Compute the following probabilities for the standard normal distribution Z. (round to three decimal places A. P(0 < Z < 1.9)= B. P(-1.85 < Z < 0.15)= C. P(Z > -1.4)=
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A: Solution
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- Compute the following probabilities for the standard normal distribution Z. A. P(0 -1.2)=For a standard normal distribution, if we know P( z < - 2.0) is 0.0228, then P(z > 2) is...If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1. The probability that the variable takes a value less than -0.9 or greater than 0.5 is: Select one: P(Z < -0.9 or Z > 0.5) = 0.5074 P(Z < -0.9 or Z > 0.5) = 0.1915 P(Z < -0.9 or Z > 0.5) = 0.3159 P(Z < -0.9 or Z > 0.5) = 0.4926
- Assume Z has a standard normal distribution. Use Appendix Table III to determine the value for z that solves each of the following: (a) P(- z < Z < z) = 0.95. z = 1.96 (Round the answer to 2 decimal places.) (b) P(- z < Z < z) = 0.99. z = 2.576 (Round the answer to 2 decimal places.) (c) P(-z< Z < z) = 0.66. z = i (d) P(- z < Z < z) = 0.9973. z = (Round the answer to 2 decimal places.) (Round the answer to 1 decimal place.)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(-2.72Suppose 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(-0.63Suppose the random variable Z follows a standard normal distribution (the tabled curve). Find the chance Z is greater than 1.26. P(Z > 1.26) = Use 4 decimal places.Find the following probability for a normal distribution p(z < -1.50) p =Let the r.v. Z have the standard normal distribution. Find (i) P(Z≤-2.15) (ii) P (Z≥ 1.96) (iii) P (-1.96≤ ? ≤ −0.84) (iv) P (-1.30≤ ? ≤ 2.18) (v) P (0≤ ? ≤ 1.20)Let the random variable Z follow a standard normal distribution. a. Find P(Z 1.73). c. Find P(Z - 1.32). e. Find P(1.07Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z ≤ 2.14) = 0 (b) P(Z > 1.29) = 0 X 6 (c) P(-0.94Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON