Using the Poisson distribution formula, what is the probability of exactly 4 bridge construction projects taking place at one time in this state? Answer choices are rounded to the hundredths place

MUST BE COMPLETED IN MINITAB

Module 3 Minitab Assignment

Instructions:

Below you will find questions. Please use the provided data to complete the tasks and to answer the questions.

Produce the probability histogram (probability distribution plot) of each of the following and state if the distribution is symmetric, skewed to the left, or skewed to the right.

The binomial distribution with n = 20 and p = 0.2.

The binomial distribution with n = 30 and p = 0.48

The binomial distribution with n = 15 and p = 0.8.

Suppose X is a binomial random variable with n = 35 and p = 0.67.

What is the probability that X is exactly 20?

What is the probability that X is at most 27?

What is the probability that X is at least 15?

Consider a Poisson distribution with an average of customers per minute at the local grocery store. If X = the number of arrivals per minute, find the probability of more than 7 customers arriving within a minute.