In basketball, the top free throw shooters usually have a probability of about 0.80 of making any given free throw. Over the course of a season, one such player shoots 400 free throws. 

a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. 

b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? 

c. Within what range would the proportion made be expected to fall?
 

a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. = Type an integer or a decimal.) 6= (Round to three decimal places as needed) b. By the normal distribution approximation, within what range would the number of free throws mads almost certainly fall, f p =0.80? The number of free throws made would almost certainly fall between O and (Use ascending order. Round to the nearest integer as needed) c. Within what range would the proportion of free throws made be expected to fall? The proportion of free throws made would almost certainly fall between and (Use ascending order. Round to two decimal places as needed)