question 1 according to a colege survey 22 of all students w

question 1

according to a colege survey, 22% of all students work full time. find the mean for the number of students who work full time in samples of size 16. round to the nearest tenth

question 2

find the mean for the binomial distribution which has the the stated values of n and p. round to the nearest tenth. n=32, p=3/5

QUESTION 3

SUPPOSE THE PROBABILITY FOR CONTRACTING A CERTAIN DISEASE IS P=0.0006 FOR A NEW CASE IN A GIVEN YEAR. USE THE POISSON DISTRIBUTION TO APPROXIMATE THE PROBABILITY THAT IN A TOWN OF 7,000 PEOPLE THERE WILL BE ATLEAST ONE NEW CASE OF THE DISEASE NEXT YEAR. ROUND TO FOUR DECIMAL PLACES.

QUESTION 4.

A multiple choice test 10 questions each of of which has 4 possible answers, only one of which is correct. if judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly. round three decimal places

question 5.

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. round to three dicimal places.

question 6

the probability that a person has immunity to a particular disease is 0.8. find the mean number who have immunity in samples of size 26. round to the nearest tenth

question 7

assume that a procedure yields a binomial distribution with a trial repeated n times. use the binomial probability formula to find the probabilities of x successes given the probability p of success on a single trial. round to three decimal places. n=4;x=3, p=1/6

Solution

1.

Mean = n p = 16*0.22 = 3.52 or 3.5 [ANSWER]

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2.

Mean = n p = 32*(3/5) = 19.2 [ANSWER]

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