The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. to meet the specification, the resistance must be within the range 100±0.7 ohms. what proportion of gauges is acceptable? round your answer to four decimal places.

0.6827

Step-by-step explanation:

Given : The resistance of a strain gauge is normally distributed .

Population mean :

Standard deviation :

Let x be the random variable that represents the resistance of a strain gauge is normally distributed .

z-score :

To meet the specification, the resistance must be within the range 100±0.7 ohms i.e. (99.3,100.7).

For x = 100.7

For x = 99.3

By using the standard normal distribution table, The proportion of gauges is acceptable is given by:-

Hence, the proportion of gauges is acceptable=0.6827

answer: a

step-by-step explanation:

if xy ~ yz therefore xy would be the same length as yz