Suppose that the random variable X has cumulative distribution function F(x) = 0 if x

Name: Suppose that the random variable X has cumulative distribution function F(x) = 0 if x < ?2, x^2 - 2 if ?2 ? x < ?3, 1 if x ? ?3 a. Find the smallest interval [a, b] such that P(a ? X ? b) = 1. a = b = b. Find P(X = 1.6). Prob = c. Find P(1 ? X ? 5/3). Prob = d. Find the probability density function of X. Give an equation for it on the interval you found in part (a). (Outside of this interval, the density is 0.) f(x) =
Uploaded: 2023-06-20T04:15:08-08:00
Duration: 2 min 9 s
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Question

Suppose that the random variable X has cumulative distribution function F(x) =  0 if x &lt; ?2, x^2

Rosina Dapaah · Accepted Answer

1. We need to find the smallest interval [a, b] such that P(a &lt; X &lt; b) = 1. Since the cumulative

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