Shade the area under the curve corresponding to each of thefollowing probabilities. (Draw a new curve for each part.)- Thickness0.200.40a. Verify that the total area under the density curve is equalto 1. [Hint: The area of a triangle is equal to (1/2)(base)(height).)b. What is the probability that x is less than 0.20? Less than0.10? More than 0.30?c. What is the probability that x is between 0.10 and 0.20?(Hint: First find the probability that x is not between (0).10and 0.20.)SECTION 6.3 Exercise Set 26.25 An online store charges for shipping based on theweight of the items in an order. Define the random variablex = weight of a randomly selected order (in pounds)The density curve of x is shown here:100200300400a. P(x< 1)b. P(x > 3)c. P(1 < x < 2)d. P(2 < x < 3) 6.30 A particular professor never dismisses class early. Letdenote the amount of additional time tin minutes) that elaps-es before the professor dismises elass. Supose that t has auniform distribution on the interval from 0 to 10 minutes. Thedensity curve is shown in the following figure:Density10Time10(minutes)

(Since it has been not mentioned which question so, as per our protocol we shall only answer the…

- Thickness 0.20 0.40 a. Verify that the total area under the density curve is equal to 1. [Hint: The area of a triangle is equal to (1/2)(base) (height).] b. What is the probability that x is less than 0.20? Less than 0.10? More than 0.30? c. What is the probability that x is between 0.10 and 0.20? (Hint: First find the probability that x is not between (0.10 and 0.20.)

- Thickness 0.20 0.40 a. Verify that the total area under the density curve is equal to 1. [Hint: The area of a triangle is equal to (1/2)(base) (height).] b. What is the probability that x is less than 0.20? Less than 0.10? More than 0.30? c. What is the probability that x is between 0.10 and 0.20? (Hint: First find the probability that x is not between (0.10 and 0.20.)

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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