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5. The probability of a "Yes" outcome for a particular binary (yes/no) event is 0.1. For...

5. The probability of a "Yes" outcome for a particular binary (yes/no) event is 0.1. For a sample of n=1000 such events, let X be the number of "Yes" outcomes. Use the Normal approximation to the Binomal distribution to answer the following questions.
a. What is the probability the X is less than 80: P(X<80)?
b. What is the probability that X is greater than 115: P(x>115)?
c. What is the probability that the proportion of Yes outcomes is greater than 0.08: P[(X/n)>0.08]?
d. What is the probability that the proportion of Yes outcomes is less than 0.115: P[(X/n)<0.115]?

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