It is believed that 36% of Americans do not

1

It is believed that 36% of Americans do not get enough sleep at night according to specified criteria. Suppose you randomly select 80 Americans to interview. What is the probability that 20 or less of those interviewed do not get enough sleep at night? Use only a normal approximation to calculate the probability.

Round your answer to the ten-thousands place.

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2

A fair six-sided die will be rolled eighteen times. What is the probability that a six appears two times or less?

Round your answer to the ten-thousands place.

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3

The average weight of a twenty-nine month girl in the United States is approximately normally distributed with mean weight of 13.36 kg with a standard deviation of 0.36 kg. What is the probability that a twenty-nine month girl weighs less than 12.20 kg?

Round answer to the ten-thousands place.

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4

The average weight of a thirty-six month boy in the United States is approximately normally distributed with a mean weight of 13.87 kg and a standard deviation of 0.84 kg.

Suppose that we took a random sample of twenty-five, thirty-six month old boys. What is the probability that the sample average weight is 14.00 kg or more?

Round answer to the ten-thousands place.

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5

It is estimated that 12% of drivers on the road continue to use their cell phones while driving despite laws or warnings that it is a dangerous activity. Assume that the 12% value is correct. Suppose that we took a random sample of 100 drivers on the road. What is the probability that we would see 22 or more drivers using their cell phone?

Round answer to the ten-thousands place.