2. (10 points) The random variable X has the following probability distribution x 2 3 5 8 Pr(X = x) 0.2 0.4 0.3 0.1
a) Pr (X<=3) P(X<=3)
b) Pr( 2.7<X<5.1)
c)Pr(X>2.5)
d) E(X)
2. (10 points) The random variable X has the following probability distribution x 2 3 5...
Determine if the following tables can serve as a probability distribution for some random variable based on the three conditions: (1) $X$ values are numerical. (2) $P(x)$ values are between 0 and 1 and. (3) sum of P(x) values is 1 (P(x) = 1). If all three conditions are met, write not applicable (NA) for the second part. (a) x 02 3 4 5 P(x) 0.2 0.24 0.16 0.3 0.2 This table a a probability distribution because it does not...
Consider the following probability distribution: x P(x) 1 0.1 2 ? 3 0.2 4 0.3 What must be the value of P(2) if the distribution is valid? A. 0.6 B. 0.5 C. 0.4 D. 0.2 What is the mean of the probability distribution? A. 2.5 B. 2.7 C. 2.0 D. 2.9
3. The manager of a stockroom in a factory has constructed the following probability distribution for random variable X = the daily demand (number of times used) for a particular tool. x 0 1 2 3 p(x) 0.2 0.4 0.1 0.3 Provide Fx, the cumulative distribution function of X.
2. Consider a random variable with the following probability distribution: P(X=0) = 0.1, P(X=1) = 0.2, P(X=2) = 0.4, and P(X=3) = 0.3 a. Find P(X<=1) b. Find P(1<X<=3)
The random variable X has the probability distribution table shown below. Calculate the standard deviation of X. Show all work as to how you performed your calculations as if you did not have a calculator. (Rounded to two decimal place [6 points) [Hint: First, find E(X)] * 0136 P(X = x) 0.1 0.2 0.3 0.4
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
The random variable x has the following discrete probability distribution. Complete parts a through f Question Help O The random variable x has the following discrete probability distribution. Complete parts a through f. P(x) 622 8 0.4 0.2 9 0.2 0.1 a. List the values x may assume. DODO. (Use ascending order.) b. What value of x is most probable? c. Display the probability distribution as a graph. Choose the correct graph below. OA. OB Oc. OD 071 LUH >...
The random variable X, which represents the number of cherries on a cake, has the following probability distribution: x f(x) 4 0.2 5 0.4 6 0.3 7 0.1 Calculate the probability that the average number of cherries in 36 cakes is less than 5.1 Write the answer with 4 decimals.
х 1 4 5 4. The probability distribution of a random variable X is given below -4 3 P(X=x) 0.1 0.2 0.3 0.2 a) Find E(X) 0.2 b) Find Var(X)
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...