View the step-by-step solution to:

. Formulas, rules and calculations required. Part II: Discrete Variables and their Distributions, (Read Hints below) 3. A certain disease has an

Formulas, rules and calculations required.



Part II: Discrete Variables and their Distributions,
(Read Hints below)

3. A certain disease has an infection rate 1/5 in a rural area of 40 people. A sample of size 10 is taken at random without replacement. Let X be the number of infected people in the sample.
(1) What is the distribution of X? Give the name of the distribution and values of the parameters;
(2) List all the possible values of X;
(3) Find the probability that exactly 2 individuals in the sample are infected by the disease;
(4) Compute the mean and variance 2 of X using the formulas for this distribution;
(5) Explain the formula for ;
(6) Interpret the probability you calculated in (3).

4. Of all airline flight requests received by a certain discount ticket broker, 10% are for international travels and 90% are for domestic flights. Let X be the number of international flight requests of the next 20 customers. Assuming independence of successive requests, answer the following questions.
(1) What is the distribution of X? Give the name of the distribution and values of the parameters;
(2) List all the possible values of X;
(3) Compute the probability that P(X 5);
(4) Compute the mean and variance of X (using formulas).
(5) Interpret the mean you computed in (4).
(6) Compute the probability in (3) using Poisson approximation (ignore the condition np < 5 or nq < 5).


About Binomial and HyperGeometric Distributions:
If trials are independent (or approximately independent), the resulting distribution is Binomial; otherwise, it is HyperGeometric.

For HyperGeometric distribution, the formulas for the mean and variance are


. Formulas, rules and calculations required. Part II: Discrete Variables and their Distributions, (Read Hints below) 3. A certain disease has an infection rate 1/5 in a rural area of 40 people. A sample of size 10 is taken at random without replacement. Let X be the number of infected people in the sample. (1) What is the distribution of X? Give the name of the distribution and values of the parameters; (2) List all the possible values of X; (3) Find the probability that exactly 2 individuals in the sample are infected by the disease; (4) Compute the mean and variance 2 of X using the formulas for this distribution; (5) Explain the formula for ; (6) Interpret the probability you calculated in (3). 4. Of all airline flight requests received by a certain discount ticket broker, 10% are for international travels and 90% are for domestic flights. Let X be the number of international flight requests of the next 20 customers. Assuming independence of successive requests, answer the following questions. (1) What is the distribution of X? Give the name of the distribution and values of the parameters; (2) List all the possible values of X; (3) Compute the probability that P(X 5); (4) Compute the mean and variance of X (using formulas). (5) Interpret the mean you computed in (4). (6) Compute the probability in (3) using Poisson approximation (ignore the condition np < 5 or nq < 5). About Binomial and HyperGeometric Distributions: If trials are independent (or approximately independent), the resulting distribution is Binomial; otherwise, it is HyperGeometric. For HyperGeometric distribution, the formulas for the mean and variance are
Background image of page 1

Top Answer

Dear Student,... View the full answer

CH290310_6956_STATS.doc

Sol:- CH290310_6956_STATS
Part II: Discrete Variables and their Distributions,
(Read Hints below)
3. A certain disease has an infection rate 1/5 in a rural area of 40 people. A sample of size
10 is...

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online