The driving distance to work for residents of a community is has a mean of 21 miles and a standard deviation of 3.6 miles. What is the probability that individual drives between 10 and 20 miles to work?

The lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. ..... a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before days are considered premature. (Round to the nearest integer as needed.)

The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a standard deviation of 171 square feet. For a randomly selected house in Kenton County, what is the probability the house size is over 1158 square feet? z =   probability =

Consumers spend an average of $13.80 on a meal at a restaurant in 2012. (Data extracted from www.alixpartners.com). Assume that the amount spent on a restaurant meal is normally distributed and that the standard deviation is $2.What is the probability that a randomly selected person spent more than $15?What is the probability that a randomly selected person spent between $10 and $12?Between what two values will the middle 95% of the amounts spent fall? *include excel formulas if possible

The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?

The average price for an acre of land is $20,000 with a standard deviation of $2500.  What is the probability that a randomly selected plot of land will sell for more than $23,000?

Legs for a wooden dining room table are produced by a computer numerically controlled (CNC) Iathe. The cutting blade lasts a mean if 550 h with a standard deviation of 20 h. To avoid cutting errors, the shop manager would like to keep the probability of a failure to less than 0.002. How many hours should the blade be used before replacement? Explain.

The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find the probability that the mean of a randomly selected sample of 25 people will be between 110 and 135 gallons.Assume the variable is normally distrubuted

Most graduate schools of business require applicants for admission to take the graduate management admissions council gmat examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 437 on the GMAT?

The average amount customer spend yearly at a local grocery store is $635.55 .  Assume the variable is normally distributed.  If the standard deviation is $94.41 find the probability that a randomly selected  customer spends between $569.46 and $758.28