You randomly choose one hat from 3 green hats, 4 black hats, 2 white hats, 2 red hats, and 1 blue hat. What is the probability o
2 answers:
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Answer:
A. .1070
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent from other customers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Forty-four percent of customers who visit a department store make a purchase.
This means that
What is the probability that in a random sample of 9 customers who will visit this department store, exactly 6 will make a purchase?
This is when n = 9. So
So the correct answer is:
A. .1070