# Statistics MCQs –Continuous Distributions Part 8

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141. In a large statistics class the heights of the students are normally distributed with a mean of 172cm and a variance of 25cm2. What proportion of students are between 175cm and 185cm in height?

a. 0.954

b. 0.601

c. 0.718

d. 0.883

e. 0.270

142. A statistical analysis of long-distance telephone calls indicates that the length of these calls is normally distributed with a mean of 240 seconds and a standard deviation of 40 seconds. What proportion of calls last less than 180 seconds or more than 300 seconds?

a. 0.911

b. 0.034

c. 0.134

d. 0.067

e. 0.548

143. A bakery finds that the average weight of its most popular package of cookies is 32.06g with a standard deviation of 0.10g. Assuming that the weight of the package of cookies follows a normal distribution, what portion of cookie packages will weigh less than 31.90 g or more than 32.30 g?

a. 0.06

b. 0.24

c. 0.78

d. 0.01

e. 0.00

144. A statistical analysis of long-distance telephone calls indicates that the length of these calls is normally distributed with a mean of 240 seconds and a standard deviation of 40 seconds. What proportion of calls lasts less than 180 seconds?

a. 0.214

b. 0.094

c. 0933

d. 0.466

e. 0.067

145. In a large statistics class the heights of the students are normally distributed with a mean of 172cm and a variance of 25cm2. What is the probability that a randomly selected student from this class will be taller than 180cm?

a. 0.055

b. 0.655

c. 0.274

d. 0.919

e. 0.992

146. In a large statistics class the heights of the students are normally distributed with a mean of 172cm and a variance of 25cm2. What is the probability that a randomly selected student from this class will be taller than 170cm?

a. 0.055

b. 0.655

c. 0.274

d. 0.919

e. 0.992

147. In a large statistics class the heights of the students are normally distributed with a mean of 172cm and a variance of 25cm2. What is the probability that a randomly selected student from this class will be taller than 175cm?

a. 0.055

b. 0.655

c. 0.274

d. 0.919

e. 0.992

148. In a large statistics class the heights of the students are normally distributed with a mean of 172cm and a variance of 25cm2. What is the probability that a randomly selected student from this class will be taller than 165cm?

a. 0.055

b. 0.655

c. 0.274

d. 0.919

e. 0.992

149. In a large statistics class the heights of the students are normally distributed with a mean of 172cm and a variance of 25cm2. What is the probability that a randomly selected student from this class will be taller than 160cm?

a. 0.055

b. 0.655

c. 0.274

d. 0.919

e. 0.992

150. Using the standard normal table, the sum of the probabilities to the right of z = 2.18 and to the left of z = -1.75 is:

a. 0.4854

b. 0.4599

c. 0.0146

d. 0.0401

e. 0.0547

151. The time until first failure of a brand of inkjet printers is normally distributed with a mean of 1500 hours and a standard deviation of 200 hours. What proportion of printers fails before 1000 hours?

a. 0.0062

b. 0.0668

c. 0.8413

d. 0.0228

e. 0.6915

152. The time until first failure of a brand of inkjet printers is normally distributed with a mean of 1500 hours and a standard deviation of 200 hours. What proportion of printers fails before 1200 hours?

a. 0.0062

b. 0.0668

c. 0.8413

d. 0.0228

e. 0.6915

153. The time until first failure of a brand of inkjet printers is normally distributed with a mean of 1500 hours and a standard deviation of 200 hours. What proportion of printers fails before 1700 hours?

a. 0.0062

b. 0.0668

c. 0.8413

d. 0.0228

e. 0.6915

154. The time until first failure of a brand of inkjet printers is normally distributed with a mean of 1500 hours and a standard deviation of 200 hours. What proportion of printers fails before 1100 hours?

a. 0.0062

b. 0.0668

c. 0.8413

d. 0.0228

e. 0.6915

155. The time until first failure of a brand of inkjet printers is normally distributed with a mean of 1500 hours and a standard deviation of 200 hours. What proportion of printers fails before 1600 hours?

a. 0.0062

b. 0.0668

c. 0.8413

d. 0.0228

e. 0.6915

156. Student marks for a first-year Statistics class test follow a normal distribution with a mean of 63% and a standard deviation of 7%. What is the probability that a randomly selected student who wrote the test got more than 75%?

a. 0.043

b. 0.388

c. 0.159

d. 0.666

e. 0.968

157. Student marks for a first-year Statistics class test follow a normal distribution with a mean of 63% and a standard deviation of 7%. What is the probability that a randomly selected student who wrote the test got more than 65%?

a. 0.043

b. 0.388

c. 0.159

d. 0.666

e. 0.968

158. Student marks for a first-year Statistics class test follow a normal distribution with a mean of 63% and a standard deviation of 7%. What is the probability that a randomly selected student who wrote the test got more than 70%?

a. 0.043

b. 0.388

c. 0.159

d. 0.666

e. 0.968

159. Student marks for a first-year Statistics class test follow a normal distribution with a mean of 63% and a standard deviation of 7%. What is the probability that a randomly selected student who wrote the test got more than 60%?

a. 0.043

b. 0.388

c. 0.159

d. 0.666

e. 0.968

160. Student marks for a first-year Statistics class test follow a normal distribution with a mean of 63% and a standard deviation of 7%. What is the probability that a randomly selected student who wrote the test got more than 50%?

a. 0.043

b. 0.388

c. 0.159

d. 0.666

e. 0.968