# Question

Let X be a Poisson random variable with mean 20.

(a) Use the Markov inequality to obtain an upper bound on

p = P{X ≥ 26}

(b) Use the one-sided Chebyshev inequality to obtain an upper bound on p.

(c) Approximate p by making use of the central limit theorem.

(d) Determine p by running an appropriate program.

(a) Use the Markov inequality to obtain an upper bound on

p = P{X ≥ 26}

(b) Use the one-sided Chebyshev inequality to obtain an upper bound on p.

(c) Approximate p by making use of the central limit theorem.

(d) Determine p by running an appropriate program.

## Answer to relevant Questions

In Problem 21, how many different paths are there from A to B that go through the point circled in the following lattice? Problem 21 Consider the grid of points shown at the top of the next column. Suppose that, starting at ...Use the central limit theorem to solve part (c) of Problem 2. Part (c) of Problem 2 How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of ...In Problem 7, suppose that it takes a random time, uniformly distributed over (0, .5), to replace a failed bulb. Approximate the probability that all bulbs have failed by time 550. Problem 7 A person has 100 light bulbs ...This problem refers to Example 2f. (a) For any given molecule, what do you think is the (limiting) probability that it is in urn 1? (b) Do you think that the events that molecule j, j ≥ 1, is in urn 1 at a very large time ...Give a technique for simulating a random variable having the probability density functionPost your question

0