38. 1. A shipment of 20 cellphones to a store contains 3 that are defective. If the store sells 2 cellphones, find (a) the probability distribution for the number of defectives. (b) the cumulative distribution function for the number of defectives. 2. A random variable X has probability distribution given by x2 f(x) = { 0, -2< x <4 otherwise (a) Verify that f(x) is a density function (i.e, f(x) ≥ 0 and √ f(x) dx = 1). (b) Use f(x) to find P(0 < X ≤ 1). (c) Find the cumulative distribution function F(x) and use it to find P(0 ≤ X ≤ 1).
38. 1. A shipment of 20 cellphones to a store contains 3 that are defective. If the store sells 2 cellphones, find (a) the probability distribution for the number of defectives. (b) the cumulative distribution function for the number of defectives. 2. A random variable X has probability distribution given by x2 f(x) = { 0, -2< x <4 otherwise (a) Verify that f(x) is a density function (i.e, f(x) ≥ 0 and √ f(x) dx = 1). (b) Use f(x) to find P(0 < X ≤ 1). (c) Find the cumulative distribution function F(x) and use it to find P(0 ≤ X ≤ 1).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Transcribed Image Text:38.
1. A shipment of 20 cellphones to a store contains 3 that are defective. If the store sells
2 cellphones, find
(a) the probability distribution for the number of defectives.
(b) the cumulative distribution function for the number of defectives.
2. A random variable X has probability distribution given by
x2
f(x) = {
0,
-2< x <4
otherwise
(a) Verify that f(x) is a density function (i.e, f(x) ≥ 0 and √ f(x) dx = 1).
(b) Use f(x) to find P(0 < X ≤ 1).
(c) Find the cumulative distribution function F(x) and use it to find P(0 ≤ X ≤ 1).
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