A brand name has aa 60% recognition rate. Assume the owner of the brand wants to

Question

A brand name has aa 60% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 77 randomly selected consumers. Complete parts (a) through (d) below.

A. ) What is the probability that exactly 6 of the selected consumers recognize the brand name? The probability that exactly 6 of the 7 consumers recognize the brand name is = .131

B.) What is the probability that all of the selected consumers recognize the brand name?

The probability that all of the selected consumers recognize the brand name is__________

Please answer B and explain how you got the answer.

Explanation / Answer

P(a customer recognizing the brand name) = 0.6

A) P(6 customers recognize the brand name) = 7C6x0.66x0.4 = 0.131

B) P(all cusomers recognize the brand name = 0.67 = 0.028

[Probability of an event with individual probability,p repeating n times = pn]

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