**Problem Statement:**Suppose \( Z \) follows the standard normal distribution. Use the calculator provided, or [this table](#), to determine the value of \( c \) so that the following is true.\[ P(Z > c) = 0.8264 \]Round your answer to two decimal places.**Input Field:**- [ ]**Buttons:**- [ X ] - [ ↻ ]**Navigation:**- Continue**Resources:**- © 2022 McGraw Hill LLC. All Rights Reserved.- Terms of Use- Privacy Center

Given that Z has standard normal distribution with mean zero and standard deviation one P(Z >…

Answered: Suppose Z follows the standard normal…

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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Terri Vogel, an amateur motorcycle racer, averages 129.52 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.28 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the proportion of her laps that are completed between 128.63 and 129.99 seconds.c. The fastest 3% of laps are under seconds.d. The middle 80% of her laps are from seconds to seconds.
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Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true. P(Z > c)=0.8264 Round your answer to two decimal places. X