# Question: The lifetimes of a particular brand of DVD player are

The lifetimes of a particular brand of DVD player are normally distributed with a mean of eight years and a standard deviation of six months. Find each of the following probabilities where x denotes the lifetime in years. In each case, sketch the probability.

a. P(7 ≤ x ≤ 9)

b. P(8.5 ≤ x ≤ 9.5)

c. P(6.5 ≤ x ≤ 7.5)

d. P(x ≥ 8)

e. P(x ≤ 7)

f. P(x ≥ 7)

g. P(x ≤ 10)

h. P(x > 10)

a. P(7 ≤ x ≤ 9)

b. P(8.5 ≤ x ≤ 9.5)

c. P(6.5 ≤ x ≤ 7.5)

d. P(x ≥ 8)

e. P(x ≤ 7)

f. P(x ≥ 7)

g. P(x ≤ 10)

h. P(x > 10)

**View Solution:**## Answer to relevant Questions

United Motors claims that one of its cars, the Starbird 300, gets city driving mileages that are normally distributed with a mean of 30 mpg and a standard deviation of 1 mpg. Let x denote the city driving mileage of a ...Two students take a college entrance exam known to have a normal distribution of scores. The students receive raw scores of 63 and 93, which correspond to z scores (often called the standardized scores) of – 1 and 1.5, ...Repeat Exercise 6.39 with n = 200 and p = .5. In exercise Suppose that x has a binomial distribution with n = 200 and p = .4. a. Show that the normal approximation to the binomial can appropriately be used to calculate ...When is it appropriate to use the uniform distribution to describe a random variable x? In a bottle- filling process, the amount of drink injected into 16 oz bottles is normally distributed with a mean of 16 oz and a standard deviation of .02 oz. Bottles containing less than 15.95 oz do not meet the bottler’s ...Post your question