# Question: Let X be the failure time in months of a

Let X be the failure time (in months) of a certain insulating material. The distribution of X is modeled by the pdf

Find

(a) P(40 < X < 60),

(b) P(X > 80)

Find

(a) P(40 < X < 60),

(b) P(X > 80)

## Answer to relevant Questions

A frequent force of mortality used in actuarial science is λ(w) = aebw + c. Find the cdf and pdf associated with this Makeham’s law. The torque required to remove bolts in a steel plate is rated as very high, high, average, and low, and these occur about 30%, 40%, 20%, and 10% of the time, respectively. Suppose n = 25 bolts are rated; what is the ...Let fX(x) = 1/10, x = 0, 1, 2, . . . , 9, and h(y | x) = 1/(10 − x), y = x, x + 1, . . . , 9. Find (a) f(x, y). (b) fY(y). (c) E(Y | x). For the random variables defined in Example 4.4-3, calculate the correlation coefficient directly from the Definition Show that the expression in the exponent of Equation 4.5-2 is equal to the function q(x, y) given in the text.Post your question