Question

1. Find P{X = x} for x = 0, 1, 2, 3, 4, 5 for a...

1. Find P{X = x} for x = 0, 1, 2, 3, 4, 5 for a Bin(5, 3/7) random variable.

2. Find the first and third quartiles as well as the median for a Beta(3, 3) random variables.

3. Find P{X ≤ x} for x = 0, 1, 2, 3 for a χ 2 2 random variable.

4. Simulate 80 Pois(5) random variable. Find the mean and variance of these simulated values.

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Answer #1

dear student please post the question one at a time

1) the distribution provided here is Binomial with probability of success

total number of trials: n=5

Now we have to find the probability when the number of success x= 0,1, 2, 3, 4, 5

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