2.2.8The bending capabilities of plastic sheets are investigated by bending sheets at increasingly large angles until a deformity appears in the sheet. The angle at which the deformity first appears is then recorded. Suppose that this angle takes values between 0° and 10° with a probability density function f(0) = A(e¹0-0 - 1) for 0 ≤ 0 ≤ 10 and f(0) = 0 elsewhere. (a) Find the value of A and sketch the probability density function. (b) Construct and sketch the cumulative distribution function. (c) What is the probability that a plastic sheet can be bent up to an angle of 8° without deforming?
2.2.8The bending capabilities of plastic sheets are investigated by bending sheets at increasingly large angles until a deformity appears in the sheet. The angle at which the deformity first appears is then recorded. Suppose that this angle takes values between 0° and 10° with a probability density function f(0) = A(e¹0-0 - 1) for 0 ≤ 0 ≤ 10 and f(0) = 0 elsewhere. (a) Find the value of A and sketch the probability density function. (b) Construct and sketch the cumulative distribution function. (c) What is the probability that a plastic sheet can be bent up to an angle of 8° without deforming?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Please do part C
![2.2.8The bending capabilities of plastic sheets are investigated by bending
sheets at increasingly large angles until a deformity appears in the
sheet. The angle 0 at which the deformity first appears is then recorded.
Suppose that this angle takes values between 0° and 10° with a
probability density function
f(0) = A(e¹0- 0 – 1)
for 0 ≤ 0 ≤ 10 and f(0) = 0 elsewhere.
(a) Find the value of A and sketch the probability density function.
(b) Construct and sketch the cumulative distribution function.
(c) What is the probability that a plastic sheet can be bent up to an angle of
8° without deforming?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5797eb8-13e9-4394-9d7f-9d6d1c519849%2F54634fa6-f8ee-4d2c-a01d-1d1c103eb3ef%2F3nmaim_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.2.8The bending capabilities of plastic sheets are investigated by bending
sheets at increasingly large angles until a deformity appears in the
sheet. The angle 0 at which the deformity first appears is then recorded.
Suppose that this angle takes values between 0° and 10° with a
probability density function
f(0) = A(e¹0- 0 – 1)
for 0 ≤ 0 ≤ 10 and f(0) = 0 elsewhere.
(a) Find the value of A and sketch the probability density function.
(b) Construct and sketch the cumulative distribution function.
(c) What is the probability that a plastic sheet can be bent up to an angle of
8° without deforming?
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