Consider the population of batteries made by a particular manufacturer. The following density curve represents the probability distribution for the variable x 5 lifetime (in hours):

0 25 50 Shade the region under the curve corresponding to each of the following probabilities (draw a new curve for each part):

a. P(10 , x , 25)

b. P(10 # x # 25)

c. P(x , 30)

d. The probability that the lifetime is at least 25 hours

e. The probability that the lifetime exceeds 30 hours