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The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds. (a) What is the expected amount of time that it will take to produce a widget. (b) Find the probability that it takes at least 35 seconds to produce a widget. (c) Find the probability that it takes no more than 25 seconds to produce a widget. (d) Find the

The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds. (a) What is the expected amount of time that it will take to produce a widget. (b) Find the probability that it takes at least 35 seconds to produce a widget. (c) Find the probability that it takes no more than 25 seconds to produce a widget. (d) Find the

MATLAB: An Introduction with Applications
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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Solve in R programming language :

  1. The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds.

(a) What is the expected amount of time that it will take to produce a widget.

(b) Find the probability that it takes at least 35 seconds to produce a widget.

(c) Find the probability that it takes no more than 25 seconds to produce a widget.

(d) Find the probability that it takes between 26.1432 and 31.1432 seconds to produce a widget.

**Problem 3: Producing Widgets - A Study in Continuous Uniform Distribution** The time a machine takes to produce a widget is modeled as a continuous uniform random variable ranging from 20 to 40 seconds. Here are the tasks to solve: (a) **Expected Time to Produce a Widget:** - Determine the expected amount of time required for the machine to produce a widget. (b) **Probability of Production Duration of at Least 35 Seconds:** - Calculate the probability that the production time is at least 35 seconds. (c) **Probability of Production Duration of No More Than 25 Seconds:** - Find the probability that it takes no more than 25 seconds to produce a widget. (d) **Probability of Production Duration Between 26.1432 and 31.1432 Seconds:** - Find the probability of the production time being between 26.1432 and 31.1432 seconds.
Transcribed Image Text:**Problem 3: Producing Widgets - A Study in Continuous Uniform Distribution** The time a machine takes to produce a widget is modeled as a continuous uniform random variable ranging from 20 to 40 seconds. Here are the tasks to solve: (a) **Expected Time to Produce a Widget:** - Determine the expected amount of time required for the machine to produce a widget. (b) **Probability of Production Duration of at Least 35 Seconds:** - Calculate the probability that the production time is at least 35 seconds. (c) **Probability of Production Duration of No More Than 25 Seconds:** - Find the probability that it takes no more than 25 seconds to produce a widget. (d) **Probability of Production Duration Between 26.1432 and 31.1432 Seconds:** - Find the probability of the production time being between 26.1432 and 31.1432 seconds.
**Continuous Uniform Distribution Problem** 3. The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds. - (a) What is the expected amount of time that it will take to produce a widget? - (b) Find the probability that it takes at least 35 seconds to produce a widget. - (c) Find the probability that it takes no more than 25 seconds to produce a widget. - (d) Find the probability that it takes between 26.1432 and 31.1432 seconds to produce a widget.
Transcribed Image Text:**Continuous Uniform Distribution Problem** 3. The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds. - (a) What is the expected amount of time that it will take to produce a widget? - (b) Find the probability that it takes at least 35 seconds to produce a widget. - (c) Find the probability that it takes no more than 25 seconds to produce a widget. - (d) Find the probability that it takes between 26.1432 and 31.1432 seconds to produce a widget.
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