# Statistics MCQs – Discrete Distributions Part 10

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181. Seventy (70) accidents are reported on a particular stretch of highway over a 100-day period. What is the probability that there will be more than one accident during a week (assume a seven-day week) ?

a. 0.9722

b. 0.9857

c. 0.9561

d. 0.9756

e. 0.9844

182. Eighty (80) accidents are reported on a particular stretch of highway over a 100-day period. What is the probability that there will be more than one accident during a week (assume a seven-day week) ?

a. 0.9722

b. 0.9857

c. 0.9561

d. 0.9756

e. 0.9844

183. Seventy (70) accidents are reported on a particular stretch of highway over a 80-day period. What is the probability that there will be more than one accident during a week (assume a seven-day week) ?

a. 0.9722

b. 0.9857

c. 0.9561

d. 0.9756

e. 0.9844

184. In checking river water samples for bacteria, water is placed in a culture medium in order to grow colonies of bacteria. The number of colonies seen in a dish is a random variable, X. Scientists know that on average there are four colonies per dish. What is the probability that the next dish studied will contain at least two colonies?

a. 0.908

b. 0.762

c. 0.960

d. 0.875

e. 0.849

185. In checking river water samples for bacteria, water is placed in a culture medium in order to grow colonies of bacteria. The number of colonies seen in a dish is a random variable, X. Scientists know that on average there are four colonies per dish. What is the probability that the next dish studied will contain at least three colonies?

a. 0.908

b. 0.762

c. 0.960

d. 0.875

e. 0.849

186. In checking river water samples for bacteria, water is placed in a culture medium in order to grow colonies of bacteria. The number of colonies seen in a dish is a random variable, X. Scientists know that on average there are five colonies per dish. What is the probability that the next dish studied will contain at least two colonies?

a. 0.908

b. 0.762

c. 0.960

d. 0.875

e. 0.849

187. In checking river water samples for bacteria, water is placed in a culture medium in order to grow colonies of bacteria. The number of colonies seen in a dish is a random variable, X. Scientists know that on average there are five colonies per dish What is the probability that the next dish studied will contain at least three colonies?

a. 0.908

b. 0.762

c. 0.960

d. 0.875

e. 0.849

188. In checking river water samples for bacteria, water is placed in a culture medium in order to grow colonies of bacteria. The number of colonies seen in a dish is a random variable, X. Scientists know that on average there are six colonies per dish. What is the probability that the next dish studied will contain at least four colonies?

a. 0.908

b. 0.762

c. 0.960

d. 0.875

e. 0.849

189. A random variable, X, follows a Poisson distribution with a standard deviation of 3. What is P (X > 5) ?

a. 0.884

b. 0.084

c. 0.567

d. 0.384

e. 0.715

190. A random variable, X, follows a Poisson distribution with a variance of 3. What is P (X > 5) ?

a. 0.884

b. 0.084

c. 0.567

d. 0.384

e. 0.715

191. A random variable, X, follows a Poisson distribution with a standard deviation of 2. What is P (X > 3) ?

a. 0.884

b. 0.084

c. 0.567

d. 0.384

e. 0.715

192. A random variable, X, follows a Poisson distribution with a variance of 5. What is P (X > 5) ?

a. 0.884

b. 0.084

c. 0.567

d. 0.384

e. 0.715

193. A random variable, X, follows a Poisson distribution with a variance of 6. What is P (X > 4) ?

a. 0.884

b. 0.084

c. 0.567

d. 0.384

e. 0.715

194. If X is a random variable such that X ~P (3.5) , what is P (X ⩾ 5) ?

a. 0.275

b. 0.864

c. 0.715

d. 0.983

e. 0.642

195. If X is a random variable such that X ~P (3.5) , what is P (X ⩾ 2) ?

a. 0.275

b. 0.864

c. 0.715

d. 0.983

e. 0.642

196. If X is a random variable such that X ~P (6) , what is P (X ⩾ 5) ?

a. 0.275

b. 0.864

c. 0.715

d. 0.983

e. 0.642

197. If X is a random variable such that X ~P (6) , what is P (X ⩾ 2) ?

a. 0.275

b. 0.864

c. 0.715

d. 0.983

e. 0.642

198. If X is a random variable such that X ~P (5.5) , what is P (X ⩾ 5) ?

a. 0.275

b. 0.864

c. 0.715

d. 0.983

e. 0.642

199. Cars arrive at an Engen petrol station at an average rate of 10 cars per hour. What is the probability that more than 4 cars arrive in 30 minutes?

a. 0.560

b. 0.371

c. 0.053

d. 0.297

e. 0.323

200. Cars arrive at an Engen petrol station at an average rate of 8 cars per hour. What is the probability that more than 4 cars arrive in 30 minutes?

a. 0.560

b. 0.371

c. 0.053

d. 0.297

e. 0.323