The car contains 50,000 rods. claude ong, manager of quality assurance, directs his crew measure the lengths of 100 randomly selected rods. if the population of rods have a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that claude's sample has a mean less than 119.985 inches is
a) 0.9974
b) 0.0026
c) 0.4987
d) 0.0013
e) 0.0030

D) 0.0013

Step-by-step explanation:

Let x be the random variable that represents the lengths of rods.

As pr given , we have

n=100 ,  

z-score :

For x= 119.985 inches , we have

Using the standard z-table , we have

The probability that Claude's sample has a mean less than 119.985 inches is

Hence, the probability that Claude's sample has a mean less than 119.985 inches is 0.0013.

10000000000000000000000000000000

your answer is b ^w^ hope i