Consumer data shows that 96% of households buy bananas at least once a month. We select a random sample of 125 households and let X = the number of those households that buy bananas at least once a month. If appropriate, use a normal approximation to calculate the probability P(100 < X < 125). Interpret this probability. Approximately 0 There is approximately 0 probability that between 100 and 125 of the randomly selected households buy bananas at least once a month. 0.9888 There is a 0.9888 probability that between 100 and 125 of the randomly selected households buy bananas at least once a month. 0.8055 There is a 0.8055 probability that between 100 and 125 of the randomly selected households buy bananas at least once a month. It is not appropriate to calculate this probability because the conditions are not met to assume that the sampling distribution can be modeled by a normal distribution. 0.8512 There is a 0.8512 probability that between 100 and 125 of the randomly selected households buy bananas at least once a month.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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Consumer data shows that 96% of households buy bananas at least once a month. We select a random sample of 125 households
and let X = the number of those households that buy bananas at least once a month.
If appropriate, use a normal approximation to calculate the probability P(100 < X < 125). Interpret this probability.
Approximately 0 There is approximately 0 probability that between 100 and 125 of the randomly selected households
buy bananas at least once a month.
0.9888 There is a 0.9888 probability that between 100 and 125 of the randomly selected households buy bananas at
least once a month.
0.8055 There is a 0.8055 probability that between 100 and 125 of the randomly selected households buy bananas at
least once a month.
It is not appropriate to calculate this probability because the conditions are not met to assume that the sampling
distribution can be modeled by a normal distribution.
0.8512 There is a 0.8512 probability that between 100 and 125 of the randomly selected households buy bananas at
least once a month.
Transcribed Image Text:Consumer data shows that 96% of households buy bananas at least once a month. We select a random sample of 125 households and let X = the number of those households that buy bananas at least once a month. If appropriate, use a normal approximation to calculate the probability P(100 < X < 125). Interpret this probability. Approximately 0 There is approximately 0 probability that between 100 and 125 of the randomly selected households buy bananas at least once a month. 0.9888 There is a 0.9888 probability that between 100 and 125 of the randomly selected households buy bananas at least once a month. 0.8055 There is a 0.8055 probability that between 100 and 125 of the randomly selected households buy bananas at least once a month. It is not appropriate to calculate this probability because the conditions are not met to assume that the sampling distribution can be modeled by a normal distribution. 0.8512 There is a 0.8512 probability that between 100 and 125 of the randomly selected households buy bananas at least once a month.
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