Question

1) Answer the following problem, give an example if needed. a) How do you find the...

1) Answer the following problem, give an example if needed.

a) How do you find the expected value of a discrete random variable?

b) What does a probability density function measure?

Homework Answers

Answer #1

Question 1a)

Suppose, a discrete random variable takes values

with corresponding probabilities

Then the expected value of the random variable is found by the formula

Let, X is a random variable taking values 1,2, and 4, with chances 1/4, 1/2 and 1/4 respectively.

Then the expected value of X is

Question 1b)

A probability density function measures the probability that a certain continuous random variable lies within a given range.

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
How do I answer and solve this question? Does the problem specify a function with independent...
How do I answer and solve this question? Does the problem specify a function with independent variable x? If so, find the domain of the function. If not, find a value of x to which there corresponds more than one value of y. x2 + y2 = 9
Example Question with answer, My problem is at the bottom. Fill in the P(X = x)...
Example Question with answer, My problem is at the bottom. Fill in the P(X = x) values in the table below to give a legitimate probability distribution for the discrete random variable X, whose possible values are −6, 2, 3, 5, and 6. Value x of X: -6, 2, 3, 5, 6 P(X=x): 0.25, 0.21, 0.13, __, __ EXPLANATION The values that the discrete random variable X may take are −6, 2, 3, 5, and 6. Thus, it must be...
choose correct answer and explain why its true or how you get it? 1/A discrete probability...
choose correct answer and explain why its true or how you get it? 1/A discrete probability distribution: a/ assigns a probability to each possible value of the random variable. b/ can assume values between -1 and +1. c/ is a listing of all possible values of the random variable. d/is independent of the parameters of the distribution 2/ The probability that event A occurs, given that event B has occurred, is an example of: a/ a marginal probability. b/ more...
1) Which of the following statements is correct (circle one answer)? A. A random variable is...
1) Which of the following statements is correct (circle one answer)? A. A random variable is a subset of the sample space. B. The expected value of a random variable measures the variability of the random variable. C. If a discrete random variable has three possible values 1, 2, and 3, then its expected value has to be one of these three values. D. If the set of possible values of a random variable is {-17, 0, 1.4, 5000} then...
1. The number of units, x, needed of an item is discrete from 1 to 5....
1. The number of units, x, needed of an item is discrete from 1 to 5. The probability, p(x), is directly proportional to the number of units needed. The constant of proportionality is K. a. Determine the pmf of x b. Find the probability that x is an even value c. Compute the mean and variance of the random variable
how do you do a problem as such: a ball was dropped from a building in...
how do you do a problem as such: a ball was dropped from a building in a certain amount of seconds and hit the ground what is the height of the building? can you give an example and answer?
1.     Prompt 1: How does social referencing work? Can you give an example? When is social referencing...
1.     Prompt 1: How does social referencing work? Can you give an example? When is social referencing useful and when is it not? Why would you not want to use social referencing when responding to a toddler who has just taken a spill? 2.     Prompt 2: Can you give an example of a cultural script? Do you have any cultural scripts? What are they? 3.     Prompt 3: Make up a scene involving the RERUN process of problem solving.
Q6/   Let X be a discrete random variable defined by the following probability function x 2...
Q6/   Let X be a discrete random variable defined by the following probability function x 2 3 7 9 f(x) 0.15 0.25 0.35 0.25 Give   P(4≤  X < 8) ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ Q7/ Let X be a discrete random variable defined by the following probability function x 2 3 7 9 f(x) 0.15 0.25 0.35 0.25 Let F(x) be the CDF of X. Give  F(7.5) ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ Q8/ Let X be a discrete random variable defined by the following probability function : x 2 6...
answer, explain, and give example If you change the length of a resistor how does the...
answer, explain, and give example If you change the length of a resistor how does the current through a circuit change?
1. Find the missing value indicated by (A) to make this a valid discrete probability distribution....
1. Find the missing value indicated by (A) to make this a valid discrete probability distribution. x -10 30 50 90 100 P(X=x) 0.05 0.10 0.25 0.15 A 2. Calculate the mean of the random variable associated with the following discrete probability distribution. Do not round your answer. x -1 0 1 P(X=x) 0.5 0.2 0.3