1.Data follows a normal distribution with a mean of 110 and a standard deviation of 15.Compute the following:

Probability of a value greater than 115

Probability of a value of exactly 100

Probability of a value between 65 and 85

2.Given 350 binary trials, with a probability of success of 72% on each trial, compute the following: Probability of exactly 250 successes

Probability of fewer than 250 successes

Probability of at least 245 successes

3.Data follows a Poisson distribution with a mean of 35.Compute the following:

Probability of a value of 28 or less

Probability of a value equal to 25

Probabillity of a value greater than 30

4.This year my in-person classes were altered dramatically with COVID-19 restrictions. Due to the pandemic, let's estimate that the probability of attending any given class for a student was .2. For the Spring, if I wanted to build a model that looked at class sizes of 20 students and estimate the probability that a given number of students attend a class, which distribution that we have studied would be the most appropriate to use?