. The random variable X has the following probability distribution. x P (X=x)( 0 0.25 )(-1 0.35) (-2 0.40) a. Calculate the population mean. b. Graph the probability distribution and show the mean in the graph.
. The random variable X has the following probability distribution. x P (X=x)( 0 0.25 )(-1...
Let X be a random variable with the following probability distribution: Value x of X P=Xx -20 0.25 -10 0.10 0 0.10 10 0.10 20 0.05 30 0.40 Find the expectation EX and variance VarX of X .
Let X be a random variable with the following probability distribution: Value x of X P( xx) 0.40 5 0.05 6 0.10 0.35 В 4 7 0.10 Find the expectation E(X) and variance Var (x) of X. (If necessary, consult a list of formulas.) х 5 2
2. Consider a discrete random variable X with mean u = 4.9 and probability distribution function p(x) given in the table below. Find the values a and b and calculate the variance o p(x) 0.25 5 6 0.35
Consider a random variable X with the following probability mass function P(X=0)=0.25, P(X=5)=0.5, P(X=12)=0.25. What is the expected value (or mean) of X?
. Suppose a discrete random variable has probability distribution P(x) = .2 if x = 0 p1 if x = 1 p2 if x = 2 a) If the mean of X = 1.3, find the variance of X.
In the following probability distribution, the random variable x represents the number of activities a parent of a 6 th- to 8th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.3670.1330.2090.1160.175(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
2) Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X=1) =0.2, P(X=2) = 0.3, P(X=3) = 0.3, and P(X=4)= 0.1. A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated...
In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5 th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.1670.1940.3440.1780.117(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because the sum of the probabilities is _______ and each probability is _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
A discrete random variable, X, has the following probability distribution: P(X) lorem What is the probability that X is not more than 1? (b) What is the probability that X is at least 22|| What is the mean of X? (d) What is the standard deviation of X?
Given that X is a continuous random variable that has a uniform probability distribution, and 0 < X < 8: a. Calculate P(X < 4) (to 3 significant digits). P(X < 4)= b. Determine the mean (µ) and standard deviation (σ) of the distribution (to 3 significant digits). µ = σ =