There are acts in a talent show. A comedian, a dancer, a guitarist, a magician, a pianist, a singer, a violinist, and a whistler. A talent show host randomly schedules the acts. Compute the probability of each of the following events. Event A: The first four acts are the pianist, the magician, the whistler, and the dancer, in any order. Event B: The violinist is first, the magician is second, the dancer is third, and the pianist is fourth.

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. complete parts (a) through (c) below. a. if 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?