Bird’s data analyst wants to model the sample mean distance of scooter rides. They plan to take a random sample of 41 scooter rides and to record the distance traveled on each ride (distance before the rider "releases" the scooter and the charge is processed). They decide it is reasonable to assume that the distribution of distances is approximately normal, but they don’t know the variance of the distribution. In the sample, the mean is 0.54 mile and the standard deviation is 0.1 mile. A) What is the Population?1) Bernoulli. Xi, i = 1,...,n are i. i.d. Bernoulli random variables with success probability p.2) Normal. Xi, i = 1,...,n are i. i.d. N(u, o?) 3) General (arbitrary). Xi, i = 1,...,n are i. i.d. with E[Xi] = u and Var(xi) = o.2) What is the Sample Statistic? 1) X = sample mean.2) X = sample number of "successes".3) p = sample proportion.4) s2 = sample variance. 3) What Sampling Distribution should we use to compute the probabilities in the next two questions (and why)?4) If the population mean of the distribution of distances is 0.5, what is the probability that the sample mean will be 0.54 or larger?5) What is the exact probability that the sample mean will be within 1/2 (one half) of one sample standard deviation of the population mean?