Larry is a 62% free-throw shooter, that is to say that anytime Larry attempts a free-throw, there is a 62% chance he will make it.
Larry will attempt 70 free throws. Assume each attempt is independent of every other attempt. LetX be thenumber of free throws Larry makes out of 70 and letP^P^ be theproportion of the 70 attempts Larry makes.
Using the normal curve, approximate the probability that Larry makes over half of the 70 free throws. In other words we seek either P(X > 35 ) or equivalently P(P^P^> 0.5 ).
Round to 4 decimal places.
Note: The answer can easily be obtained using the normal distribution excel spreadsheet. You will need to refer to the answers to parts a) and b) if finding P(X > 35 ) or refer to parts c) and d) if finding P(P^P^> 0.5 ). Both give the same answer.
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