Let X be a geometric random variable with p = 0.83. Use your calculator to find...
Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(-csz<c)=0.9426 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. x 3 ? Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(0.55 <<c) -0.2624 Carry your intermediate computations to at least four decimal places. Round your answer to...
Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(1.22<Z<c)=0.0703 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. 0 X $ ?
Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(Z<c) = 0.8790 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. . Х 5 ?
Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(Z<c)=0.8389 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. х ?
3. Let X be a geometric random variable with parameter p. Prove that P(X >k+r|X > k) = P(X > r). This is called the memoryless property of the geometric random variable.
decimal. I variable. Find P(X<0). Express your answer as a 0.5 Question 2 1 pts Let X be a standard normal random variable. Find PIX <-2.27). Express your answer as a decimal. Question 3 1 pts Let X be a standard normal random variable. Find PX 2.82), Express your answer as a
Problem 8 (10 points). Let X be the random variable with the geometric distribution with parameter 0 <p <1. (1) For any integer n > 0, find P(X >n). (2) Show that for any integers m > 0 and n > 0, P(X n + m X > m) = P(X>n) (This is called memoryless property since this conditional probability does not depend on m. Dobs inta T obabilita ndomlu abonn liaht bulb indofootin W
Let X be an exponential random variable such that P(X < 27) = P(X > 27). Calculate E[X|X > 23].
Let the random variable Z follow a standard normal distribution. Find P(-2.35 < Z< -0.65). Your Answer:
5. Let X be a discrete random variable with the following PMF: for x = 0 Px(x)- for 1 for x = 2 0 otherwise a) Find Rx, the range of the random variable X. b) Find P(X21.5). c) Find P(0<X<2). d) Find P(X-0IX<2)