After solving we found that expected value of X is 2.48

Question 42 2 pts Suppose X is a discrete random variable with the following information: The...
2. For a discrete random variable X, with CDF F(X), it is possible to show that P(a < X S b)-F(b) - F(a), for a 3 b. This is a useful fact for finding the probabil- ity that a random variable falls within a certain range. In particular, let X be a random variable with pmf p( 2 tor c-1,2 a. Find the CDF of X b. Find P(X X 5). c. Find P(X> 4). 3. Let X be a...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
Suppose that X is a discrete random variable with pmf, p(x), arn x1 and x2 be numerical values in the range of X. dCDEFGT-Let- What should be in the blank space? F(0) Fx1)
. Assignment of probability p, to each value of the Continuous Random Variable x. B. Assignment of frequency f, to each value of the Discrete Random Variable x. C. Assignment of probability p, to each value of the Discrete Random Variable x. D. Assignment of frequency f, to each value of the Continuous Random Variable x. Given the discrete probability distribution in the table below, answer questions 12-15 23 4 Po)10.12a a-0.11 0.28 12. Calculate a A. 0.46 B. 0.33...
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. Also, calculate the expected value of X. Round solution to three decimal places, if necessary.x46710111219P(x)0.140.080.140.080.110.320.13μ=σ2=σ=What is the expected value of X ?E(X)=
5. Let X be a discrete random variable with the following PMF: for x = 0 Px(x)- for 1 for x = 2 0 otherwise a) Find Rx, the range of the random variable X. b) Find P(X21.5). c) Find P(0<X<2). d) Find P(X-0IX<2)
Example 5.5 (Discrete case). Let X be a discrete random variable, r be its observation, and the pmf of X be given by 1 2345678 9 10 ac f (x:0) 0 0.58 0.02 0.05 0.03 0.11 0.01 0.07 0.04 0.09 f( 1) 0.6 0 0.06 0.08 0.03 0.01 0.04 0.12 0.02 0.04
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of points scored during a basketball game. (b) The square footage of a house. (a) Is the number of points scored during a basketball game discrete or continuous? O A. The random variable is continuous. The possible values are x = 0, 1, 2,.... OB. The random variable is continuous. The possible values are x20. O C....
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. X 2 3 8 10 16 18 20 P(X) 0.13 0.11 0.37 0.08 0.13 0.09 0.09 μ = σ2 = σ = What is the expected value of X? (All answers should be rounded to one more decimal place than the raw data.) (Remember to perform all calculations before rounding to avoid a rounding error.)
Determine whether the random, variable is discrete or continuous. In each case, state the possble values of the random variable. (a) The number of people in a restuarant that has a capacity of 100 (b) The square footage of a house. (a) Is the number of people in a restuarant that has a capacity of 100 discrete or continuous? 0 A. The random variable is discrete. The possible values are oss 100. B. Tie random variable is continuous. The possible...