Can you please help me solve these 2 questions? The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x.P(x)0.1250.3750.3750.125O A. mean: 1.50; standard deviation: 0.76O B. mean: 1.50; standard deviation: 0.87C. mean: 2.25; standard deviation: 0.76O D. mean: 2.25; standard deviation: 0.87x O-23O O O C 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 less than two cars.O A. 0.428O B. 0.809Cars HouseholdsOC. 0.553125O D. 0.12514282563108483

Name: Can you please help me solve these 2 questions? The random variable x
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: Can you please help me solve these 2 questions? The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x.P(x)0.1

Answered: The random variable x represents the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

Can you please help me solve these 2 questions?

The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x.
P(x)
0.125
0.375
0.375
0.125
O A. mean: 1.50; standard deviation: 0.76
O B. mean: 1.50; standard deviation: 0.87
C. mean: 2.25; standard deviation: 0.76
O D. mean: 2.25; standard deviation: 0.87
x O-23
O O O C

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 less than two cars.
O A. 0.428
O B. 0.809
Cars Households
OC. 0.553
125
O D. 0.125
1
428
256
3
108
4
83

Expert Solution

Step 1

Hi! Thank you for posting the question. Since you have posted multiple questions, we are answering first question. If you need help with any other question, please re-post the question and mention the part you need help with.

Let X represent the number of boys in a family.

Mean of the random variable X:

$\begin{array}{rcl} M e a n & = & \sum_{}^{} x p (x) \\ = & (0) (0.125) + (1) (0.375) + (2) (0.375) + (3) (0.125) \\ = & 0 + 0.375 + 0.75 + 0.375 \\ = & 1.5 \end{array}$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Data Collection, Sampling Methods, and Bias$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions