# Statistics MCQs – Continuous Distributions Part 7

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121. The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a mean of 120mm and a standard deviation of 10mm. What proportion of oranges in the orchard have a diameter between 100mm and 115mm?

a. 0.6826

b. 0.8186

c. 0.3829

d. 0.4332

e. 0.2858

122. The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is within one standard deviation of the mean?

a. 0.683

b. 0.954

c. 0.271

d. 0.340

e. 0.161

123. The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 50 and 90?

a. 0.683

b. 0.954

c. 0.271

d. 0.340

e. 0.161

124. The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 65 and 72?

a. 0.683

b. 0.954

c. 0.271

d. 0.340

e. 0.161

125. The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 72 and 84?

a. 0.683

b. 0.954

c. 0.271

d. 0.340

e. 0.161

126. The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 50 and 61?

a. 0.683

b. 0.954

c. 0.271

d. 0.340

e. 0.161

127. The starting annual salaries of newly qualified chartered accountants (CA՚s) in South Africa follow a normal distribution with a mean of R180,000 and a standard deviation of R10,000. What is the probability that a randomly selected newly qualified CA will earn between R160,000 and R190,000 per annum?

a. 0.819

b. 0.242

c. 0.286

d. 0.533

e. 0.307

128. The starting annual salaries of newly qualified chartered accountants (CA՚s) in South Africa follow a normal distribution with a mean of R180,000 and a standard deviation of R10,000. What is the probability that a randomly selected newly qualified CA will earn between R165,000 and R175,000 per annum?

a. 0.819

b. 0.242

c. 0.286

d. 0.533

e. 0.307

129. The starting annual salaries of newly qualified chartered accountants (CA՚s) in South Africa follow a normal distribution with a mean of R180,000 and a standard deviation of R10,000. What is the probability that a randomly selected newly qualified CA will earn between R185,000 and R200,000 per annum?

a. 0.819

b. 0.242

c. 0.286

d. 0.533

e. 0.307

130. The starting annual salaries of newly qualified chartered accountants (CA՚s) in South Africa follow a normal distribution with a mean of R180,000 and a standard deviation of R10,000. What is the probability that a randomly selected newly qualified CA will earn between R170,000 and R185,000 per annum?

a. 0.819

b. 0.242

c. 0.286

d. 0.533

e. 0.307

131. The starting annual salaries of newly qualified chartered accountants (CA՚s) in South Africa follow a normal distribution with a mean of R180,000 and a standard deviation of R10,000. What is the probability that a randomly selected newly qualified CA will earn between R150,000 and R175,000 per annum?

a. 0.819

b. 0.242

c. 0.286

d. 0.533

e. 0.307

132. Given that X is Normally distributed with a mean of 80 and a variance of 100, what is p (85 < X < 90) ?

a. 0.150

b. 0.341

c. 0.286

d. 0.625

e. 0.533

133. Given that X is Normally distributed with a mean of 80 and a variance of 100, what is p (70 < X < 80) ?

a. 0.150

b. 0.341

c. 0.286

d. 0.625

e. 0.533

134. Given that X is Normally distributed with a mean of 80 and a variance of 100, what is p (60 < X < 75) ?

a. 0.150

b. 0.341

c. 0.286

d. 0.625

e. 0.533

135. Given that X is Normally distributed with a mean of 80 and a variance of 100, what is p (75 < X < 95) ?

a. 0.150

b. 0.341

c. 0.286

d. 0.625

e. 0.533

136. Given that X is Normally distributed with a mean of 80 and a variance of 100, what is p (70 < X < 85) ?

a. 0.150

b. 0.341

c. 0.286

d. 0.625

e. 0.533

137. 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 162cm and 182cm in height?

a. 0.954

b. 0.601

c. 0.718

d. 0.883

e. 0.270

138. 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 170cm and 180cm in height?

a. 0.954

b. 0.601

c. 0.718

d. 0.883

e. 0.270

139. 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 160cm and 175cm in height?

a. 0.954

b. 0.601

c. 0.718

d. 0.883

e. 0.270

140. 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 165cm and 181cm in height?

a. 0.954

b. 0.601

c. 0.718

d. 0.883

e. 0.270