Question 1

Ralph's Gas Station is running a giveaway promotion. With every fill-up of gasoline, Ralph gives out a lottery ticket that has a 25% chance of being a winning ticket. Customers who collect four winning lottery tickets are eligible for the "BIG SPIN" for large payoffs. What is the probability of qualifying for the big spin if a customer fills up: (a) 3 times; (b) 4 times; (c) 7 times?

Accepted Answer

The answer of Ralph's Gas Station is running a giveaway...

Question 2

Consider a Poisson probability distribution in a process with an average of 3 flaws every 100 feet. Find the probability of
a. no flaws in 100 feet
b. 2 flaws in 100 feet
c. 1 flaws in 150 feet
d. 3 or 4 flaws in 150 feet

Accepted Answer

The answer of Consider a Poisson probability distribution in a...

Question 3

The number of customers at Winkies Donuts between 8:00a.m. and 9:00a.m. is believed to follow a Poisson distribution with a mean of 2 customers per minute.
a. During a randomly selected one-minute interval during this time period, what is the probability of 6 customers arriving to Winkies?
b. What is the probability that at least 2 minutes elapse between customer arrivals?

Accepted Answer

The answer of The number of customers at Winkies Donuts...

Question 4

During lunchtime, customers arrive at Bob's Drugs according to a Poisson distribution with $\lambda$ = 4 per minute.
a. During a one minute interval, determine the following probabilities: (1) no arrivals; (2) one arrival; (3) two arrivals; and, (4) three or more arrivals.
b. What is the probability of two arrivals in a two-minute period?

Accepted Answer

The answer of During lunchtime, customers arrive at Bob's Drugs...

Question 5

Telephone calls arrive at the Global Airline reservation office in Louisville according to a Poisson distribution with a mean of 1.2 calls per minute.
a. What is the probability of receiving exactly one call during a one-minute interval?
b. What is the probability of receiving at most 2 calls during a one-minute interval?
c. What is the probability of receiving at least two calls during a one-minute interval?
d. What is the probability of receiving exactly 4 calls during a five-minute interval?
e. What is the probability that at most 2 minutes elapse between one call and the next?

Accepted Answer

The answer of Telephone calls arrive at the Global Airline...

Question 6

Before dawn Josh hurriedly packed some clothes for a job-interview trip while his roommate was still sleeping. He reached in his disorganized sock drawer where there were five black socks and five navy blue socks, although they appeared to be the same color in the dimly lighted room. Josh grabbed six socks, hoping that at least two, and preferably four, of them were black to match the gray suit he had packed. With no time to spare, he then raced to the airport to catch his plane.
a. What is the probability that Josh packed at least two black socks so that he will be dressed appropriately the day of his interview?
b. What is the probability that Josh packed at least four black socks so that he will be dressed appropriately the latter day of his trip as well?

Accepted Answer

The answer of Before dawn Josh hurriedly packed some clothes...

Quiz 5: Discrete Probability Distributions

Consider a Poisson probability distribution in a process with an average of 3 flaws every 100 feet. Find the probability of a. no flaws in 100 feet b. 2 flaws in 100 feet c. 1 flaws in 150 feet d. 3 or 4 flaws in 150 feet