a) P(X>14) = 1-0.31 = 0.69
b) P(X<=27) = 0.49-0.31 = 0.18
c) P(14<X<=22) = (1-0.46)-0.31 = 0.23
d) P(X<=18) = 0.47-0.18 = 0.29
Let P(A) = 0.64, P(B | A) = 0.49, and P(B | Ac) = 0.24. Use a probability tree to calculate the following probabilities: (Round your answers to 3 decimal places.) a. P(Ac) b. P(A ∩ B) P(Ac ∩ B) c. P(B) d. P(A | B)
Let A and B be independent events with P(A) = 0.46 and P(B) = 0.56. a. Calculate P(A ∩ B). (Round your answer to 2 decimal places.) b. Calculate P((A U B)c). (Round your answer to 2 decimal places.) P((A U B)c) c. Calculate P(A | B). (Round your answer to 2 decimal places.)
The test statistic of zs -2.78 is obtained when testing the claim that p <0.46. a. Using a significance level of a=0.01, find the critical value(s). b. Should we reject He or should we fail to reject H? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. The critical value(s) is/are z= (Round to two decimal places as needed. Use a comma to separate...
Consider the following discrete probability distribution. x 15 22 34 40 P(X = x) 0.13 0.49 0.24 0.14 a. Is this a valid probability distribution? Yes, because the probabilities add up to 1. No, because the gaps between x values vary. b. What is the probability that the random variable X is less than 38? (Round your answer to 2 decimal places.) c. What is the probability that the random variable X is between 10 and 28? (Round your answer...
Let X be an exponential random variable such that P(X < 27) = P(X > 27). Calculate E[X|X > 23].
2. Let X be a binomial random variable with n 18 and p 0.48. Find (а) Р(X — 17) (b) Р(14 < X < 22) (c) the largest integer m such that P(X > m) > 0.7. You could do this by trial-and-error or by automating the process with for loop
3(8r - , 0<x<4 Determine the mean and variance of the random variable for f(x) Round your answers to two decimal places (e.g. 98.76) E(X) VOX) = Click if you would like to Show Work for this question: Open Show Work 128
Let the random variable X have a discrete uniform distribution on the integers 10 x 20, Determine the mean, μ, and variance, σ', of X Round your answers to two decimal places (e.g. 98.76) 14.85 3.12
Let X be normally distributed with mean μ = 22 and standard deviation σ = 16. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 6). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(2 ≤ X ≤ 26). (Round "z" value to 2 decimal places and final...
Let X be a binomial random variable with n = 100 and p = 0.2. Find approximations to these probabilities. (Round your answers to four decimal places.) (c) P(22 < X < 26)