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Sophie [7]
3 years ago
10

A hotel claims that 8585​% of its customers are very satisfied with its service. complete parts a through d below based on a ran

dom sample of sixsix customers.
a. what is the probability that exactly fivefive customers are very​ satisfied?
Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0
We can solve this problem using the binomial distribution. A binomial distribution<span> can be thought of as a success or failure outcome in an experiment or survey that is repeated multiple times. 
</span>Probability function of binomial distribution has the following form:
P= \frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}
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 answer:
P= \frac{6!}{5!(6-5)!} 0.85^5(1-0.85)^{6-5}=0.39
The probability is 39%.
.
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