10) For the standard normal random variable Z, compute the following probability. P(|Z| ≤ 1.45) a) 0.8530 b) 0.5830 c) 0.0358 d) 0.5308
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- Let x be a normally distributed random variable with the following parameters: μ = 135.628 σ = 28.622 12 What is the probability that x will be below 100 ? a 0.1343 b 0.1243 c 0.1151 d 0.106610 - The average of the continuous random variable is normally distributed as 40, the standard deviation being 10. So what is the probability of P (30Find the following probability for the standard normal random variable z. a. P(z=2) e. P(-2≤z≤2) b. P(z ≤2) f. P(-1≤z≤1) c. P(Z 2) h. P(-0.35As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car counter at Honolulu International Airport has the following probability distribution. Automobiles Rented Probability 0 .10 1 .25 2 .45 3 “a” 4 .05 Find the probability of renting between 2 and 4 automobiles (including 2 and 4).Assume that the random variable X is normally distributed, with mean = 90 and standard deviation o=8. Compute the probability P(X<100). O 0.9015 0.8944 O 0.1056 0.8849Let X be a random variable with the following distribution and let Y = 2X2 - 3. a) what is the distribution of Y? b) what is the joint distribution of X and Y? c) What is cov(X,Y)?Let z be a random variable with a standard normal distribution. Find the indicated probability: P ( -0.84<z <2.56) a).7943 b) .7634 c) .2057 d) 1Let ? be a random number between 0 and 1 produced by the idealized uniform random number generator. Use the density curve for ?, shown below, to find the probabilitiesNoneRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON