Question

Define the probability distribution f by f(x) = 1/3, for x in [0,3]. The expected value...

Define the probability distribution f by f(x) = 1/3, for x in [0,3]. The expected value and variance of x, in that order, are Select one:

a. 3/2 and 3/4.

b. 3/2 and 1.

c. 2/3 and 4/9.

d. 1/3 and 1.

e. 1/3 and 1/9.

Homework Answers

Answer #1

We have given,                  
                  

                  

                  

a. 3/2 and 3/4
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1             Let X be an accident count that follows the Poisson distribution with parameter of 3....
1             Let X be an accident count that follows the Poisson distribution with parameter of 3. Determine:                                                                                                                                                                                                                            a             E(X)                                                                                                                                                              b             Var(X)                                                                                                                                                          c             the probability of zero accidents in the next 5 time periods                d             the probability that the time until the next accident exceeds n                e             the density function for T, where T is the time until the next accident                                                                                                                                                       2             You draw 5 times from U(0,1). Determine the density function for...
QUESTION 1 The expected value of a discrete random variable is: A)The mean B)The standard deviation...
QUESTION 1 The expected value of a discrete random variable is: A)The mean B)The standard deviation C) The probability of success D) The variance QUESTION 2 Expected value is: A)A measure of dispersion B) A measure of central location C)A measure of distance from the mean D)None of the above QUESTION 3 In combinations, A)n represents the number of objects, x represents multiply B)n represents nothing, x represents the number of elements C)n represents the total number of objects, x...
f(x)=Cx 1. what value should C be for this to be a valid probability density function...
f(x)=Cx 1. what value should C be for this to be a valid probability density function on the interval [0,4]? 2. what is the Cumulative distribution function f(x) which gives P(X ≤ x) and use it to determine P(X ≤ 2). 3. what is the expected value of X? 4. figure out the value of E[6X+1] and Var(6X+1)
What are the expected value, variance and standard deviation of the following probability distribution? Number of...
What are the expected value, variance and standard deviation of the following probability distribution? Number of Offices Proportion of Students p(X) 0 0.12 1 0.18 2 0.26 3 0.24 4 0.13 5 0.07 E(X) Var(X)
For the probability density function of the previous problem, f(x) = kx2 (the value of k...
For the probability density function of the previous problem, f(x) = kx2 (the value of k is 1/9) on the interval [0,3], compute the probability that x is between 1 and 2, i.e., compute P(1<x<2).
Consider the following probability distribution table: X 1 2 3 4 P(X) .1 .2 .3 .4...
Consider the following probability distribution table: X 1 2 3 4 P(X) .1 .2 .3 .4 If Y = 2+3X, E(Y) is: A.7 B.8 C.11 D.2 19. If Y=2+3X, Var (Y) is: A.9 B.14 C.4 D.6 20. Which of the following about the binomial distribution is not a true statement? A. The probability of success is constant from trial to trial. B. Each outcome is independent of the other. C. Each outcome is classified as either success or failure. D....
A random variable x has the following probability distribution. Determine the standard deviation of x. x...
A random variable x has the following probability distribution. Determine the standard deviation of x. x f(x) 0 0.05 1 0.1 2 0.3 3 0.2 4 0.35 A random variable x has the following probability distribution. Determine the expected value of x. x f(x) 0 0.11 1 0.04 2 0.3 3 0.2 4 0.35 QUESTION 2 A random variable x has the following probability distribution. Determine the variance of x. x f(x) 0 0.02 1 0.13 2 0.3 3 0.2...
13. If X follows the following cumulative probability distribution: 0 X≤5 0.10 (X-5) 5≤X≤7 F (X)...
13. If X follows the following cumulative probability distribution: 0 X≤5 0.10 (X-5) 5≤X≤7 F (X) 0.20 + 0.20 (X-7) 7≤X≤11 1 X≥11 a. Calculate a probability function f (X) (10 pts) b. Calculate the expected value of X and the Variance of X. (15 pts) c. Calculate the probability that X is between 6.0 and 8.80. (10 pts) d. Calculate the percentile of 70 percent. (10 pts) e. Calculate the expected g (x), if g (X) = 2X-10 (15...
6. A continuous random variable X has probability density function f(x) = 0 if x< 0...
6. A continuous random variable X has probability density function f(x) = 0 if x< 0 x/4 if 0 < or = x< 2 1/2 if 2 < or = x< 3 0 if x> or = 3 (a) Find P(X<1) (b) Find P(X<2.5) (c) Find the cumulative distribution function F(x) = P(X< or = x). Be sure to define the function for all real numbers x. (Hint: The cdf will involve four pieces, depending on an interval/range for x....
1. There is a random variable X. It has the probability distribution of f(x) = 0.55...
1. There is a random variable X. It has the probability distribution of f(x) = 0.55 - .075X, for 2 < x < 6. What is E(X)? 2. Continuing with the random variable X from question 1 (It has the probability distribution of f(x) = 0.55 - .075X, for   2 < x < 6): What is V(X)? 3. Let R and S be two independent and identically distributed random variables. E(R) = E(S) = 4. V(R) = V(S) = 3....