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

Answer:

0.0021

Step-by-step 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:

$=[P(\overline N)]^{10}\\\\=(0.54)^{10}\\\\=0.0021$