demigod0701
30.03.2020 •
Mathematics
A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value. Suppose, however, that the setting has changed during the course of production, so that the bearings have normally distributed diameters with mean value .499 in. and standard deviation .002 in. What percentage of the bearings produced will not be acceptable
Solved
Show answers
More tips
- S Sport How to Do a Jumping Split...
- A Animals and plants What Do Terriers Eat?...
- F Food and Cooking Discover the Benefits and Properties of Dates...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
Answers on questions: Mathematics
- M Mathematics Find the equation of the line. Use exact numbers...
- M Mathematics HELP ASAP Solve for x: |x| -8 = -5 Is it A X=-13 and x =-3 B X=3 and x=-3 C X=3 and x= 13 D No solution...
- M Mathematics A water pump fills a swimming pool at a rate of 80 cubic feet per hour. A swimming pool measures 10 feet by 8 feet by 5 feet. How many hours will it take the pump to fill the...
- M Mathematics Is pokemon sun and moon offline game?...
- M Mathematics Solve 2(4/x+8)=18 Side note: 4/X is supposed to be a fraction...
- M Mathematics Find the equation of the line. use exact numbers...
- M Mathematics Im sooo boreddddddddd...
- M Mathematics What means ratio with explanation...
- M Mathematics To Cool Auto pays commission based on the profit they make from the vehicle. They pay 21% when profit is less then $1000, They pay 22,5% when profit is between $1000 and $1200....
- M Mathematics If you save 1 paisa the today ,2 paisa the next day,4 paisa the succeeding day and so on. The total saving in two weeks will be in Rs. a.163b.183c.162.83d. 164.85...
Ответ:
7.3% of the bearings produced will not be acceptable
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.
So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.
Larger than 0.504
1 subtracted by the pvalue of Z when X = 0.504.
has a pvalue of 0.9938
1 - 0.9938= 0.0062
Smaller than 0.496
pvalue of Z when X = -1.5
has a pvalue of 0.0668
0.0668 + 0.0062 = 0.073
7.3% of the bearings produced will not be acceptable
Ответ:
5x4x2
Step-by-step explanation: