The percent of fat calories that a person in America consumes each day is normally distributed with a meanof about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X =percent of fat calories.(a) Find the z-score corresponding to 38 percent of fat calories, rounded to 3 decimal places.(b) Find the probability that the percent of fat calories a person consumes is more than 38.(c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-score. Useyour z-score from part (a), rounded to one decimal place).Shade: Left of a value++++++-4-3+ Click and drag the arrows to adjust the values.-1.5-1012(e) Sketch the graph and write the probability statement.Edit Insert Formats ▾ B I U x₂ x²3:3€+++++++++A3(d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3decimal places.<>4Σ+ ΣAU

Given Mean=36 Standard deviations=10

Answered: The percent of fat calories that a…

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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Round each z-score to the nearest hundredth. A data set has a mean of x = 213 and a standard deviation of 48. Find the z-score for each of the following. (a) x = 200 (b) x = 224 (c) x = 300 (d) x = 100
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