Suppose thatxhas a binomial distribution withn= 202 andp= 0.47.(Round np and n(1-p) answers to 2 decimal places. Round youranswers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value () to 4 decimal places.)

(a)Show that the normal approximation to the binomial can appropriately be used to calculate probabilities aboutx.

If i did it correctly the mean is 94.94 and the standard deviation is 50.32.

(b)Make continuity corrections for each of the following, and then use the normal approximation to the binomial to find each probability:

p(x=81) ?

p(x<=98) ?

p(x<70) ?

p(x>=105) ?

p(x>104) ?