Please show all work, it is required. Thank you.

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1. A weighted average coin lands "H"s 80% of the time. The coin is flipped 20 times. What is the probability of observing fewer than 19 "H"s?

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2. A sharpshooter typically hits the center of the target 80% of the time. Calculate the probability that at least 70 of the next 90 shots hit the center target.

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3. Given the sample mean of a data set is 169.64 (assume the data is normal). Construct an 80% confidence interval for the population mean (assume sigma is known to be 54.6). There are 36 data points in the sample.

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4. Assume 5% of a certain population have body art.

a. Calculate the expected value E(x)

b. What is the probability that the first person you observe to have body art is the third person you meet?

c. What is the probability that the first person you observe to have body art is among the first 3 persons you meet?

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5. What is the probability that you don't observe any body art until the 12th person you meet?

Subject | Mathematics |

Due By (Pacific Time) | 12/17/2014 01:00 pm |

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