Question

Asked Nov 10, 2019

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Suppose you choose at random a real number X from the interval [2, 10].

(a) Find the density function f(x) and the probability of an event E for this experiment, where E is a subinterval [a, b] of [2, 10].

(b) From (a) find the probability that X > 5, that 5 < X < 7, and that X2−12X +35 >0.

Step 1

First find density function *f(x)*

Let **X **follows Uniform distribution

Step 2

X lies in the interval **[2, 10]**

The density function of X is:

Step 3

The probability of an event E...

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