A company manufactures rods whose diameters are normally distributed with a mean of 5 mm and...

A company manufactures rods whose diameters are normally distributed with a mean of 5 mm and a standard deviation of 0.05 mm. It also drills holes to receive the rods and the diameters of these holes are normally distributed with a mean of 5.2 mm and a standard deviation of 0.07 mm. The rods are allocated to the holes at random. What proportion of rods will fit into the holes?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

precision manufacturing: a process manufactures ball bearings with diameters that are normally distributed with mean 25.0...

precision manufacturing: a process manufactures ball bearings with diameters that are normally distributed with mean 25.0 millimeters and standard deviation 0.07 millimeter. (a) find the 60th percentile of the diameters. (b) find the 67th percentile of the diameters. (c) a hole is to be designed so that 2% of the ball bearings will fit through it. the bearings that fit through the hole will be melted down and remade. what should the diameter of the hole be? (d)between what 2...

The thickness of a type of veneer is approximately normally distributed with mean 5 mm and...

The thickness of a type of veneer is approximately normally distributed with mean 5 mm and standard deviation 0.2 mm. a) What is the probability the thickness of a randomly selected piece is between 4.7 and 5.25 mm? b) What is the probability the thickness of a randomly selected piece is greater than 5.3 mm? c) What thickness is the 45th percentile (45% of the thicknesses are less than that value)? d) What thicknesses constitute the middle 80% of the...

The diameters of bolts produced in a machine shop are normally distributed with a mean of...

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.34 millimeters and a standard deviation of 0.03 millimeters. Find the two diameters that separate the top 8% and the bottom 8%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary

The diameters of bolts produced in a machine shop are normally distributed with a mean of...

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.58 millimeters and a standard deviation of 0.04 millimeters. Find the two diameters that separate the top 5%and the bottom 5%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary. Answer TablesKeypad If you would like to look up the value in a table, select the table you want to...

The diameters of bolts produced in a machine shop are normally distributed with a mean of...

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.67 millimeters and a standard deviation of 0.03 millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.

The diameters of bolts produced in a machine shop are normally distributed with a mean of...

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 3% and the bottom 3%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.

A. A company produces steel rods. The lengths of the steel rods are normally distributed with...

A. A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 162.4-cm and a standard deviation of 0.6-cm. For shipment, 16 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 162.6-cm. P(¯xx¯ < 162.6-cm) = B. A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 246.8-cm and a standard...

A company produces steel rods. The lengths of the steel rods are normally distributed with a...

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 167.1-cm and a standard deviation of 0.6-cm. For shipment, 6 steel rods are bundled together. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N( , ) What is the distribution of ¯xx¯? ¯xx¯ ~ N( , ) For a single randomly selected steel rod, find the probability that the length is between 166.9-cm...

A company produces steel rods. The lengths of the steel rods are normally distributed with a...

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 195.2-cm and a standard deviation of 0.8-cm. For shipment, 22 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 195.1-cm. P(M < 195.1-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are...

A company produces steel rods. The lengths of the steel rods are normally distributed with a...

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 143.6-cm and a standard deviation of 0.8-cm. For shipment, 41 steel rods are bundled together. Round all answers to four decimal places if necessary. What is the distribution of X ? X ~ N(,) What is the distribution of ¯x ? ¯x ~ N(,) For a single randomly selected steel rod, find the probability that the length is between 143.4-cm and 143.5-cm....

Subjects