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Normal distribution with standard deviation of five percent

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Please explain in detail the following: On average, 28 percent of 18 to 34 year olds check Facebook profiles before getting out of bed in the morning. Suppose this percentage follows normal distribution with a standard deviation of five percent.

a. What would the probability that the percent of 18 to 34 year old who check Facebook before getting out of bed in the morning is at least 30.

b. What would 95th percentile be.

Also what is not true about the distribution of averages:

a. The mean, median, and mode are equal.

b. The area under the curve is one.

c. The curve never touches the x-axis.

d. The curve is skewed to the right.

Please explain what a distribution of averages is.

Reference no: EM131942074

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