Question

Asked Nov 10, 2019

Suppose you choose a real number X from the interval [2, 10] with a density function of the form f(x) = Cx, where C is a constant.

(a) Find C.

(b) Find P(E), where E = [a, b] is a subinterval of [2, 10].

(c) Find P(X > 5), P(X < 7), and P(X2 − 12X + 35 > 0).

Step 1

**Part (a) **

Here the given function is *f(x) = C x*

* *

* *

Where ** C** is a constant.

Find the constant function C and the given interval is **[2, 10]**

Step 2

Part (b)

Find P(E), where E = [a, b] is a subinterval of [2, 10].

Step 3

Part (c):

P(E), where E = [a, b] is a subinterval of [2, 10].

Now Find P(X > 5), P(X <...

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