Question

Use the following information: Based on a study by Dr. P. Sorita Soni at Indiana University,...

Use the following information: Based on a study by Dr. P. Sorita Soni at Indiana University, we know that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, and 6% hazel.

Professor Kays collects eye color data from his students. What type of sample is this?

(1) Stratified (2) Random (3) Convenience (4) Cluster

Identify one factor that might make this particular sample biased and not representative of the general population of the United States.


If one person is randomly selected, what is the probability that this person will have brown or blue eyes?

If two people are randomly selected, what is the probability that both have brown eyes?

Homework Answers

Answer #1

Professor Kays collects eye color data from his students. What type of sample is this?

Answer: (3) Convenience

Identify one factor that might make this particular sample biased and not representative of the general population of the United States.

Answer: Since Professor Kays collects data from his students only , there may be sampling biasedness and also the variability cannot be measured and controlled, hence this particular sample is not representative of the general population of the United States.

If one person is randomly selected, what is the probability that this person will have brown or blue eyes?

P(Brown or Blue ) = P(Brown) +P(Blue) = 0.40+ 0.35 = 0.75

If two people are randomly selected, what is the probability that both have brown eyes?

The probability that both have brown eyes is = 0.40 * 0.40 = 0.16

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