have brown hair, 25% of people have blonde hair, 15% of people have black hair, and 10% of people have red hair. What is the probability of randomly selecting one person who either has blonde hair or black hair?
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Question 1205163: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 105 inches, and a standard deviation of 16 inches. What is the probability that the annual snowfall will exceed 120 inches?
Click here to see answer by Theo(13342)

Question 1205438: A company sells two products, A and B. The probability that a customer will purchase
product A is 0.6, and the probability that a customer will purchase product B is 0.4.
The probability that a customer will purchase both products is 0.2. What is the
probability that a customer will purchase product A, given that they also purchased
product B?
Click here to see answer by ikleyn(52752)

Question 1204905: A football team has just scored a touchdown. If they go for the extra point kick there is a 94.4% chance
of success, a 5% chance of a miss and no points, and 0.6% chance of the opponent stopping the play and
running it back for 2 points (equivalent to losing two points). If they instead go for a two-point
conversion the chance of success is 47.9%, a 42.1% of missing and no points, and a 10% chance of the
opponent stopping the play and running it back for 2 points (equivalent to losing two points). What is
the expected number of points for each choice by the coach and which option should be picked based
upon the expected points?
Expected Points for Extra Point Kick: __________
Expected Points for Two Point Conversion: _________
The team should pick:
Cirlce one: Extra point Kick Two Point Conversio
Click here to see answer by Theo(13342)

Question 1205454: Please help me solve
A binomial experiment has the given number of trials and the given success probability, n=8 p=0.1
P
Part 1 of 3
(a)Determine the probability . Round the answer to at least three decimal places.

p(1)=
Click here to see answer by math_tutor2020(3816)

Question 1204904: A genetic experiment involving peas yielded one sample of offspring consisting of 433 green peas and 166 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 26% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
Click here to see answer by Theo(13342)

Question 1205166: Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. Find the value of quartile 3. (Round to the nearest whole number.)
Click here to see answer by Theo(13342)

Question 1205463: Can you please help me solve this Suppose that the times taken for germination for cauliflower seeds are normally distributed with a mean of 7.1 days. Suppose also that exactly 70% of the cauliflower seeds germinate in 6.1 days or more. Find the standard deviation of times taken for germination for cauliflower seeds. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.

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Question 1205465: User
A small regional carrier accepted 16 reservations for a particular flight with 14 seats. 10 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 47% chance, independently of each other.
(Report answers accurate to 4 decimal places.)
Find the probability that overbooking occurs.

Find the probability that the flight has empty seats

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Question 1205159: When Tallulah commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 48 minutes and a standard deviation of 4 minutes. Using the empirical rule, what percentage of her commutes will be between 36 and 60 minutes?

Click here to see answer by Theo(13342)

Question 1205468: A small regional carrier accepted 17 reservations for a particular flight with 13 seats. 11 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 45% chance, independently of each other.
(Report answers accurate to 4 decimal places.)
Click here to see answer by math_tutor2020(3816)

Question 1205471: Twenty percent of the employees of a large company are female. Use the normal approximation
of the binomial probabilities to answer the following questions. What is the probability
that in a random sample of 80 employees
a. exactly 16 will be female?
b. 14 or more will be female?
c. 15 or fewer will be female?
d. 18 or more will be female
e. exactly 17 will be female?
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Question 1205234: In a recent year 8,073,000 male students and 10,980,000 female students were
enrolled as undergraduates. Receiving aid were 60.6% of the male students and
65.2% of the female students. Of those receiving aid, 44.8% of the males got
federal aid and 50.4% of the females got federal aid. Choose 1 student at random.
(Hint: Make a tree diagram.) Find the probability that the student is
a. A male student without aid
b. A male student, given that the student has aid
c. A female student or a student who receives federal aid
Click here to see answer by mccravyedwin(405)

Question 1205487: Determine whether the following is a probability distribution or not:
x P(x)
0 0.4096
1 0.4096
2 0.1536
3
0.0256
4
0.0016
Click here to see answer by Boreal(15235)

Question 1205165: In one region, the September energy consumption levels for single family homes are found to be normally distributed with a mean of 1,050 kWh and a standard deviation of 218 kWh. Find the 45th percentile. (Round to the nearest whole number.)
Click here to see answer by Boreal(15235)

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, 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