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1. Let Z be the z-score for a standard normal distribution. Find the area under the...

1. Let Z be the z-score for a standard normal distribution. Find the area under the curve for Z> -1.58. Keep four decimal places.

2. Suppose the time spent by children in front of the television set per year is normally distributed with a mean of 1500 hours and a standard deviation of 250 hours. What percentage of children spend at least 1300 hours in front of the television. Express your answer to the nearest tenth of a percent without the percentage sign.

3. Suppose the time spent by children in front of the television set each year is normally distributed with a mean of 1500 hours and a standard deviation of 250 hours. If 200 kids are surveyed, what would be the number of children you expect to spend more than 1300 hours in front of the television? Round to the nearest whole number.

4. SAT scores have been known to be normally distributed with mean 1026 and standard deviation 209; i. e. N(1026, 209).  What proportion of these scores are expected to be between 800 and 1200.   Round to four decimal places.

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