Can you please help me solve these? The random variable x represents the number of cars per household in a town of 1000 households. Findthe probability of randomly selecting a household that has between one and three cars, inclusive.O A. 0.792O B. 0.208Cars HouseholdsO C. 0.256125O D. 0.125142822563108483 A test consists of 940 true or false questions, If the student quesses on each question, what is the standard deviation of the number of oorrect answers? Round the answer to the nearest hundredth.O A. 2.00OB. 15.33OC. 21.68O D. 0.00

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Description: Can you please help me solve these? The random variable x represents the number of cars per household in a town of 1000 households. Findthe probability of randomly selecting a household that has between one and three cars, inclusive.O A. 0.792O B. 0.

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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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Can you please help me solve these?

The random variable x represents the number of cars per household in a town of 1000 households. Find
the probability of randomly selecting a household that has between one and three cars, inclusive.
O A. 0.792
O B. 0.208
Cars Households
O C. 0.256
125
O D. 0.125
1
428
2
256
3
108
4
83

A test consists of 940 true or false questions, If the student quesses on each question, what is the standard deviation of the number of oorrect answers? Round the answer to the nearest hundredth.
O A. 2.00
OB. 15.33
OC. 21.68
O D. 0.00

Expert Solution

Step 1

Given Information:

The random variable X represents the number of cars per household in a town of 1000 households.

To find the probability of randomly selecting a household that has between 1 and 3 cars inclusive.

A probability distribution is a list of all the possible outcomes of a random variable X along with their corresponding probability values P(X).

Probability distribution table for the given data is given below:

No. of cars (X)	Households	P(X)
0	125	$\frac{125}{1000} = 0.125$
1	428	$\frac{428}{1000} = 0.428$
2	256	$\frac{256}{1000} = 0.256$
3	108	$\frac{108}{1000} = 0.108$
4	83	$\frac{83}{1000} = 0.083$
Total	1000	1

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