9. Discrete probability distributions #1 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.] Select the appropriate distribution in the Distributions tool to help answer the questions that follow. Px) Binomial .40 Number of Theis = 15 .35 .30 .25 Frobability of Success = 0.54 .20 .15 .10 .05 .00 O O 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 You randomly select 10 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 four asylum seekers are granted asylum is 0.1692 _ The probability that at least seven asylum seekers are granted asylum is 0.2453 The expected value of X is 5.4 * , and the standard deviation of X is 1.5761