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Doctoral AssistantshipsOf Ph.D. students, 60% have paid
Chapter 4, Problem 42E(choose chapter or problem)
Problem 42E
Doctoral AssistantshipsOf Ph.D. students, 60% have paid assistantships. If 3 students are selected at random, find the probabilities
a. All have assistantships
b. None has an assistantship
c. At least 1 has an assistantship
Source: U.S. Department of Education. Chronicle of Higher Education.
Questions & Answers
QUESTION:
Problem 42E
Doctoral AssistantshipsOf Ph.D. students, 60% have paid assistantships. If 3 students are selected at random, find the probabilities
a. All have assistantships
b. None has an assistantship
c. At least 1 has an assistantship
Source: U.S. Department of Education. Chronicle of Higher Education.
ANSWER:
Solution:
Step 1 of 4:
Given, 3 students are selected random, 60% have paid assistantships.
Let X follows the Binomial distribution with the probability mass function
P(X = x) =
Where, p = 0.60, and n = 3.