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MATH 221 Week 4 DQ Discrete Probability Variables

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Author: Minh Reed
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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

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