Question

In the accompanying​ table, the random variable x represents the number of televisions in a household...

In the accompanying​ table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability​ distribution, find its mean and standard deviation.

x   P(x)
0   0.03
1   0.13
2   0.32
3   0.25
4   0.17
5   0.10

If the table is a probability​ distribution, what is its​ mean? Select the correct choice below and fill in any answer boxes within your choice.

A.Its mean is

​(Round to the nearest tenth as​ needed.)

B.The table is not a probability distribution.

C.If the table is a probability distribution, what is its deviation?

The standard deviation is ____

The table is not a probability distribution

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1
x P(x) xP(x) x2P(x)
0 0.0300 0.0000 0.0000
1 0.1300 0.1300 0.1300
2 0.3200 0.6400 1.2800
3 0.2500 0.7500 2.2500
4 0.1700 0.6800 2.7200
5 0.1000 0.5000 2.5000
total 2.7000 8.8800
E(x) =μ= ΣxP(x) = 2.7000
E(x2) = Σx2P(x) = 8.8800
Var(x)=σ2 = E(x2)-(E(x))2= 1.5900
std deviation=         σ= √σ2 = 1.2610

A)  .Its mean is =2.700

B) The standard deviation is =1.2610

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In the accompanying table, the random variable x represents the number of televisions in a household...
In the accompanying table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability distribution, find its mean and standard deviation. x P(x) 0 0.02 1 0.12 2 0.34 3 0.28 4 0.14 5 0.10 If the table is a probability distribution, what is its mean? Select the correct choice below and fill in any answer boxes within your...
1. Random Variable: The variable X represents the number of goals scored by the soccer team...
1. Random Variable: The variable X represents the number of goals scored by the soccer team Liverpool FC during all competitions of the 2018- 2019 season. X: 0, 1, 2, 3, 4, 5 P(X): 0.13, 0.25, 0.23, 0.17, 0.17, 0.05 a. Does the above table represent a probability distribution for the variable X? Explain. b. Calculate the mean value for the variable X. c. What is the probability that they score 2 or more goals for a given game during...
The accompanying table shows the probability distribution for x, the number that shows up when a...
The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the mean and standard deviation.   x         P(x)                                      1        0.14                                      2           ?                                      3        0.12 4 0.14                                      5        0.13                                      6        0.31
Choose an American household at random and let the random variable X be the number of...
Choose an American household at random and let the random variable X be the number of vehicles they own. Here is the probability distribution if we ignore the few households that own more than 5 vehicles: X 0 1 2 3 4 5 P(X=x) 0.09 0.36 0.35 0.13 0.05 0.02 a) What is the probability a household picked at random will own more than 3 vehicles? b) What is the mean and standard deviation?
1. The following table shows the probability distribution for the number of television sets per household...
1. The following table shows the probability distribution for the number of television sets per household surveyed. Complete the table below. For the first three columns, round to two decimal places. For the last column, round to four decimal places. (4 points) x f(x) (x)[f(x)] x– μ (x– μ)2 (x – μ)2f(x) 0 0.03 1 0.32 2 0.26 3 0.21 4 0.13 5 0.05       1.00 Compute the expected value [E(x)] of the number of television sets per household. (2 points)...
A business has six customer service telephone lines. Consider the random variable x = number of...
A business has six customer service telephone lines. Consider the random variable x = number of lines in use at a randomly selected time. Suppose that the probability distribution of x is as follows. x 0 1 2 3 4 5 6 0.05 0.10. 0.17 0.41. 0.17 0.07 0.03 Calculate the mean value and standard deviation of x. (Round your standard deviation to four decimal places.) μx= σx= What is the probability that the number of lines in use is...
An agency collects demographics concerning the number of people in families per household in a certain...
An agency collects demographics concerning the number of people in families per household in a certain country. Assume the distribution of the number of people per household is as shown in the table to the right. a. Calculate the expected number of people in families per household in the country. b. Compute the standard deviation of the number of people in families per household. x ​P(x) 2 0.27 3 0.26 4 0.27 5 0.13 6 0.03 7 0.04
Groups of adults are randomly selected and arranged in groups of three. The random variable x...
Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a​ self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied ​ x ​P(x) 0 0.351 1 0.427 2 0.200 3 0.022 Does the table...
x P(X=x) 0 0.44 The incomplete table at right is a discrete random variable x's probability...
x P(X=x) 0 0.44 The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of days in a week people exercise.  Answer the following: 1 0.18 2 0.02 3 (a) Determine the value that is missing in the table. 4 0.03 5 0.13 6 0.07 (b) Explain the meaning of " P(x < 2) " as it applies to the context of this problem. 7 0.04 (c) Determine the value of P(x >...
A random variable X has the following discrete probability distribution. x 12 19 22 24 27...
A random variable X has the following discrete probability distribution. x 12 19 22 24 27 32 p(x) 0.13 0.25 0.18 0.17 0.11 0.16 Calculate σ = standard deviation of X (up to 2 decimal places).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT