Suppose that the weight of open boxes of cereal in a home with children uniformly distributed from three to seven pounds with a mean of five pounds and standard deviation of 1.1547. We randomly survey 64 homes with children. O Part (a) In words, define the random variable X. O the weight, in pounds, of open boxes of cereal O the weight, in pounds, of the children in the home O the number of open boxes of cereal in the home O the number of children in the home A Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.)
Suppose that the weight of open boxes of cereal in a home with children uniformly distributed from three to seven pounds with a mean of five pounds and standard deviation of 1.1547. We randomly survey 64 homes with children. O Part (a) In words, define the random variable X. O the weight, in pounds, of open boxes of cereal O the weight, in pounds, of the children in the home O the number of open boxes of cereal in the home O the number of children in the home A Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.)
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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4.
![Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from **three** to **seven** pounds with a mean of **five** pounds and a standard deviation of **1.1547**. We randomly survey 64 homes with children.
---
**Part (a)**
In words, define the random variable *X*.
- [ ] The weight, in pounds, of open boxes of cereal
- [ ] The weight, in pounds, of the children in the home
- [ ] The number of open boxes of cereal in the home
- [ ] The number of children in the home
---
**Part (b)**
Give the distribution of *X*. (Enter exact numbers as integers, fractions, or decimals.)
*X* ~ ? ( [ ] , [ ] )
---
**Part (c)**
In words, define the random variable ∑*X*.
- [ ] The total weight of all open boxes of cereal in 64 homes with children
- [ ] The total number of children in the 64 homes
- [ ] The total number of open boxes of cereal in the 64 homes
- [ ] The total weight of all children in the home
---
**Part (d)**
Give the distribution of ∑*X*. (Round your answers to two decimal places.)
∑*X* ~ ? ( [ ] , [ ] )
---
**Part (e)**
Find the probability that the total weight of open boxes is less than 315 pounds. (Round your answer to four decimal places.)
---
**Part (f)**
Find the 65th percentile for the total weight of open boxes of cereal. (Round your answer to two decimal places.)
[ ] lb](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F692b4a3d-b328-4d6d-8f5c-2ba3aed54605%2Fa2582b6b-fb4d-4646-9108-9d5c4d5c6785%2Fms2w4uq_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from **three** to **seven** pounds with a mean of **five** pounds and a standard deviation of **1.1547**. We randomly survey 64 homes with children.
---
**Part (a)**
In words, define the random variable *X*.
- [ ] The weight, in pounds, of open boxes of cereal
- [ ] The weight, in pounds, of the children in the home
- [ ] The number of open boxes of cereal in the home
- [ ] The number of children in the home
---
**Part (b)**
Give the distribution of *X*. (Enter exact numbers as integers, fractions, or decimals.)
*X* ~ ? ( [ ] , [ ] )
---
**Part (c)**
In words, define the random variable ∑*X*.
- [ ] The total weight of all open boxes of cereal in 64 homes with children
- [ ] The total number of children in the 64 homes
- [ ] The total number of open boxes of cereal in the 64 homes
- [ ] The total weight of all children in the home
---
**Part (d)**
Give the distribution of ∑*X*. (Round your answers to two decimal places.)
∑*X* ~ ? ( [ ] , [ ] )
---
**Part (e)**
Find the probability that the total weight of open boxes is less than 315 pounds. (Round your answer to four decimal places.)
---
**Part (f)**
Find the 65th percentile for the total weight of open boxes of cereal. (Round your answer to two decimal places.)
[ ] lb
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