Find the 50-th percentile of X. That is to say the value of x such that P (X ≤ x) = 0.5.   b. Now say you have two independent jet engines. What is the probability that only one of them will last more than 12 months before needing to be rebuilt?   c. Find the probability density function f(x) by taking the derivative of F(x) with respect to x.

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Consider the following exponential probability density function. f(æ) = e for x>0 a. Which. of the following is the formula for P(x 4) (to 4 decimals). d. Find P(x < 5) (to 4 decimals). e. Find P(2 < x < 5) (to 4 decimals).

c. can be any value. O d. cannot be negative. QUESTION 7 For a continuous random variable x, the height of the function at x is a. the probability at a given value of x. b. 0.50, since it is the middle value. c. a value less than zero. d. named the probability density function f(x). QUESTION 8 For any continuous random variable, the probability that the random vari a. is any number between zero and one. b. is more than one, since it is continuous.