Question

At noodle & company restaurant, the probability that a customer will order a nonalcoholic beverage is .46. Find the probability that in a sample of 10 customers, none of the 10 will order a nonalcoholic beverage.

Answer 1

0.0021

Explanation:

Given:

Probability of ordering a nonalcoholic beverage is,
`P(N)=0.46`

Number of samples are
`n=10`

Now, the complement of event 'N' is not ordering a nonalcoholic beverage.

Therefore,
`P(\overline N)=1-P(N)=1-0.46=0.54`

Now, for a sample of '10' customers, the probability of not ordering a non alcoholic beverage is product of their individual probabilities as all these events are independent events.

Therefore, probability that none of the 10 will order a nonalcoholic beverage is given as:

`=[P(\overline N)]^(10)\\\\=(0.54)^(10)\\\\=0.0021`