Probability of Rolling die problem

A fair die is rolled (independently) 12 times.

(a) Let X denote the total number of 1’s in 12 rolls. Find the expected value and variance of X.

(b) Determine the probability of obtaining exactly four 1’s.

(d) Approximate the probability in part (b) using Poisson approximation to binomial distribution. What is the percent relative error of approximation (round the answer off to two decimal places)?

(e) Approximate the probability in part (c) using Poisson approximation to binomial distribution. What is the percent relative error of approximation (round the answer off to two decimal places)?

View Complete Question

Related Questions in Advanced Statistics

Q : MANOVA and Reflection Activity 10:

Activity 10: MANOVA and Reflection 4Comparison of Multiple Outcome Variables This activity introduces you to a very common technique - MANOVA. MANOVA is simply an extension of an ANOVA and allows for the comparison of multiple outcome variables (again, a very common situation in research a

Q : Pearsons correlation coefficient The

The table below illustrates the relationship between two variable X and Y. A

Q : Probability of Rolling die problem A

A fair die is rolled (independently) 12 times. (a) Let X denote the total number of 1’s in 12 rolls. Find the expected value and variance of X. (b) Determine the probability of obtaining e

Q : Probability on expected number of days

It doesn't rain often in Tucson. Yet, when it does, I want to be prepared. I have 2 umbrellas at home and 1 umbrella in my office. Before I leave my house, I check if it is raining. If it is, I take one of the umbrellas with me to work, where I would leave it. When I

Q : Problem on Chebyshevs theorem 1. Prove

1. Prove that the law of iterated expectations for continuous random variables.2. Prove that the bounds in Chebyshev's theorem cannot be improved upon. I.e., provide a distribution which satisfies the bounds exactly for k ≥1, show that it satisfies the

Q : Statistics A nurse practitioner working

A nurse practitioner working in a dermatology clinic is studying the efficacy of tretinoin in treating women’s post partum abdominal stretch marks. From a sample of 15 women, the mean reduction of stretch mark score is -0.33 with a sample standard deviation of 2.46. Describe what happens to the c

Q : Frequency Distributions Define the term

Define the term Frequency Distributions?

Q : Error probability As of last year, only

As of last year, only 20% of the employees in an organization used public transportation to commute to and from work. To determine if a recent campaign encouraging the use of public transportation has been effective, a random sample of 25 employees is to be interviewe

Q : Discrete and continuous data

Distinguish between discrete and continuous data in brief.

Q : Use the law of iterated expectation to

Suppose we have a stick of length L. We break it once at some point X _

Discover Q & A

Leading Solution Library

Avail More Than 1420277 Solved problems, classrooms assignments, textbook's solutions, for quick Downloads

No hassle, Instant Access

Start Discovering

18,76,764

1932645
Asked

3,689

Active Tutors

1420277

Questions
Answered

Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!

Submit Assignment