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According to Nielsen Media Research, 30% of televisions are tuned to NFL Monday Night Football when televised. Assuming 15 televisions are randomly selected, determine the probability that from 5 to 10 (both inclusive) out of 15 televisions are tuned to NFL Monday Night Football.

User Kltft
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Final answer:

To determine the probability that from 5 to 10 out of 15 televisions are tuned to NFL Monday Night Football, we can use the binomial probability formula.

Step-by-step explanation:

To determine the probability that from 5 to 10 (both inclusive) out of 15 televisions are tuned to NFL Monday Night Football, we can use the binomial probability formula. The formula is P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n is the number of trials (15), k is the number of successes (5, 6, 7, 8, 9, or 10), and p is the probability of success (0.3).

To find the probability, we calculate the probability for each value of k and sum them up. P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

Using a calculator or a statistical software, we can find that the probability is approximately 0.325.

User Tirdadc
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