For the standard normal random variable z, compute the following probabilities (if required, round your answers to four decimal places): a. P (0 ≤ z≤ 0.88) = bp (-1.51 ≤ z ≤ 0) = c. P (z> 0.43) =
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- How were the answers of 0.5000, 0.3810, 0.1586, and 0.1586 attained?Find the value of the standard normal random variable z, called zo such that: (a) P(z ≤ zo) = 0.7055 ZO = (b) P(-20 ≤2≤ 20) = 0.0856 Zo = (c) P(-20 ≤ zLet 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 0.1066Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c . =P (≤ c ≤Z−1.18) = 0.0896 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.For the standard normal random variable z, compute the following probabilities (if required, round your answers to four decimal places): P (z ≥ −0.23) = P (z < 1.20) = P (z ≤ −0.71) =Find 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(-0.35Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P(z > 1.53) = |Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P(z s 0.52) = 0 P(z > -1.60) = 0 P(0.78 < z < 2.17) = OLet Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z s 0.68) = [D (b) P(z > -1.90) = (c) P(1.10 < Z < 2.20) =Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). a. P(-1.98 < z< 0.49) b. P(0.58Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). a. P(-1.98 < z< 0.49) b. P(0.56 < z < 1.29) c. P(-1.73 < z < -1.07) O O ORecommended 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