Question
1. Which of the following are qualifying for the application of the Poisson probability distribution? For those are not, indicate which part of the condition
1. Which of the following are qualifying for the application of the Poisson probability
distribution? For those are not, indicate which part of the condition of Poisson probability
distribution does not apply.
a. The number of customers coming to a grocery store during a one-hour interval.
b. The arrival of commercial airplanes at KLIA.
c. The number of television sets sold at a department store during a given week.
d. The arrival of patients at a physician's office.
e. The number of defective items in the next 100 items manufactured on a machine.
f. The number of defects in a five meter long iron rod.
2. Random variable Y has the Poisson distribution with mean 0.4. Calculate
a. P(Y=0)
b. P(Y>3)
c. P(Y2)
d. P(1 3. Random variable X has the Poisson distribution with mean 1.5 . By using Poisson probability table, find a. P(X=0) b. P(X2) c. P(3Y5) 4. The Sweet Color Paint Factory uses "agent B" in the paint manufacturing process. There is an average of three particles of agent B in a cubic meter of air emitted during the production process. What is the probability that there will be no agent B in a cubic meter of air emission? 5. At a police station, on average, the reported number of accident is three per day. Find the probability that a. More than two accidents were reported per day. b. Exactly four accidents were reported per day. 6. Getrich Bank records show that an average of twenty people arrives at a teller's counter during an hour. What is the probability that a. Exactly thirty will arrive during a one-hour period? b. More than ten will arrive during a one-hour period? 7. On average, a certain intersection result in three traffic accidents per month. What is the probability that for any given month at this intersection a. Exactly five accidents will occur? b. Less than three accidents will occur? c. At least two accidents will occur? 8. A secretary makes two errors per page, on average. What is the probability that on the next page he or she will make a. Four or more errors? b. No error? c. Four errors in two pages? 9. On average, the number of train accidents is three a year. Evaluate the probability that one accident will happen within six months? Determine the number of train accidents within eighteen months. 10. On average, the number of newspaper was sold is fifteen per hour. Calculate the probability that at least one newspaper is sold within five minutes? Then find the number of newspaper was sold within eighty minutes.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started