Question

A component is classed as defective if it has a diameter of less than 50mm. In...

  1. A component is classed as defective if it has a diameter of less than 50mm. In a batch of 400 components, the mean diameter is 52mm and the standard deviation is 1.8mm. Assuming the diameters are normally distributed, determine how many are likely to be classed as defective.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer:

Given that:

A component is classed as defective if it has a diameter of less than 50mm . in a batch components, the mean diameter is 52mm and the standard deviation is 1.8 mm.

Where X = 50

  

  

  

Corresponding probability = P(Z=-1.111) = 0.133284

Number of components that are defection = 400*0.1332

= 53.3136 54

Number of defection components = 54

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The lifetimes of a certain electronic component are known to be normally distributed with a mean...
The lifetimes of a certain electronic component are known to be normally distributed with a mean of 1,400 hours and a standard deviation of 600 hours. For a random sample of 25 components, find the probability that the sample mean is less than 1300 hours. A 0.2033 B 0.8213 C 0.1487 D 0.5013
The diameters of ball bearings are known to be normally distributed with mean 6.15 cm standard...
The diameters of ball bearings are known to be normally distributed with mean 6.15 cm standard deviation 0.72 cm. Find the probability that a randomly selected ball bearing has a diameter less than 6.25 cm. Find the probability that a randomly selected ball bearing has a diameter greater than 6.50 cm. Find the diameters a and b such that the middle 80% of ball bearing diameters are between a and b.
The diameters of ball bearings are distributed normally. The mean diameter is 125 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 125 millimeters and the standard deviation is 3 millimeters. Find the probability that the diameter of a selected bearing is greater than 127 millimeters. Round your answer to four decimal places.
The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters. Find the probability that the diameter of a selected bearing is greater than 111 millimeters. Round your answer to four decimal places
The diameters of ball bearings are distributed normally. The mean diameter is 120120 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 120120 millimeters and the standard deviation is 44 millimeters. Find the probability that the diameter of a selected bearing is greater than 125125 millimeters. Round your answer to four decimal places.
The diameters of ball bearings are distributed normally. The mean diameter is 120 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 120 millimeters and the standard deviation is 4 millimeters. Find the probability that the diameter of a selected bearing is greater than 125 millimeters. Round your answer to four decimal places.
The basal area of a tree is a conceptual measure. The diameter of a tree is...
The basal area of a tree is a conceptual measure. The diameter of a tree is measured at breast height (4.5 feet above ground) and assumed to be the diameter of a circle. The area of this circle is the basal area (BA) of the tree. Assuming that the diameters have a standard deviation of 2 inches and are normal distributed (which typically they do not), how many samples are required to keep the sample mean diameter within 1 inch...
The diameter of hail hitting the ground during a storm is normally distributed with a mean...
The diameter of hail hitting the ground during a storm is normally distributed with a mean of 0.5 inch and a standard deviation of 0.1 inch. (a) What is the probability that a hailstone picked up at random will have a diameter greater than .71 inch? (b) What is the probability that two hailstones picked up in a row will have diameters greater than .6 inch? (Assume independence of the two diameters.) (c) By the end of the storm, what...
A manufacturer claims that the mass of an electronic component he produces is 2g with a...
A manufacturer claims that the mass of an electronic component he produces is 2g with a standard deviation of 0.1g. He takes a sample of 50 components and finds that the mean mass is found to be 2.04g. Assuming that the mass is normally distributed, test the hypothesis that the mean mass is 2g at the 2% level of significance.
In a grocery store 4% of products cost less than $1.00. Assuming prices are normally distributed...
In a grocery store 4% of products cost less than $1.00. Assuming prices are normally distributed and the standard deviation of prices is σ = $3.00 then what is the mean?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT