Acompany produces steel rods. the lengths of the steel rods are normally distributed with a mean of 92.6-cm and a standard deviation of 2-cm. for shipment, 12 steel rods are bundled together. find the probability that the average length of a randomly selected bundle of steel rods is between 92-cm and 92.4-cm. enter your answer as a number accurate to 4 decimal places.

0.2140

Step-by-step explanation:

Given : A company produces steel rods. The lengths of the steel rods are normally distributed with

Sample size :

Let x be the length of randomly selected item.

z-score :

For x=92 cm

For x=92.4 cm

The probability that the average length of a randomly selected bundle of steel rods is between 92-cm and 92.4-cm by using the standard normal distribution table

=

Hence, the probability that the average length of a randomly selected bundle of steel rods is between 92-cm and 92.4-cm is 0.2140.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^