In: Math
| 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]? |