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dimaraw [331]
3 years ago
14

If Aaron tunes into his favorite radio station at a randomly selected time, there is a 0.20 probability that a commercial will b

e playing.
b. If Aaron tunes into this station at 5 randomly selected times, will there be exactly one time when a commercial is playing?
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

Yes, there will be with a probability of 0.4096

Step-by-step explanation:

Given,

p = 0.2

1 - p = 0.8

Number of trials, n = 5

P(x = 1)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 1) = 5C1 * 0.2^1 * 0.8^4

P(x = 1) = 5 * 0.2^1 * 0.8^4

P(x = 1) = 0.4096

Yes, there will be with a probability of 0.4096

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