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3. The mean amount spent by a family of four on food is $500 per month...

3. The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assume that the food costs are normally distributed. • What is the probability that a family spends less than $410 per month? • What is the percentage of families that spend $400 to $600 per month?

Math   Statistics-And-Probability   
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Answer #1

Let Y be the amount spend by the family of four on food. So,

The probability that a family spends less than $410 per month is calculated by using the z-table as,

Therefore, the required probability is 0.1151.

The probability that a family spends $400 to $600 per month is calculated by using the z-table as,

  

Hence, the percentage of families that spend $400 to $600 per month is 81.64%.

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