The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a mean of 60,000 miles and a standard deviation of 4,000 miles. Suppose you bought a set of four tires, what is the likelihood the mean tire life of these four tires is between 57,000 and 63,000 miles?A) Very likely.
B) 0.4332.
C) 0.8664.
D) 1.00.

C) 0.8664.

Step-by-step explanation:

Given, The tread life of tires mounted on light-duty trucks follows the normal probability distribution with .

Let be the sample mean tire life of any 4 tires.

Now , the probability that the mean tire life of these four tires is between 57,000 and 63,000 miles will be :-

For Very likely , the probability should lie between 0.95 and 1.

Hence, the correct answer is C) 0.8664.