Objectives 1. 2. Questions: 1, Understand the conditions for a binomial experime

Question

Objectives 1. 2. Questions: 1, Understand the conditions for a binomial experiment. Compute probabilities of a binomial experiment using Binompdf and BinomcDF. The Center for Disease Control found that only 13% of adults IN THE WORLD have high cholesterol. Suppose you went across THE WORLD and randomly asked 4 people if they have high cholesterol, and recorded the number who have high cholesterol. a. This is a Binomial experiment. Explain how this experiment satisfies the 4 requirements of a binomial experiment. b. What is a success in this experiment? What is a failure? c. What is n? p? d. Give the mean and standard deviation of this binomial distribution. Set up a probability distribution table with the possible outcomes, x, on the left, and probability of each outcome on the right. Fill in each probability using the binompdf from your calculator. Give each probability as a decimal between 0 and 1 or a percent. e.

Explanation / Answer

a) Number of trails n = 4 is finite and small
P is probability of success is 0.13
Here people (trails) are independent
Each person have either satisfy or not satisfy

b) Success in this experiment is person have high cholesterol
Failure of this experiment is person have not high cholesterol

c) n = 4
P is probability of success p= is 0.13 , q = 1 - 0.13 = 0.87

d) mean np = 4*0.13 = 0.52
SD = sqrt(npq) = sqrt(4*0.13*0.87) = 0.6726

e) The probability distributio of X is

x Probabilities 0 0.57289761 1 0.34242156 2 0.07674966 3 0.00764556 4 0.00028561

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