Answer to Question #265906 in Mechanical Engineering for Steve

Question

Find the cumulative distribution function of the random variable X  representing the number of defective in problem a. Then using F(x). Find

        P(X=1) and P (0<X£2)

Answer 1

The cumulative distribution function of a random variable X is the probability that X will take values less than or equal to specific value x.

It is denoted by $F_X(x)=P(X\le x)$

The probability that X=1 is $\frac{4}{7}$

The probability that X is greater than 0 and less than or equal to 2 is $\frac{5}{7}$