Find the following probabilities for the standard normal random variable z: a. P(z > 3.09) b. P(z ≤ 0) c. P (z ≤ 1.96) d. P (-1 ≤ z ≤ 1)
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Find the following
a. P(z > 3.09)
b. P(z ≤ 0)
c. P (z ≤ 1.96)
d. P (-1 ≤ z ≤ 1)
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- Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). Use Table 1 in Appendix B. a. P(-1.96Suppose x is a normally distributed random variable with µ= 15 and o =2. Find each of the following probabilities. a. P(x2 19) b. P(x<12) c. P(15.42The random sample X is normally distributed with mean 50 and standard deviation 18. If n=324, compute the following probabilities: P(X 2 48) is: O.5080 .4772 .9772 .6038 O O O OFind 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(-0.352.2 handwritten Answer letters f, g and hf. P(z< -.71) 13. Given that z is a standard normal random variable, compute the following probabilities. P(-1.988Given 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