# Statistics MCQs – Discrete Distributions Part 11

Dr. Manishika Jain- Join online Paper 1 intensive course. Includes tests and expected questions.

201. Cars arrive at an Engen petrol station at an average rate of 6 cars per hour. What is the probability that more than 4 cars arrive in 20 minutes?

a. 0.560

b. 0.371

c. 0.053

d. 0.297

e. 0.323

202. Cars arrive at an Engen petrol station at an average rate of 9 cars per hour. What is the probability that more than 5 cars arrive in 30 minutes?

a. 0.560

b. 0.371

c. 0.053

d. 0.297

e. 0.323

203. Cars arrive at an Engen petrol station at an average rate of 12 cars per hour. What is the probability that more than 2 cars arrive in 10 minutes?

a. 0.560

b. 0.371

c. 0.053

d. 0.297

e. 0.323

204. A computer that operates continuously breaks down randomly on average 6 times per month (4 weeks) . What is the expected number of breakdowns in 3 weeks?

a. 4.5

b. 6.0

c. 3.0

d. 12.0

e. 9.0

205. A computer that operates continuously breaks down randomly on average 6 times per month (4 weeks) . What is the expected number of breakdowns in one month?

a. 4.5

b. 6.0

c. 3.0

d. 12.0

e. 9.0

206. A computer that operates continuously breaks down randomly on average 6 times per month (4 weeks) . What is the expected number of breakdowns in 2 weeks?

a. 4.5

b. 6.0

c. 3.0

d. 12.0

e. 9.0

207. A computer that operates continuously breaks down randomly on average 6 times per month (4 weeks) . What is the expected number of breakdowns in 8 weeks?

a. 4.5

b. 6.0

c. 3.0

d. 12.0

e. 9.0

208. A computer that operates continuously breaks down randomly on average 6 times per month (4 weeks) . What is the expected number of breakdowns in 6 weeks?

a. 4.5

b. 6.0

c. 3.0

d. 12.0

e. 9.0

209. Tourists enter a popular game reserve at an average rate of one every five minutes. Each tourist is required to pay a cover charge of R10 per head. The cover charge is the only source of income for the game reserve. What is the expected income for the game reserve in an 8-hour day?

a. R960

b. R1920

c. R6720

d. R13440

e. R2880

210. Tourists enter a popular game reserve at an average rate of one every five minutes. Each tourist is required to pay a cover charge of R20 per head. The cover charge is the only source of income for the game reserve. What is the expected income for the game reserve in an 8-hour day?

a. R960

b. R1920

c. R6720

d. R13440

e. R2880

211. Tourists enter a popular game reserve at an average rate of one every five minutes. Each tourist is required to pay a cover charge of R10 per head. The cover charge is the only source of income for the game reserve. What is the expected income for the game reserve in a week (consisting of 7 days for which the reserve is open 8 hours per day) ?

a. R960

b. R1920

c. R6720

d. R13440

e. R2880

212. Tourists enter a popular game reserve at an average rate of one every five minutes. Each tourist is required to pay a cover charge of R20 per head. The cover charge is the only source of income for the game reserve. What is the expected income for the game reserve in a week (consisting of 7 days for which the reserve is open 8 hours per day) ?

a. R960

b. R1920

c. R6720

d. R13440

e. R2880

213. Tourists enter a popular game reserve at an average rate of one every five minutes. Each tourist is required to pay a cover charge of R10 per head. The cover charge is the only source of income for the game reserve. What is the expected income for the game reserve over three 8-hour days?

a. R960

b. R1920

c. R6720

d. R13440

e. R2880

214. A random variable, X, follows a Poisson distribution with a standard deviation of 3. What is the expected value of X?

a. 9

b. 3

c. 16

d. 5

e. 4

215. A random variable, X, follows a Poisson distribution with a variance of 3. What is the expected value of X?

a. 9

b. 3

c. 16

d. 5

e. 4

216. A random variable, X, follows a Poisson distribution with a standard deviation of 4. What is the expected value of X?

a. 9

b. 3

c. 16

d. 5

e. 4

217. A random variable, X, follows a Poisson distribution with a variance of 5. What is the expected value of X?

a. 9

b. 3

c. 16

d. 5

e. 4

218. A random variable, X, follows a Poisson distribution with a standard deviation of 2. What is the expected value of X?

a. 9

b. 3

c. 16

d. 5

e. 4

219. Cars arrive at a tollgate at an average rate of 12 cars per hour. If a fee of R5.50 is required per car to be allowed to pass through the tollgate, what are the expected earnings of the tollgate in a 12-hour period?

a. R792

b. R936

c. R528

d. R660

e. R1584

220. Cars arrive at a tollgate at an average rate of 12 cars per hour. If a fee of R6.50 is required per car to be allowed to pass through the tollgate, what are the expected earnings of the tollgate in a 12-hour period?

a. R792

b. R936

c. R528

d. R660

e. R1584