Question

A study conducted by three law school professors found that asylum seekers in the United States face broad disparities in the nation’s immigration courts. The professors discovered that 54% of refugees who ask for asylum in the San Francisco immigration court win asylum, but only 12% are granted asylum in the Atlanta immigration court. [Source: Julia Preston, “Wide Disparities Found in Judging of Asylum Cases,” The New York Times, May 31, 2007.]

Use the appropriate distribution to help answer the questions that follow.

BinomialPoisson

Binomial

Number of Trials = 20

Probability of Success = 0.33

You randomly select 20 refugees who are asking for asylum in the San Francisco immigration court. Let X denote the number of asylum seekers who win their cases.

The probability that exactly 11 asylum seekers are granted asylum is_____ .

The probability that at least seven asylum seekers are granted asylum is _______ .

The expected value of X is__________ , and the standard deviation of X is_____ .

Answer 1