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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Shade the area under the curve corresponding to each of the
following probabilities. (Draw a new curve for each part.)
- 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.)
SECTION 6.3 Exercise Set 2
6.25 An online store charges for shipping based on the
weight of the items in an order. Define the random variable
x = weight of a randomly selected order (in pounds)
The density curve of x is shown here:
100
200
300
400
a. 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. Let
denote the amount of additional time tin minutes) that elaps-
es before the professor dismises elass. Supose that t has a
uniform distribution on the interval from 0 to 10 minutes. The
density curve is shown in the following figure:
Density
10
Time
10
(minutes)

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