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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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