Questions on Algebra: Probability and statistics answered by real tutors!

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Question 1198036: he heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.65 inches. The heights of adult women in America are also normally -distributed, but with a mean of 64.3 inches and a standard deviation of 2.59 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
z =

b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
z =

c) Who is relatively taller?
-The 6 foot 3 inch American man
-The 5 foot 11 inch American woman

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Question 1198011: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.68 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.59 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
z =

b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
z =

c) Who is relatively taller?
-The 5 foot 11 inch American woman
-The 6 foot 3 inch American man

Click here to see answer by ewatrrr(24785) About Me 

Question 1198038: A population of values has a normal distribution with μ = 76.3 and σ = 41.4 . If a random sample of size n = 22 is selected,
Find the probability that a single randomly selected value is less than 77.2. Round your answer to four decimals.
P(X < 77.2) =

Find the probability that a sample of size n = 22 is randomly selected with a mean less than 77.2. Round your answer to four decimals.
P(M < 77.2) =

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Question 1198000: Let n be a positive integer and
0, t<0,
FX(t)=t/n , 0≤t 1, t≥n,
where ⌊t⌋ is the greatest integer less than or equal to t. Find the probability mass function (PMF) of X.

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Question 1198045: Each child of a particular set of parents has probability 0.25 of having type O blood. Suppose the parents have 5 children. Find the probability that exactly 3 of the children have type O blood.
a) 0.008789
b) 0.015625
c) 0.8789
d) 0.08789
e) none of these

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Question 1198046: Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 75% of the recent graduates annual salary exceeds $75000. Suppose you take a simple random sample of 86 recent graduates.
Find the probability that more than 85% of the 86 recent graduates have an annual salary exceeding $75000.

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Question 1198006: There are 20 Smarties in a dish. Eight are brown, three red, five green and four yellow. Two candies are picked
from the dish at random.
a) What is the probability that both are red?
b) What is the expected number of red candies?

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Question 1198043: A population of values has a normal distribution with μ = 22.1 and σ = 81.7. A random sample of size n = 65 is drawn.
What is the mean of the distribution of sample means?
μ
¯
x
What is the standard deviation of the distribution of sample means? Round your answer to two decimal places.
σ
¯
x

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Question 1197909: An airline claims that the no-show rate for passengers booked on its flights is less than 6%. of 380 randomly selected reservations, 18 were no-shows. assuming that this data is used to test the airline's claim, find the p-value for the test.
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Question 1198071: Consider 5 samples of tree heights taken in feet: 5.5, 6.2, 7.0, 4.1, 3.3
What is the mean and the standard deviation

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Question 1198100: The depth of a river, in inches, can be predicted by the average rainfall for a given month as described by the equation: y=6.4+2x. If the average rainfall for the month is 1.5 inches, how deep is the river?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1198097: Two integers are randomly selected from the set​ {1, 2,​ 3, 4,​ 5, 6,​ 7, 8,​ 9} and are added together. Find the probability that their sum is 16 if they are selected
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Question 1198101: The correlation between books read and grade earned in an English class is .89. This correlation would be considered which of the following?
A) a weak,indirect correlation
B) a strong, indirect correlation
C) a weak, direct correlation
D) a strong, direct correlation

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Question 1198099: Consider a study conducted to evaluate the effectiveness of a new treatment to stop smoking. Before the study, it was known the average time to quit was 2.3 months with a standard deviation of 1.1. Using a sample of 50 adults on the new treatment, the sample average time was 1.9 months. Questions: 6) what is the test value for the sample of 50 adults? Question 7: The p-value for the test value should be? Question 8: which of the following statements about the significance this study at a 0.05 level is correct?: A) The p-valueof test value is greater than .05, it is significant. B) The p-value of the test value is greater than, 0.05, it is not significant. C) The p-value of the test value is less than .05 it is significant. D) The p-value of the test value is less than .05, it is not significant
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Question 1198087: 5) The average stock price for companies making up the S&P 500 is $30, and the stan-
dard deviation is $8.20 (BusinessWeek, Special Annual Issue, Spring 2003). Assume
1
the stock prices are normally distributed.
a) What is the probability that a company will have a stock price of at least $40?
b) What is the probability that a company will have a stock price no higher than $20?
c) How high does a stock price have to be to put a company in the top 10%?

