Minitab Assignment

Instructions:

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

  1. 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.
    1. The binomial distribution with n = 20 and p = 0.2.
    1. The binomial distribution with n = 30 and p = 0.48
    1. The binomial distribution with n = 15 and p = 0.8.
  2. Suppose X is a binomial random variable with n = 35 and p = 0.67.
    1. What is the probability that X is exactly 20?
    1. What is the probability that X is at most 27?
    1. What is the probability that X is at least 15?

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

  1. For the standard normal distribution, Z, find the proportion (percentage) of observations that satisfies each of the following statements. In each case, use a graph of the Normal curve and shade the area under the curve that is the answer to the question.
    1. Values of z larger than 2.33.
    1. Between z = −1.50 and z = 1.18.
    1. Values of z less than 1.19.
  2. A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 77 and a standard deviation of 8. For each of the following products, a normal distribution plot shows the appropriate shaded area.
    1. What percentage of students scored lower than 70 on this exam?
    1. What percentage of students scored between 81 and 89?
    1. What percentage of students scored higher than 90 on this exam?
    1. What is the 80th percentile of scores?
    1.  What is the 95th percentile of score?
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