Inverse Hypergeometric Probability A community college has 120 faculty members 40% of them have earned doctorates. A committee of 10 faculty members are selected at random to form a committee. We want to find the smallest interval [L, R] such that at lea time the number of Ph.D.s on the committee (X)will be in the interval. Specifically, we want the highest value of L so that P(X ≤ 5% and the lowest value of R so that P(X>R) ≤ 5%. Round values to 4 decimal places. L=2 R => What is the probability that X will be in this closed interval [L,R]? (Round to two decimal places.) * % Submit Answer

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Inverse Hypergeometric Probability
A community college has 120 faculty members 40% of them have earned doctorates. A committee of 10 faculty members are selected at random to form a committee. We want to find the smallest interval [L, R] such that at lea
time the number of Ph.D.s on the committee (X)will be in the interval. Specifically, we want the highest value of L so that P(X ≤ 5% and the lowest value of R so that P(X>R) ≤ 5%.
Round values to 4 decimal places.
L=2
R =>
What is the probability that X will be in this closed interval [L,R]? (Round to two decimal places.)
* %
Submit Answer
Transcribed Image Text:Inverse Hypergeometric Probability A community college has 120 faculty members 40% of them have earned doctorates. A committee of 10 faculty members are selected at random to form a committee. We want to find the smallest interval [L, R] such that at lea time the number of Ph.D.s on the committee (X)will be in the interval. Specifically, we want the highest value of L so that P(X ≤ 5% and the lowest value of R so that P(X>R) ≤ 5%. Round values to 4 decimal places. L=2 R => What is the probability that X will be in this closed interval [L,R]? (Round to two decimal places.) * % Submit Answer
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