Question: Let X Poisson() where = 100. Consider the probability p = P(X115). Suppose we are interested in finding an upper bound on p. That is,

Let X Poisson() where = 100. Consider the probability p = P(X115).

Suppose we are interested in finding an upper bound on p. That is, we'd like to find a number b such that p b.

(a) Find an upper bound using Markov's inequality.

(b) Find an upper bound using Chebyshev's inequality.

(c) Find an approximate value of p using the central limit theorem.

(d) The true value of p is about 0.063. Which value from (a),(b),(c) is the closest?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

\fCHAPTER 14 Server Farms: M/M/k and M/M/k/k In today's high-volume world, almost no websites, compute centers, or call centers consist of just a single server. Instead a \"server farm\" is used. The...

Q:

below are my questions..its compl,ete question11 1. Ann is ambiguity-averse and has constant absolute risk aversion a. There is a stock that pays y per unit where y ~ N (u, s') where u e [u, p] is...

Q:

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

Q:

Suppose the city council hires you to analyze citizens' satisfaction rate of a policy. You decide to conduct a survey which asks the citizens how they feel about the policy. The survey is coded into...

Q:

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Q:

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Q:

Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document...

Q:

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

Q:

CS 70 Discrete Mathematics and Probability Theory Fall 2015 Jean Walrand HW 13 1. Statistical hypothesis testing On one of the Mythbusters episodes1 , the Mythbusters decided to run an experiment to...

Q:

A result called Chebyshev's inequality states that for any probability distribution of an rv X and any number k that is at least 1, P( | X - p | k o) s 1/k . In words, the probability that the value...

Q:

For Tom Tucker's Toffee in problem 4, draw a saw tooth diagram similar to the one in Figure 11.3. Assume that the beginning inventory level is equal to the restocking level and that the demand rate...

Q:

You have a marketing team and your team is one of the finalists of the annual investment conference. In this conference, wealthy business people and investors would like to choose their desired...

Q:

On 1 August 2 0 2 4 the company signed a contract to supply Edgars Ltd a variety of bags to the value of R 6 8 0 , 0 0 0 equally over the next 6 months ( on the last day of every month ) . The full...

Q:

Required information [The following information applies to the questions displayed below.] Cool Sky reports the following for its first year of operations. The company produced 44,000 units and sold...