Directions: Compute the expected value, variance, and standard deviation for random variable X whose probability table is given below: Possible Outcome -1 0 Probability 1 2 1/7 1/7 5/14 5/14 Probability Table for X 1. The Expected Value of X is E(X) 2. The Variance of X is Var(X) = 3. The Standard Deviation of X is Std(X)

Q: The probability distribution of a random variable X is given. x     −4         −2         0…

A:

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80…

Q: f(x, y) y 1 3 1 0.05 0.05 0.00 2 0.05 0.10 03 3 0.10 0.35 0.10

A: The table is as follows       x     f(x,y)   1 2 3 h(y)   1 0.05 0.05 0.1 0.2 y 3 0.05 0.1…

Q: Let X   be a random variable with the following probability distribution. Question table Value…

A: 20 0.3 6 400 120 30 0.05 1.5 900 45 40 0.4 16 1600 640 50 0.15 7.5 2500 375 60 0.1 6 3600…

Q: (1 point) Find the expected value for the random variable: X 3 P(X) 0.28 0.14 0.11 0.47 E(X) = %3D

A:

Q: P(x) O 0.033 Five males with an X-linked genetic disorder have one child each. The random variable x…

A: Given data is

Q: The probability function for a discrete event x is given in the table below. Calculate the expected…

A:

Q: The table shows the probability distribution for the num- ber of points (X) a player can win by…

A: Given,x12345P(x)0.40.20.20.10.1E(x)=∑x.P(x)E(x)=(1*0.4)+(2*0.2)+(3*0.2)+(4*0.1)+(5*0.1)E(x)=0.4+0.4+…

Q: Define the indicator variable IA of a random event A, and show that E(IA) = P(A).

A: We have to define the indicator variable IA of a random event A, and also to show that EIA=PA.

Q: rajectory of an electric circuit. Researchers at the University of California–Berkeley have…

A: Given: The circuit’s trajectory was shown to be uniformly distributed on the interval (0, 1)

Q: Probability distribution function of discrete random variable X is given as follows. Which of the…

A: Given probability distributionThe variance of discrete random variable X is calculated using the…

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.21 - 0.7 X=2 - 0.09 - 0.3…

Q: 18) Find the variance for the given probability distribution. x | P(x) 0 0.19 1 0.33 2 0.31 3 0.09 4…

A: Step 1:Step 2: Step 3: Step 4:

Q: variable with the following probability distribution. Value x of X P(X=x) 0 0.30 10 0.30 20 0.15 30…

A: From the provided information, The probability distribution is as follow: x P (X = x) 0…

Q: Suppose that a pair of fair dice are to be tossed, and let the random variableX denote the sum of…

A: A pair of fair dice to be tossed.The possible outcomes are 62 = 36The sample space is,S={ (1, 1),…

Q: Let X be a random variable with the following probability distribution. Question table Value   of X…

A: Probability distribution is,   x p(x) 1 0.10 2 0.60 3 0.15 4 0.10 5 0.05

Q: Calculate the mean and standard deviation of the discrete probability distribution. T 0 P(x) 0.15 5…

A: According to the given information in this question We need to find mean and standard deviation

Q: The table below shows the probability distribution for a discrete random variable X. X 0 1 2 4 5…

A: According to the given information in this question We need to find the value of n and expected…

Q: Ch: Estimating Random Variables Let Z be a standard normal random variable. Estimate via simulation…

A: Given Z is a standard normal random variable. We should find the value of P(Z2<2) using…

Q: A sociologist randomly selects single adults for different groups of​ three, and the random variable…

A:

Q: The probability distribution of a random variable X is given below. Given the mean Find the variance…

A: The provided information is as follows:The probability distribution of the random variable is given…

Q: A local library is analyzing the number of books checked out by patrons in a week. The probability…

A: Let X be the random variable which denotes the number of books checked out by patrons in a week. The…

Q: 8. A television station sells advertising in 15-, 30-, 60-, 90-, and 120-second blocks. The…

A: Given that: Probability distribution table of X: Length (in seconds), X Probability, P(X) 15…

Q: P(X) 2 0.1 4 0.4 6 0.4 8 0.1 A random variable X has a probability function as given in the table…

A: Given data, X P(X) 2 0.1 4 0.4 6 0.4 8 0.1

Q: A student takes a test in which they have to indicate whether each of n statements is true or false.…

A: It is interpreted that each statement has the only option of being "correct" (defined as success) or…

Q: A random variable X has the following probability distribution. Values of X -1 1 Probability 0.28…

A:

Q: P(x) Five males with an X-linked genetic disorder have one child each. The random variable x is the…

A: For the given data Find Mean =?

Q: variable with the following probability distribution. Value x of X P=Xx -20 0.10 -10 0.15 0 0.45 10…

A: