Consider the following probability function: po) -1/3 forx -0, 1,2 Determine the variance of x. Express...
Consider this probability mass function: px) - 2k forx- 2, 4, 6, 8, 10, 12 Determine k. Enter your answer to 4 decimal places using conventional rounding methods
The following function is probability mass function. f(x)-4x+2, X:0, 1, 2, 3, 4 Determine the mean, p, and variance, o2, of the random variable. Round your answers to two decimal places (e.g. 98.76) 2.80 9.2
The following function is probability mass function 5x 4 f (x) 0, 1, 2, 3, 4 x 70 Determine the mean, , and variance, o, of the random variable. Round your answers to two decimal places (e.g. 98.76) =
5)Visitors arrive to a water park according to a Poisson process with a mean of 3.30 visitors per minute. If the park opens at 8:00 am, what is the probability that no visitors arrive in a 3-minute period? Express your answer to four decimal places using conventional rounding methods. 7) Determine −z.05 Express your answer to two decimal places. 8) The probability that a standard normal random variable is equal to 0 is 0.50. T/F 10) The length of cracks...
Answer number 3, please. 2. The probability mass function below is defined forx - 0, 1,2,3,... 32 f(x)- What is the probability for each of the following expressions? a) P(X 2) b) P(X S2) c) P(X>2) d) P(X2 1) Determine values of the cumulative distribution function for the random variable in the previous problem 3.
Consider the probability density function 0 ifr <0 8.77 if 0 < x <1 0 if > 1 Find the median. Enter your answer to 3 decimal places. Answer:
Determine the mean and variance of the random variable with the following probability mass function f (x) (27/13)(1/3)*, x 1,2,3 Round your answers to three decimal places (e.g. 98.765) Mean- Variance
Consider the following exponential probability density function. f(x) = 1 4 e−x/4 for x ≥ 0 (a) Write the formula for P(x ≤ x0). (b) Find P(x ≤ 3). (Round your answer to four decimal places.) (c) Find P(x ≥ 4). (Round your answer to four decimal places.) (d) Find P(x ≤ 6). (Round your answer to four decimal places.) (e) Find P(3 ≤ x ≤ 6). (Round your answer to four decimal places.)
Determine the mean and variance of the random variable with the following probability mass function. f (x) (343/57) (1/7)*, x-1,2,3 Round your answers to three decimal places (e.g. 98.765) Mean Variance
Let X and Y be two random variables with joint probability mass function: (?,?) = (??(3+?))/(18*3+30)??? ?=1,2,3 ??? ?=1,2 (?,?) = 0, Otherwise. Please enter the answer to 3 decimal places. Find P(X>Y) and Let X and Y be two random variables with joint probability mass function: (?,?) = (??(4+?))/(18*4+30)??? ?=1,2,3 ??? ?=1,2 (?,?) = 0, Otherwise. Please enter the answer to 3 decimal places. Find P(Y=2/X=1) Please show work/give explanation