# math

posted by .

The mean amount spent by a family of four on food per month is \$550 with a standard deviation of \$85. Assuming that the food costs are normally distributed, what is the probability that a family spends less than \$410 per month?

• math -

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion that relates to your Z score.

## Similar Questions

1. ### Statistics

A study was conducted to estimate the mean amount spent on Christmas gifts for a typical family having two children. A sample of size 150 was taken, and the mean amount spent was \$225. Assuming a standard deviation equal to \$50, find …
2. ### Statistics

The mean amount spent by a family on food per month is \$500 with a standard deviation of \$75. Assuming that the food costs are normally distributed, what is the probability that a family spends more than \$410 per month?
3. ### statistics

The 92 million Americans of age 50 and over control 50% of all discretionary income (AARP Bulletin, March 2008). AARP estimated that the average annual expenditure on restaurants and carry out food was \$1873 for individuals in this …
4. ### statistics

1. The on-campus housing costs for a semester at a state university are Normally distributed with a mean of \$1553 and a standard deviation of \$329. (a) What is the distribution of the mean on-campus housing cost for a semester at this …
5. ### Statistics

The actual weights of bag of pet food are normally distributed.The mean of the weights is 50.0 lb,with a standard deviation of 0.2 lb. A)About what percent of bags of pet food weigh less than 49.8 lb?
6. ### Math

The amount of money Kylie spends on food to the amount she spends on gas per week is 7:4. She spends \$45 more on food than gas. How much does she spend on food?
7. ### stats

The amount that airlines speed on food per passenger is normally distributed with means \$8.00 and standard deviation \$2.00. What is the probability that a randomly selected airline spends more than \$12.50?
8. ### statistics

The amount that airlines speed on food per passenger is normally distributed with means \$8.00 and standard deviation \$2.00. What is the probability that a randomly selected airline spends more than \$12.50?
9. ### stats.

The amount that airlines spend on food per passenger is normally distributed with mean \$8.00 and standard deviation \$2.00. What is the probability that a randomly selected airline spends more than \$12.50.
10. ### Math- Prob Stat

The amount of time a student spends completing homework per week their senior year is normally distributed with a mean of 5 hours and a standard deviation of 1.4 A. Find the probability a randomly selected student spends less than …

More Similar Questions