Find the probability, rounded to exactly two places after the decimal, that tomo

Question

Find the probability, rounded to exactly two places after the decimal, that tomorrow's episode will feature Prue: 0.37
Find the probability, rounded to exactly two places after the decimal, that tomorrow's episode will feature Paige: 0.64

Please use the rounded answers above (don't begin with answers rounded in some other way) to answer the following questions. Answers should be to four places after the decimal (i.e., as accurate as the proper process will allow). Find the probability that in 200 consecutive airings, we will have... ...

(a)less than 64 Prue episodes.

(b)at least 64 Prue episodes:

(c)between 64 and 86 Prue episodes

(d)less than 30% Prue episodes

(e)between 30% and 38% Prue episodes

(f)more than 38% Prue episode

Explanation / Answer

prob that tomorrow features prue = p = 0.37

n = 200 so by using binomial distribution

a) P[x<64] = 0.0608

b) P[x>= 64] = 0.9391

c)P[64<x<86] = 0.9046

d) P[x<30%] = 0.0158

e) P[30%<x<38%] = 0.6291

f) P[x> 38%]0.3551

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