The questions are in the photos below: I would like all of them solved and the correct options too.

Question 13 Not yet answered Marked out of 1.00 V Flag question In a pizza takeout restaurant, the following probability distribution was obtained. The random variable X represents the number of extra toppings for a large pizza_ Find the mean and standard deviation for the random variable X. x pr(X=x) 0 0.30 1 0.40 2 0.20 3 0.06 4 0.04 Select one: Q a. mean: 1.30; standard deviation: 1.54 O b. mean: 1.54; standard deviation: 1.30 O c. mean: 1.14; standard deviation: 1.04 Q d. mean: 1.30; standard deviation: 2.38 Question 16 Not yet answered Marked out of 100 V Flag question Z is a Standard Normal random variable. Find the probability pr(Z