5. An automobile dealer has found that X, the number of cars customers buy each week, follows the probability distribution kx² f(x) = x! -, x = 1, 2, 3, 4. 0, otherwise (a) Find k. (b) Find the probability the dealer sells at least two cars in a week. (c) Find F(x), the cumulative distribution function.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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5. An automobile dealer has found that X, the number of cars customers buy each week,
follows the probability distribution
kx²
-, x = 1, 2, 3, 4.
f(x) =
0, otherwise
(a) Find k.
(b) Find the probability the dealer sells at least two cars in a week.
(c) Find F(x), the cumulative distribution function.
Transcribed Image Text:5. An automobile dealer has found that X, the number of cars customers buy each week, follows the probability distribution kx² -, x = 1, 2, 3, 4. f(x) = 0, otherwise (a) Find k. (b) Find the probability the dealer sells at least two cars in a week. (c) Find F(x), the cumulative distribution function.
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