MAT 152 LAB 2 NAME: DUE: Friday, June 15h by 11:59pm Show your work. Here are ex
ID: 3366460 • Letter: M
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MAT 152 LAB 2 NAME: DUE: Friday, June 15h by 11:59pm Show your work. Here are examples of how to show your work: 1. If you are using a graphing calculator: binompdf (10, 0.25,4) 2. If you are using the binomial table or formula: binomial, n-10, p-0.25, x-4 Round probability values to 4 decimal places. 3. A cereal maker places a game piece in each of its cereal boxes. The probability of winning a prize in the game is 1 in 5. Find the probability that you A) win your first prize with your third purchase, B) win your first prize with your first or second purchase, C) do not win a prize with your first four purchases. 4. The mean number of heart transplants performed per day in the United States in a recent year was about eight. Find the probability that the number of heart transplants performed on any given day is A) exactly five, B) at least nine, C) no more than seven 5. Seventy-five percent of adults say that they have cheated on a test or exam before. You randomly select 20 adults. Find the probability that the number of adults who say that they have cheated on a test or exam before is A) exactly eleven, B) more than ten, C) at most sidteen.Explanation / Answer
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3.p(winning of prize) = 1/5 = .20
a. P(win 1st time with 3rd purchase)
= p(loose 2 times, win the 3rd time)
= (1-.2)^2 * .2
= .128
b. P(win in 1st or 2nd purchase)
= P(loose 1st win in 2nd) + P(win in 1st attempt)
= (1-.2)*.2 + .2
= .36
c. P(do not win in first 4 purchases)
= P(loose in first 4 purchases)
= (1-.2)^4
= .4096
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