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Question 1198098: a. The following table gives the joint probability distribution of the random
variables X and Y , where X is the first - year rate of return expected
from investment A while Y is the first - year rate of return expected from
investment B.
Table 5: Rates of Return on Two Investments
Y(%) X(%)
-10 0 20 30
20 0.27 0.08 0.16 0.00
50 0.00 0.04 0.10 0.35
i. Calculate the expected rate of return from investment B.
ii. Find the conditional expectation of Y , given X = 20.

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Question 1198115: The average speed limit in the USA is 25 mph with a standard deviation of 2.4 mph. What is the probability that a speed limit in the USA is greater than 20 mph?
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Question 1198120: A pizza restaurant has 10 different toppings and 3 different kinds of crust. If the order of toppings does not matter, and you cannot repeat toppings, how many different kinds of pizza with two toppings could be created?
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Question 1198117: Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of plantings during the past month follow (times in hours).
2.3 2.3 1.5 1.6 3.3 2.4 1.3 2.9 2.7 2.1
With a level of significance, test to see whether the mean tree-planting time differs from two hours.
a. State the null and alternative hypotheses.


b. Compute the sample mean.
(to decimals)
c. Compute the sample standard deviation.
(to decimals)
d. Find the test statistic and -value. (Use Table 2 in Appendix B.)
(to decimals)
-value
e. What is your conclusion?
We reject the null hypothesis. There enough evidence to prove that the mean tree-planting time differs from hours.

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Question 1198131: Consider a population with a mean of 25 and a standard deviation of 4.
A sample of 100 people is taken from the above population.
What is the mean of the sampling distribution?
A) 25
B) 2.5
C) 0.25
D) unable to determine from the information provided

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Question 1198133: In a skewed to right histogram distribution, which of the following best describes the mean relative to the median in this distribution?
A) mean>median
B) mean C) mean=median
D) unable to determine how they are related

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Question 1198130: On a cruise ship, a raffle is offered at $1 a tick for a single $400 price. Each of the 500 passengers purchases only 1 ticket. What is the expected value of purchasing a raffle ticket? Is it worth spending the money?
A) $.80 ,yes,you can expect a monetary gai.
B) $.20, yes, you can expect a monetary gain
C) -$.80, no, you can expect to loose money
D) -$.20, no, you can expect to loose money

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Question 1198129: Mark owns a stamp collection that he is considering getting insured. Over the course of a year it will cost him $500 to keep his collection insured, but if his collection is damaged they will pay him $1000.If he estimates there's a 10% chance of his collection being damaged, what is the expected value of buying the insurance policy?
One of the following is correct:
A) $-490
B) $10
C) $-400
D) $100
Which one?

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Question 1198134: On average, there are 2 potholes per mile on a particular stretch of the state highway. Suppose the potholes are distributed evenly on the highway.
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Question 1198135: Suppose the mean length of stay in a chronic disease hospital of a certain type of patient is 60 days with a standard deviation of 15 days. If it is reasonable to assume a normal distribution of lengths of stay, find the probability that a randomly selected patient from this group will have a length of stay of at most 88 days.
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Question 1198147: Suppose 30% of business majors major in accounting. You take a random sample of 3 business majors. What is the chance that exactly one majors in accounting?
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Question 1198154: 15% of the people in the US own a cat,20%own a dog, and 5% own both. Given that you own a dog,
what is the probability of also owning a cat? Choose one of the following.
A) 33%
B) 25%
C) 5%
D) 10%

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Question 1198153: 15% of the people in the US own a cat,20%own a dog, and 5% own both.
What is the probability of owning a dog or a cat? Choose one of the following.
A) 15%
B) 30%
C) 5%
D) 20%

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Question 1198158: 15% of the people in the US own a cat,20%own a dog, and 5% own both. Given that you owen a dog what is the probability that you also own a cat?
Choose one of the following.
A) .33
B) .25
C) .05
D) .10

