Set the number of flips per sample to 30, and choose variable 10. Click Reveal P to see the population proportion (it should be 0.65), and choose this as the proposed population proportion. Click Sample so you have numbers to look at. You can ignore the shading on the graph for this question. The possible sample proportions are multiples of 1/30, such as 0/30, 1/30, 2/30, etc. (from observing 0, 1, 2, etc. heads out of 30 trials, with each trial representing a customer or an order). The normal distribution approximates the probability of observing a proportion of 20/30 or higher (20 or more heads) to be 0.5. (The normal approximation calculates this as P(x> 19.5)). a. Use the normal distribution to approximate the probability of observing 21 heads. b. Use your answer to calculate the probability of observing 21 or more heads. a. b. P(x ≥ 20) P(x = 20) P(x221) Appx. Probability 0.5000

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Set the number of flips per sample to 30, and choose variable 10. Click Reveal P to see the population proportion (it should be 0.65),
and choose this as the proposed population proportion. Click Sample so you have numbers to look at. You can ignore the shading on
the graph for this question.
The possible sample proportions are multiples of 1/30, such as 0/30, 1/30, 2/30, etc. (from observing 0, 1, 2, etc. heads out of 30 trials,
with each trial representing a customer or an order).
The normal distribution approximates the probability of observing a proportion of 20/30 or higher (20 or more heads) to be 0.5. (The
normal approximation calculates this as P(x> 19.5)).
a. Use the normal distribution to approximate the probability of observing 21 heads.
b. Use your answer to calculate the probability of observing 21 or more heads.
a.
b.
P(x ≥ 20)
P(x = 20)
P(x 2 21)
Appx. Probability
0.5000
Transcribed Image Text:Set the number of flips per sample to 30, and choose variable 10. Click Reveal P to see the population proportion (it should be 0.65), and choose this as the proposed population proportion. Click Sample so you have numbers to look at. You can ignore the shading on the graph for this question. The possible sample proportions are multiples of 1/30, such as 0/30, 1/30, 2/30, etc. (from observing 0, 1, 2, etc. heads out of 30 trials, with each trial representing a customer or an order). The normal distribution approximates the probability of observing a proportion of 20/30 or higher (20 or more heads) to be 0.5. (The normal approximation calculates this as P(x> 19.5)). a. Use the normal distribution to approximate the probability of observing 21 heads. b. Use your answer to calculate the probability of observing 21 or more heads. a. b. P(x ≥ 20) P(x = 20) P(x 2 21) Appx. Probability 0.5000
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