Question

Consider the following probability distribution: xi= 0, 1, 2, 3 P(X=xi)= 0.1, 0.1, 0.1, 0.7 The...

Consider the following probability distribution:

xi= 0, 1, 2, 3

P(X=xi)= 0.1, 0.1, 0.1, 0.7

The expected value and standard deviation is?

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

Homework Answers

Answer #1

Solution :

Expected value E(x) = X * P(Xi)

= 0 * 0.1+ 1 *0.1 + 2 *0.1 + 3 *0.7  

= ( 0+ 0.1 + 0.2+ 2.1)

E(x)= 2.4

Standard deviation =

=X 2 * P(Xi) - E(x) 2

=  [ 02 *0.1+ 12 *0.1 + 22 *0.1 + 32 *0.7] -2.42

= [( 0+0.1 +0.4+6.3 ) )]-5.76

= 6.8-5.76

=1.04

=1.0198

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
Consider the following probability distribution. xi P(X = xi) –2 0.2 –1 0.1 0 0.3 1...
Consider the following probability distribution. xi P(X = xi) –2 0.2 –1 0.1 0 0.3 1 0.4 The variance is _____. The expected value is _____. The foreclosure crisis has been particularly devastating in housing markets in much of the south and west United States, but even when analysis is restricted to relatively strong housing markets the numbers are staggering. For example, in 2017 an average of three residential properties were auctioned off each weekday in the city of Boston,...
You are given the following Discrete Probability Distribution p(x) Row x P(x) 1 1 0.1 2...
You are given the following Discrete Probability Distribution p(x) Row x P(x) 1 1 0.1 2 2 0.156 3 3 0.147 4 4 0.2 5 5 0.222 6 6 0.056 7 7 0.02 8 8 0.099 1 Provide the following: Mean (Expected value) Variance Standard Deviation Graph (Histogram) of the Probability Distribution
Consider a random variable X with the following probability distribution: P(X=0) = 0.08, P(X=1) = 0.22,...
Consider a random variable X with the following probability distribution: P(X=0) = 0.08, P(X=1) = 0.22, P(X=2) = 0.25, P(X=3) = 0.25, P(X=4) = 0.15, P(X=5) = 0.05 Find the expected value of X and the standard deviation of X.
Assume that the following table is the probability distribution of X: X 0 1 2 3...
Assume that the following table is the probability distribution of X: X 0 1 2 3    P(X) 0.10 0.30 0.40 0.20 What are the “expected value” and “standard deviation” of X? Show your work.
Consider the probability distribution shown below. x 0 1 2 P(x) 0.65 0.30 0.05 Compute the...
Consider the probability distribution shown below. x 0 1 2 P(x) 0.65 0.30 0.05 Compute the expected value of the distribution. Compute the standard deviation of the distribution. (Round your answer to four decimal places.)
Consider the probability distribution shown below. x 0 1 2 P(x) 0.05 0.20 0.75 Compute the...
Consider the probability distribution shown below. x 0 1 2 P(x) 0.05 0.20 0.75 Compute the expected value of the distribution. Compute the standard deviation of the distribution. (Round your answer to four decimal places.)
xi 0          1           2          3 P(X = xi) 0.20     0.30&n
xi 0          1           2          3 P(X = xi) 0.20     0.30      0.40     0.10 What is the standard deviation of X? A 0.840 B 0.090 C 1.345 D 0.917
Suppose X has probability distribution x: 0 1 2 3 4 P(X = x) 0.2 0.1...
Suppose X has probability distribution x: 0 1 2 3 4 P(X = x) 0.2 0.1 0.2 0.2 0.3 Find the following probabilities: a. P(X < 2) b. P(X≤2 and X<4) c. P(X≤2 and X≥1) d. P(X=1 or X≤3) e. P(X=2 given X≤2)
Consider the probability distribution shown below. x 0 1 2 P(x) 0.05 0.50 0.45 Compute the...
Consider the probability distribution shown below. x 0 1 2 P(x) 0.05 0.50 0.45 Compute the expected value of the distribution. Consider a binomial experiment with n = 7 trials where the probability of success on a single trial is p = 0.10. (Round your answers to three decimal places.) (a) Find P(r = 0). (b) Find P(r ≥ 1) by using the complement rule. Compute the standard deviation of the distribution. (Round your answer to four decimal places.) A...
Consider the following data: x −4 −3 −2 −1 0 P(X=x)P(X=x) 0.3 0.1 0.1 0.2 0.3...
Consider the following data: x −4 −3 −2 −1 0 P(X=x)P(X=x) 0.3 0.1 0.1 0.2 0.3 Copy Data Step 2 of 5 : Find the variance. Round your answer to one decimal place.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT