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A binomial experiment has a fixed number of independent trials and only two possible outcomes.
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Question

A binomial experiment has a fixed number of independent trials and

only two possible outcomes. Recall that the binomial distribution with parameters n, p, and r gives the probability distribution of the number of r successes in a sequence of n trials, each of which yields success with probability p.


Since there are 5 women having coffee together, the number of trials is fixed at 5. Whether or not one woman likes her mother-in-law will not influence whether or not another woman does, so the trials are  
---Select---
 
independent
 
dependent
 . Finally, there are two possible outcomes: that a woman likes her mother-in-law, or she doesn't. So, this scenario is a binomial experiment with n = 5 trials.


Here we will let a "success" be a woman disliking her mother-in-law. We are given that the probability that a woman does not like her mother-in-law is 90%, so p =.....  .


We are interested in the probability that all five women dislike their mother-in-law. Therefore, we want to find the probability of five successes, or P(r =.....) .

Step-by-step answer

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