Problem 12RE

Prison and Plea. Use the data in the accompanying table (based on data from Does It Pay to Plead Guilty? Differential Sentencing and the Functioning of the Criminal Courts, ” by Brereton and Casper, Law and Society Review, Vol. 16, No. 1). Express all probabilities as decimal numbers.

Blue Eyes About 35% of the population has blue eyes (based on a study by Dr. P. Sorita Soni at Indiana University).

a. If someone is randomly selected, what is the probability that he or she does not have blue eyes?

b. If four different people are randomly selected, what is the probability that they all have blue eyes?

c. Would it be unlikely to randomly select four people and find that they all have blue eyes? Why or why not?

Solution 12RE

- There is a probabilty that he or she does not have blue eys.
- = 0.0150
- Yes, the probability that selected four people have blue eyes is very less, so it is unusual.