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Consider a small ferry that can accommodate cars and buses. The toll for cars is $3 and the toll for buses is $10. Let X and Y denote the number of cars and buses
An applicant has applied for positions at Company A and Company B. The probability of getting an offer from Company A is 0.4, and the probability of getting an offer from Company B is 0.3. Assuming
What is the probability that a randomlly selected person with a home office will be audited? if a person with a home office what places them in the 90th percential?
Assume the standard deviation of all such weights is 4.9 lbs and use a significance level to test the claim that the mean weight loss is greater than 0. Based on these results does the diet appear t
"One in 10 high school graduates in the state of Florida sends an application to the University of Florida," says the direct of admissions. If Florida has 120,000 high school graduates next year, ho
Historically, the publisher of Golf Illustrated has found that 64% of its subscribers renew their subscriptions. Because of the advent of the Internet and cable television, the publisher is concerne
Suppose we have 10 exam scores for an introductory statistics course. Based on the given information, what is the relative frequency for the interval 60 to 80 in this particular class?
A tennis player makes a successful first serve 60% of the time. If she serves 8 times, what is the probability that she gets more than 3 first serves in? Assume that each serve is independent of the
A beginning archer is able to hit the bull's-eye 39% of the time. If she shoots 6 arrows, what is the probability that she gets at most 3 bull's-eyes? Assume each shot is independent of the others.
Using the Poisson approximation, what is the probability that three or fewer students will drop out of a random group of 200 entering students ?
Find the probability of at least 2 girls in 8 births. Assume that male and female births are equally likely and that the births are independent events.
A basketball player has made 70% of his foul shots during the season. If he shoots 5 foul shots in tonight's game, what is the probability that he doesn't make all of the shots?
A basketball player has made 66% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he misses for the first time on his 6th attempt?
The manufacturer would like to establish inventory levels such that there is only a five percent chance of running out of stock. Where should the manufacturer set the inventory level?
An archer is able to hit the bull's eye 56% of the time. If she shoots 7 arrows, how many bull's-eyes do you expect her to get? Assume the shots are independent of each other.
A company manufactures batteries in batches of 15 and there is a 3% rate of defects. Find the mean number of defects per batch.
Six houses were selected and each appraiser provided an appraisal for each of the six houses. What would be the best statistical test to use for the analysis of this data?
In a population of students, the number of calculators owned is a random variable X with P(X=0) =0.2, P(X=1) = 0.6 and P(X=2) = 0.2
A lottery offers one $1000 prize, one $500 prize and five $100 prizes. One thousand tickets are sold at $3 each. Find the expected value (of prize winnings) if a person buys one ticket.
The variation of the amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business lunches was $0.87. What is the test value?
In a large population of college students, 20% of the students have experienced feelings of math anxiety. Take a random sample of 10 students :
If a randomly selected student has a score of 40, then how many standard deviations away from the mean is that student's score? Determine the standardized value for the score of 22.
In a certain large population, 40% of the households have a total annual income of $70,000. An SRS of 4 of these households is selected. Find the probability that 2 or more of the households in the
If a random sample of 50 students is taken, what is the probability that the sample will have a mean within 5 points of the population mean?
An archer is able to hit the bull's-eye 49% of the time. If she shoots 10 arrows, what is the probability that she gets exactly 4 bull's-eyes? Assume each shot is independent of the others.