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Find each the following probabilities for a
a. p(–0.80 < z < 0.80)
b. p(–0.50 < z < 1.00)
c. p(0.20 < z < 1.50)
d. p(–1.20 < z < -0.80)
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- Let x be a normal random variable with its mean equal to 75 and standard deviation equal to 8. Find the following probabilities for this normal distribution. P(57 < x < 95). Enter your answers using four decimal places.Suppose z is the standard normal variable. It is suggested that you draw the normal curve for each of the following probability statements to visualize the required area. Report answers accurate to at least 4 decimal places. a. P(z -1.56) = c. P(z < 0) =Z denotes a variable having standard normal distribution. P(-0.45Assume z follows a standard normal distribution: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)Assume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.Find each of the probabilities, where z is a z-score from the standard normal distribution with mean of p =0 and standard deviation o = 1. Round to four decimal places, if necessary. P(z 0.39) = P(0 < z< 2.56) = P(-2.7214 d-fSuppose that X follows a binomial distribution with n = 100 and p = 0.1. If F(x) is the cumulative distribution function of the Standard Normal distribution. Then using the Normal approximation, the probability P(X = 16) is obtained by O a. F(2.17) - F(1.83) O b. F(1.83) - F(2.17) O c. F(16.5) + F(15.5) O d. F(17.0) - F(15.0)Suppose Z follows the standard normal distribution. calculator. Round your responses to at least three d (a) P(Z ≤ -1.80) = ☐ (b) P(Z > 1.41) = 0 (c) P(-0.63SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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