- 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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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)
Transcribed Image Text: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)
Transcribed Image Text: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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