Smart TVs have seen success in the U.S. market. During the 2nd quarter of 2015 45% of TVs sold in the United States were Smart TVs. That's an in-
crease of 11% from 2014. Choose three households and
find the probability that

a. None of the 3 households had a Smart TV
b. All 3 households had a Smart TV
c. At least 1 of the 3 households had a Smart TV

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anguianoad anguianoad · Answer 1 · 2021-03-10T06:10:41+01:00

Answer:

Step-by-step explanation:

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fichoh fichoh · Answer 2 · 2021-10-07T12:20:24+02:00

The probability of the event listed in the question are calculated as follows :

The probability of having a smart TV ; P(smart) = 0.45

1.) Probability that none of the 3 households have a smart TV:

P(Smart) = 0.45

P(no smart) = 1 - P(smart) = 1 - 0.45 = 0.55

P(None) = P(no smart) × P(no smart) × P(no smart)

P(None) = 0.55 × 0.55 × 0.55 = 0.166375

2.) Probability that all 3 have Smart TVs :

P(All 3 have smart TVs) = P(smart) × P(smart) × P(smart)

P(All 3 have smart TVs) = 0.45 × 0.45 × 0.45 = 0.091125

3.) Atleast one of the 3 had a smart TV :

P(atleast 1 smart TV) = 1 - P(None)

P(atleast 1 smart TV) = 1 - 0.166375 = 0.833625

Therefore, the probability that atleast one of the 3 households has a smart TV is 0.833625

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