MA110 FINITE MATHEMATICS SUMMER 2001
July 2001 QUIZ 5 Jellett
SCORE
NAME:..........................................
/20
1. A population is normally distributed with mean 36.8 and standard deviation
2.5. Find the following probabilities:
(i) p(36.8< x < 39.3)
(ii) p(34.2< x < 38.7)
(iii) p(x < 40.0)
(iv) p(32.3< x < 41.3)
(v) p(x= 37.9)
(vi) p(x > 37.9)
2. The mean weight of a box of cereal filled by a machine is 16.0 ounces, with
a standard deviation of 0.3 ounce. If the weights of all the boxes filled by the
machine are normally distributed, what percent of the boxes will weigh the following
amounts?
(i) less than 15.5 ounces
(ii) between 15.8 and 16.2 ounces