Question

In: Statistics and Probability

50% of consumers prefer to purchase electronics online. you randomly select eight consumers. find the probability...

50% of consumers prefer to purchase electronics online. you randomly select eight consumers. find the probability that the number of consumers who prefer to purchase electronics online is exactly 5 ,more than five, at most

Expert Solution

Solution:

Probability (P)(for k success in n trials),

Where p is probability of success and n is number of consumers selected randomly

Here, n=8 and p=0.50

P(exactly 5 consumers prefer to purchase online)=

Thus, probability of exactly 5 consumers prefer to purchase electronics online is 0.21875.

P(more than 5 consumers prefer to purchase online)

Thus, probability of more than 5 consumers prefer to purchase electronics online is 0.14453125

P(at most 5 consumers prefer to purchase online)= 1-P(more than 5 consumers prefer to purchase electronics online)

=1-(0.14453125)

=0.85546875.

Thus, probability of at most five consumers prefer to purchase electronics online is 0.85546875.

orchestra answered 1 year ago

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