Exercise 3
the distribution of lifetimes of a particular brand of car tires has a mean of 51,200 miles and a standard deviation of 8,200 miles.
a. assuming that the distribution of lifetimes is approximately normally distributed and rounding your answers to the nearest thousandth, find the probability of each event.
i. a randomly selected tire lasts between 55,000 and 65,000 miles.
ii. a randomly selected tire lasts less than 48,000 miles.
iii. a randomly selected tire lasts at least 41,000 miles.
b. explain the meaning of the probability that you found in part (a)(iii).