MATH 221 Week 4 DQ Discrete Probability Variables

In this file of MATH 221 Week 4 DQ Discrete Probability Variables there are answers on:

What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution? When might you use a geometric probability?

PLEASE COMPLETE THE LAB THIS WEEK

Here are a few questions that you can participate for discussion points from your study plan on correlation and regression that may help you toward understanding concepts and the quiz for Week 5. Please work on only one question at a time. Answers are posted at the end.

OBJECTIVE: IS THE EXPERIMENT A BINOMIAL EXPERIMENT?

1. About 40% of babies born with a certain ailment recover fully. A hospital is caring for seven babies with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment? If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.

STUDY PLAN: 4.2.9, 4.2.11

OBJECTIVE: Find the MEAN, VARIANCE AND STANDARD DEVIATION OF THE binomial distribution

2. Find the mean, variance and standard deviation of the binomial distribution n= 123, p= 0.69

STUDY PLAN: 4.2.15

OBJECTIVE: FIND BINOMIAL PROBABILITIES USING TECHNOLOGY

3. 47% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is

a. Exactly eight

b. At least eight

c. Less than eight

STUDY PLAN: 4.2.19, 4.2.21, 4.2.23, 4.2.2

OBJECTIVE: FIND PROBABILITIES FOR POISSON DISTRIBUTION USING technology

4. Given that x has a Poisson distribution with mean mu= 4, what is the probability that x= 6?

STUDY PLAN: 4.3.5