5. Estimate the probability of the event. 8 pt. OF 1275 people who came into a b

Question

5. Estimate the probability of the event. 8 pt. OF 1275 people who came into a blood bank to give blood, 278 people had high blood e. Estimate the probability that the next person who comes in to give blood will have high blood prethe probability that have high blood pressure. Find the indicated probability. 10 pt. A sample of 4 different calculators is randomly selected from a group containing 47 that are defective and 27 that have no defects. What is the probability that all four of the calculators selected are defective? Assume that the next person selection is made without replacement. 12 d the indicated probability. A study conducted at a certain college shows that 56% of the school's graduates find a job in their chosen field within a year after graduation(so the probability to find a job is 0.56) Find the probability that among 6 randomly selected graduates, at least one finds a job in his/her chosen field within a year of graduation.

Explanation / Answer

5)

Since 278 out of 1275 people had high blood pressure.

Then P(the next person who comes in to given blood would have high blood pressure) = 278 / 1275 = 0.2180

6)

Out of 74 calculaters, 47 are defective and 27 have no defects.

So, P(all 4 selected calculators are defective) = [47 / 74] . [46 / 73] . [45 / 72] . [44 / 71] = 0.1550

7)

Let X denote the number of graduates who find a job within 1 year of graduation.

Then X ~ Binomial (n=6, p=0.56)

f(x) = 6Cx (0.56)x(1-0.56)6-x, x= 0,1,2,3,4,5,6

Required probability = P(X >= 1) = 1 - P(X = 0) = 1 - 6C0 (0.56)0(1-0.56)6-0 = 1 - 0.446 = 0.9927

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