Question

The lengths of the rods from a new cutting machine can be said to approximate a...

The lengths of the rods from a new cutting machine can be said to approximate a normal distribution with a mean of 10 meters and a standard deviation of 2 meters. Find the probability that a rod selected will have a length: a) of less than 10.0 meters, b) between 10.1 and 10.4 meters, c) greater than 9.9 meters

What should be the length of a rod such that the chance of producing rods longer than it is 2.5%

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A company manufactures a large number of rods. The lengths of the rods are normally distributed...
A company manufactures a large number of rods. The lengths of the rods are normally distributed with a mean length of 4.4 inches and a standard deviation of .5 inches. If you choose a rod at random, what is the probability that the rod you chose will be: a) Less than 4.5 inches? b) Greater than 4.0 inches? c) Between 3.8 inches and 4.7 inches?
A factory manufactures alloy rods for construction companies. The lengths of rods are uniformly distributed with...
A factory manufactures alloy rods for construction companies. The lengths of rods are uniformly distributed with minimum of 96 and maximum of 104 cm. Find the 80th percentile of the length of the rods. Find the probability a rod is less than 101.4 cm long. Find the probability a rod is more than 102.5 cm long. Given that the rod is more than 101 cm, find the probability it is longer than 99 cm. Given that the rod is more...
A factory manufactures alloy rods for construction companies. The lengths of rods are uniformly distributed with...
A factory manufactures alloy rods for construction companies. The lengths of rods are uniformly distributed with minimum of 90 and maximum of 110 cm. A. Find the 80th percentile of the length of the rods. B. Find the probability a rod is less than 101.4 cm long. C. Find the probability a rod is more than 102.5 cm long. D. Given that the rod is more than 101 cm, find the probability it is longer than 99 cm. E. Given...
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 180.6-cm and a standard deviation of 1-cm. For shipment, 11 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...
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 214.4-cm and a standard deviation of 0.6-cm. For shipment, 14 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 214.2-cm and 214.3-cm. For 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 269.4-cm and a standard deviation of 1.4-cm. For shipment, 37 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 269.3-cm and 269.4-cm. For 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 209.5-cm and a standard deviation of 1.1-cm. For shipment, 44 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...
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 98.8 cm and a standard deviation of 2.5 cm. For shipment, 22 steel rods are bundled together. Note: Even though our sample size is less than 30, we can use the z score because 1) The population is normally distributed and 2) We know the population standard deviation, sigma. Find the probability that the average length of a randomly selected bundle of...
1) A company produces steel rods. The lengths of the steel rods are normally distributed with...
1) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 183.4-cm and a standard deviation of 1.3-cm. Find the probability that the length of a randomly selected steel rod is between 179.9-cm and 180.3-cm. P(179.9<x<180.3)=P(179.9<x<180.3)= 2) A manufacturer knows that their items have a normally distributed length, with a mean of 6.3 inches, and standard deviation of 0.6 inches. If 9 items are chosen at random, what is the probability that...
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 91.1-cm and a standard deviation of 0.5-cm. For shipment, 25 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 90.8-cm. P(M > 90.8-cm) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT