Abrand name has a 50% recognition rate. assume the owner of the brand wants to verify that rate by beginning with a small sample of 7 randomly selected consumers.
a) what is the probability that exactly 6 of the selected consumers recognize the brand name is (round to 3 decimal places)
b) what is the probabilty that all the selected consumers recognize the brand
c) what is the probability that 3 of the selected consumers recognize the brand
d) if 4 consumers are randomly selected is 3 an unusually high number of consumers that recognize the brand name

0.0547,0.0078,0.25

Step-by-step explanation:

Any random customer selected probability to recognize = 50% = 0.50 which remains the same for each customer.  Also there are only two outcomes.  Hence X the no of customers who recognize brand name is Binomial

X is Bin (7,0.50)

a)

b)

c)

d) Here n changes from 7 to 4.  But p probability for success remains the same.

Hence

This probability is not unusually high.

If 4 consumers are randomly selected is 3 an unusually high number of consumers that recognize the brand name is 0.25

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step-by-step explanation:

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.