Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places. Required:
a. Determine the mean of X.
b. Determine the variance of X
c. What is P(X < 3.7)?

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

(b)

Compute the variance of X as follows:

(c)

Compute the value of P(X < 3.7) as follows:

Thus, the value of P(X < 3.7)  is 0.4898.

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