MATH 221 Week 4 DQ Discrete Probability Variables

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, 4.2.25

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