Answer:
0.0021
Step-by-step explanation:
Given:
Probability of ordering a nonalcoholic beverage is, [tex]P(N)=0.46[/tex]
Number of samples are [tex]n=10[/tex]
Now, the complement of event 'N' is not ordering a nonalcoholic beverage.
Therefore, [tex]P(\overline N)=1-P(N)=1-0.46=0.54[/tex]
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:
[tex]=[P(\overline N)]^{10}\\\\=(0.54)^{10}\\\\=0.0021[/tex]
