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If the probability distribution for the random variable X is given in the table, what is the expected value of X? Xi -4 3 4 Pi 3 5 2
The probability distribution for the number of cards owned is given below: Number of cards: 0 1 2 3 4 5 Probability: 0.06 0.31 0.28 0.15 0.12 0.08 1) Show that above table is valid probability distribution 2)What is the expected value of number of cards owned by random person? 3)What is the probability that randomly selected person has less than 3 cards?
The table defines a discrete probability distribution. Find the expected value of the distribution. x 7 8 9 10 Pr(x) 1/3 1/3 1/3 0
For the probability distribution given below find the expected value and the standard deviation. Round off your answers to one decimal place. x p(x) 0 0.038 1 0.087 2 0.129 3 0.285 4 0.461
Use the probability distribution given in the table below and consider two new random variables, W= 1 + 9X and V = 4 + 2Y, to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Long commute (Y = 0) Short commute (Y = 1) Total Rain (X = 0) 0.04 0.50 0.54 No Rain (X = 1) 0.32 0.14 0.46 Total 0.36 0.64 1.00 Compute the mean of W. E(W) = (Round your response to two...
1. If the joint probability distribution of X and Y is given by f(x, y) for = 1,2,3; y=0,1,2,3 · 42 2. Referring to Exercise 1, find (a) the marginal distribution of X; (b) the marginal distribution of Y. 3. Referring to Exercises 1 and 2, find (a) The expected value of XY. (b) The expected value of X. (c) The expected value of Y (d) The covariance of X and Y (COV(X, Y)). Round your final answer to 3...
Probability The following table contains the probability distribution for X = the number of occupants in a randomly chosen car on University Ave on a Monday morning. X 1 2 3 4 5 P(X) 0.32 0.26 0.33 0.04 0.05 Calculate the mean or expected value for the number of occupants in a car on University Ave on Monday morning? Show your working or attach an image of your handwritten solution (write your name at the top of your paper)
Finding the Mean, Variance, and Standard Deviation of a Uniform Distribution Given the probability density function f(x)=1/6 over the interval [4,10] find the - expected value- the mean- the variance- the standard deviation- (I'm using a TI-83 plus to calculate my answers) Expected value:
Fill in the P(X=×) value in the table below to give a legitimate probability distribution for the discrete random variable X, whose possibles values are. -1, 0, 1, 4 Value x of X. P(X=×) -1. 0.16 0. 0.15 1 0.28 4. _____ 5. _____
Problem 3 Consider the random variable X of the previous question. a. Find the probability distribution of YX-1 b. Find the Expected Value of Y Problem2 Let X be the number of heads in three tosses of a fair coin. a. Display the probability distribution of X b. Find the Expected Value of X c. Find the Variance of X