Statistics MCQs – Discrete Distributions Part 11
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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
Answer: C
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
Answer: D
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
Answer: E
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
Answer: A
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
Answer: B
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
Answer: C
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
Answer: D
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
Answer: E
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
Answer: A
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
Answer: B
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
Answer: C
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
Answer: D
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
Answer: E
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
Answer: A
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
Answer: B
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
Answer: C
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
Answer: D
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
Answer: E
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
Answer: A
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
Answer: B