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Question 1198158: 15% of the people in the US own a cat,20%own a dog, and 5% own both. Given that you owen a dog what is the probability that you also own a cat?
Choose one of the following.
A) .33
B) .25
C) .05
D) .10

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Question 1198155: The rain during a given week is described by Monday 20%, Tuesday 10%, Wednesday 0%, Thursday 50%, Friday 5%, and Saturday 10%. What is the percentage of rain received on Sunday?
Choose one of the following.
A) 10%
B) 0%
C) 5%
D) 15%

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Question 1198155: The rain during a given week is described by Monday 20%, Tuesday 10%, Wednesday 0%, Thursday 50%, Friday 5%, and Saturday 10%. What is the percentage of rain received on Sunday?
Choose one of the following.
A) 10%
B) 0%
C) 5%
D) 15%

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Question 1198156: The average height of males in a given statistics class is 5.9 ft with a standard deviation of 5 ft. What is the probability that a selected male from the class is between 6 and 5.8 feet?
Choose one of the following:
A) 42%
B) 31.6%
C) 15.8%
D) 57.9%

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Question 1198156: The average height of males in a given statistics class is 5.9 ft with a standard deviation of 5 ft. What is the probability that a selected male from the class is between 6 and 5.8 feet?
Choose one of the following:
A) 42%
B) 31.6%
C) 15.8%
D) 57.9%

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Question 1198151: 1:Find the total area
2:A cylinder is to be constructed
3:Determine the nature
4:An open box

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Question 1198151: 1:Find the total area
2:A cylinder is to be constructed
3:Determine the nature
4:An open box

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Question 1198160: She can decide against bringing the case, which will incur no cost and result in no compensation. Based on the information given above:
Develop the payoff table to the above case
Advise Helen what to do:
Using the maximax decision rule
Using the maximin decision rule.
Using the Minmax regret decision rule.
Using the equal likelihood decision rule.

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Question 1198161: During the registration period, St. Mary’s Univeristy has a technician in its service center to answer students’ questions. The number of telephone calls arriving at this center follows a Poisson distribution with an approximate average rate of 10/h. The time required to answer one call follows an exponential distribution with an average of 4 min. Answer the following questions:
What is the average time between incoming calls?
What is the average number of calls that the technician can attend in 1h?
What is the probability of there being exactly four calls on hold at a given time?
What is the probability of the number of calls in the system exceeding 10?

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Question 1198168: If a store carries 9 different CD players, 8 different receivers, and 10 different speakers, assuming a sound system consists of one each, how many different sound systems can he advertise?
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Question 1198168: If a store carries 9 different CD players, 8 different receivers, and 10 different speakers, assuming a sound system consists of one each, how many different sound systems can he advertise?
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Question 1198180: Joe is looking for samples for his study. He makes a list of 500 randomized students on campus and decides to call every 10th student to take his survey. What type of sampling is this described as? Choose one of the following
A) accidental sampling
B) stratified sampling
C) simple random sampling
D) systematic sampling

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Question 1198179: Sandy is desperate to complete her study. Instead of planning out who she wants to take her survey, she stops her classmates after class and hands out the survey to anyone willing to stay. What type of sampling is this described as?
A) accidental sampling
B) stratified sampling
C) simple random sampling
D) systematic sampling

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Question 1198178: Consider a population with a mean of 25 and a standard deviation of 4.
What is the standard deviation of the 100100-person distribution?
Choose one of the following:
A) 4
B) .04
C) .40
D) unable to determine from the information given

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Question 1198176: The depth of a river, in inches, can be predicted by the average rainfall for a given month as described by the equation y=2x+6.4. If the average rainfall for the month is 1.5 inches, how deep is the river?
Choose one of the following:
A) 9.4 inches
B) 2.45 inches
C) 12.6 inches
D) 9.0 inches

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Question 1198132: Consider a population with a mean of 25 and a standard deviation of 4.
A sample of 100 people is taken from the above population.
What is the standard deviation of the 100-person sampling distribution

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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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