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.

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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 Trials = 20
.35
.30
.25
Probability of Success 0.33
.20
.15
.10
.05
.00
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
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
Transcribed Image Text: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 Trials = 20 .35 .30 .25 Probability of Success 0.33 .20 .15 .10 .05 .00 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 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
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