Help please. Thanks 213F17 Assignment 2: Problem 12 ProblemProblem List Next Pro

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Help please. Thanks

213F17 Assignment 2: Problem 12 ProblemProblem List Next Problem 84% of Canadians hi e-laa. (1 point) A national polling company polled Canadians about their coffee consumption and made the following disco er one cup of coffee a day. Two Canadians are randomly chosen on a randomly chosen day. What is the probability Part (a) both consume at least one cup of coffee on the chosen day? Part (b) Refer to the two Canadians chosen in part (a). Find the probability that neither consumes any coffee over the course of the chosen day. (Use four decimals in your answer) (Use four decimals) Part (c) Suppose you are to randomly inspect three Canadians on a randomly at least one cup of coffee. EE (use four decimals) y pick n-Canadians until the probability that at least one of them has consumed at least one cup of coffee (on the the probability th Part (d) Suppose you are to randomly randomly chosen day) is 0.96. How large must n be? (enter an integer) Preview My Anwrs Submit Answers

Explanation / Answer

Solution:-

p = 84/100

p = 0.84

a) The probability that both consume atleast one cup of coffee on the chosen day is 0.9744.

n = 2, p = 0.84, x = 1

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 1) = 0.9744

b) The probability that neither consumes any coffee over the course of the chosen day is 0.0256.

n = 2, p = 0.84, x = 0

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 0) = 0.0256

c) The probability that atleast two of the three has consumed at least one cup of coffee is 0.9314.

n = 3, p = 0.84, x = 2

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 2) = 0.9314

d) n should be atleast 2.

P(x > 1, n, 0.84) = 0.96

P(x > 1) = P(x = 0) + P(x =1)

n > 2

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