 Mathematics
Homework: Probability Question

### Question Description

I’m studying for my Statistics class and need an explanation.

15% of the people in a population have been exposed to a new strain of the flu. We randomly sample three people from this population (assume these three people are independent).  Find the probability that: all, at least 1, and 2 were exposed. Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service. The probability of an event is the measure of the chance that the event will occur as a result of an experiment. The probability of an event A is the number of ways event A can occur divided by the total number of possible outcomes.

Probability of an event happening = Number of ways it can happen / Total number of outcomes

so now for the working

sample size = 3

probability that all are exposed= Number of ways it can happen / Total number of outcomes

probability that all are exposed= 3/3=1 ans

probability that 1 is exposed= Number of ways it can happen / Total number of outcomes

probability that all are exposed= 1/3= .33 or 33%ans

probability that 2 are exposed= Number of ways it can happen / Total number of outcomes

probability that all are exposed= 2/3= .66 or 66%ans New York University Anonymous
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