When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 38% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 55 of the dragon eggs to incubate. Consider all the possible samples of 55 dragon eggs. What is the mean number of yellow eggs in samples of 55 eggs? (that is the same as asking for the expected value of the number of yellow eggs) (Give answer correct to at least one decimal place.) mean = What is the standard deviation in the number of yellow eggs in samples of size 55? (Give answer correct to at least one decimal place.) standard deviation = What is the variance in the number of yellow eggs in samples of size 55? (Remember to calculate the answer using at least 5 decimal places, then give answer correct to at least one decimal place.) variance =

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When taking a 13-question multiple-choice test, where each question has 4 possible answers, it would be unusual to get or more questions correct by guessing alone. Give your answer in the box above as a whole number.

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Assume that the probability of a being born with Genetic Condition B is p=29/30. A study looks at a random sample of 1447 volunteers. Find the most likely number of the 1447 volunteers to have Genetic Condition B. (Round answer to one decimal place.) == Let XX represent the number of volunteers (out of 1447) who have Genetic Condition B. Find the standard deviation for the probability distribution of XX. (Round answer to two decimal places.) == Use the range rule of thumb to find the minimum usual value 2-2 and the maximum usual value +2+2. Enter answer as an interval using square-brackets only with whole numbers. Make sure the end points are usual values that are actually within the range of usual values. usual values =

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A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 25 tablets, then accept the whole batch if there is at most one that doesn't meet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? (Report answer as a decimal value accurate to four decimal places.) P(accept shipment) =

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After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only two women among the last 16 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting two or fewer women when 16 people are hired, assuming that there is no discrimination based on gender. (Report answer accurate to 8 decimal places). P(at most two) = Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). With this in mind, does the resulting probability really support such a charge?

• yes, this supports a charge of gender discrimination
• no, this does not support a charge of gender discrimination

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A high school baseball player has a 0.324 batting average. In one game, he gets 5 at bats. What is the probability he will get at least 2 hits in the game?

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Assume that a procedure yields a binomial distribution with a trial repeated n=7 times. Find the probability of x2 successes given the probability p=0.48 of success on a single trial. (Report answer accurate to 3 decimal places.) P(x2)=

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Assume that a procedure yields a binomial distribution with a trial repeated n=20n=20 times. Find the probability of X>10X>10 successes given the probability p=0.48p=0.48 of success on a single trial. (Report answer accurate to 3 decimal places.) P(X>10)=

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Air-USA has a policy of booking as many as 21 persons on an airplane that can seat only 18. (Past studies have revealed that only 86% of the booked passengers actually arrive for the flight.) Find the probability that if Air-USA books 21 persons, not enough seats will be available. P(P(not enough seats)) Is this probability low enough so that overbooking is not a real concern for passengers if you define unusual as 5% or less?

• yes, it is low enough not to be a concern
• no, it is not low enough to not be a concern

What about defining unusual as 10% or less?

• yes, it is low enough not to be a concern
• no, it is not low enough to not be a concern

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The Wilson family was one of the first to come to the U.S. They had 8 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family had: at least 3 girls at most 7 girls

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A small regional carrier accepted 19 reservations for a particular flight with 15 seats. 9 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 60% chance, independently of each other. Find the probability that overbooking occurs. Find the probability that the flight has empty seats.