Suppose \( x \) is a normally distributed random variable with \( \mu = 13 \) and \( \sigma = 2 \). Find each of the following probabilities:a. \( P(x \geq 14) \) b. \( P(x \leq 9.5) \) c. \( P(13.5 \leq x \leq 17.6) \) d. \( P(8.22 \leq x \leq 15.76) \) Click here to view a table of areas under the standardized normal curve.**Solutions:**a. \( P(x \geq 14) = 0.309 \) (Round to three decimal places as needed.)b. \( P(x \leq 9.5) = 0.04 \) (Round to three decimal places as needed.)c. \( P(13.5 \leq x \leq 17.6) = 0.391 \) (Round to three decimal places as needed.)d. \( P(8.22 \leq x \leq 15.76) = \) (Round to three decimal places as needed.)Please refer to the standard normal distribution table to find these areas accurately. The values provided have been rounded to three decimal places for precision.

d. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Suppose x is a normally distributed random variable with u = 13 and o = 2. Find each of the following probabilities. a. P(x2 14) b. P(xS9.5) c. P(13.5 sxs17.6) d. P(8.22 sxs15.76) Click here to view a table of areas under the standardized normal curve. 1. P(x2 14)= .309 (Round to three decimal places as needed.) . P(xs9.5)= .04 (Round to three decimal places as needed.) =. P(13.5sxs 17.6) = .391 (Round to three decimal places as needed.) 1. P(8.22 sxs 15.76) = (Round to three decimal places as needed.)

Suppose x is a normally distributed random variable with u = 13 and o = 2. Find each of the following probabilities. a. P(x2 14) b. P(xS9.5) c. P(13.5 sxs17.6) d. P(8.22 sxs15.76) Click here to view a table of areas under the standardized normal curve. 1. P(x2 14)= .309 (Round to three decimal places as needed.) . P(xs9.5)= .04 (Round to three decimal places as needed.) =. P(13.5sxs 17.6) = .391 (Round to three decimal places as needed.) 1. P(8.22 sxs 15.76) = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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