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Jharsh2300
01.07.2021 •
Mathematics
A screw manufacturer makes specialized tiny screws that are 15mm long. The manufacturing process does not make every screw exactly 15mm long. The lengths of the screws are normally distributed with mean 15mm and standard deviation 0.04mm. To test for quality control, 36 screws are to be measured. What is the probability that a sample mean is less than 14.99mm?
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Ответ:
The probability that a sample mean is less than 14.99mm=0.066808
Step-by-step explanation:
We are given that
Mean,![\mu=15 mm](/tpl/images/1387/3626/5249f.png)
Standard deviation,![\sigma=0.04 mm](/tpl/images/1387/3626/fe9e5.png)
n=36
We have to find the probability that a sample mean is less than 14.99mm.
We know that
Using the formula
=![1-P(Z\geq -1.5)](/tpl/images/1387/3626/ed3e2.png)
=0.066808
Hence, the probability that a sample mean is less than 14.99mm=0.066808
Ответ:
-2 because 8(-2)-3=-19
8(-2)= -16-3=-19