Ahotel claims that 8585% of its customers are very satisfied with its service. complete parts a through d below based on a random sample of sixsix customers. a. what is the probability that exactly fivefive customers are very satisfied?

We can solve this problem using the binomial distribution. A binomial distribution can be thought of as a success or failure outcome in an experiment or survey that is repeated multiple times. 
Probability function of binomial distribution has the following form:

p represents the probability of each choice we want. k is the number of choices we want and n is the total number of choices.
In our case p=0.85, k=5 and n=6. 
We can now calculate the

The probability is 39%.
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