Use the table to answer each question. *Note:* Round *z*-scores to the nearest hundredth and then find the required *A* values using the table.

The breaking point of a particular type of rope is normally distributed, with a mean of 360 pounds and a standard deviation of 24 pounds. What is the probability that a piece of this rope chosen at random will have the following breaking points? (Round your answers to three decimal places.)

(a) less than 330 pounds

(b) between 350 and 380 pounds

Use the table to answer each question. *Note:* Round *z*-scores to the nearest hundredth and then find the required *A* values using the table.

The weights of all the boxes of corn flakes filled by a machine are normally distributed, with a mean weight of 14.5 ounces and a standard deviation of 0.4 ounce. What percent of the boxes will have the following weights? (Round your answers to one decimal place.)

(a) weigh less than 14 ounces

%

%

(b) weigh between 13.5 ounces and 15.5 ounces

%

Use the table to answer each question. *Note:* Round *z*-scores to the nearest hundredth and then find the required *A* values using the table.

The amount of time customers spend waiting in line at a bank is normally distributed, with a mean of 4.5 minutes and a standard deviation of 0.75 minute. Find the probability that the time a customer spends waiting is as follows. (Round your answers to three decimal places.)

(a) less than 5 minutes

(b) less than 3 minutes

*Note:* Round *z*-scores to the nearest hundredth and then find the required *A* values using the table.

The breaking point of a particular type of rope is normally distributed, with a mean of 380 pounds and a standard deviation of 24 pounds. What is the probability that a piece of this rope chosen at random will have the following breaking points? (Round your answers to three decimal places.)

(a) less than 350 pounds

(b) between 370 and 400 pounds

*Note:* Round *z*-scores to the nearest hundredth and then find the required *A* values using the table.

The amount of time customers spend waiting in line at a bank is normally distributed, with a mean of 3.5 minutes and a standard deviation of 0.75 minute. Find the probability that the time a customer spends waiting is as follows. (Round your answers to three decimal places.)

(a) less than 4 minutes

(b) less than 2 minutes

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