Questions from Applied Statistics

Q: Calculate each Poisson probability: a. P(X =

Calculate each Poisson probability: a. P(X = 6), λ = 4.0 b. P(X = 10), λ = 12.0 c. P(X = 4), λ = 7.0

Q: Calculate each Poisson probability: a. P(X

Calculate each Poisson probability: a. P(X = 2), λ = 0.1 b. P(X = 1), λ = 2.2 c. P(X = 3), λ = 1.6

Q: Calculate each compound event probability: a. P(

Calculate each compound event probability: a. P(X < 3), λ = 4.3 b. P(X > 7), λ = 5.2 c. P(X < 3), λ = 2.7

Q: The average number of items (such as a drink or dessert

The average number of items (such as a drink or dessert) ordered by a Noodles & Company customer in addition to the meal is 1.4. These items are called add-ons. Define X to be the number of add-ons or...

Q: (a) Why might the number of yawns per minute by

(a) Why might the number of yawns per minute by students in a warm classroom not be a Poisson event? (b) Give two additional examples of events per unit of time that might violate the assumptions of t...

Q: An experienced order taker at the L.L. Bean call

An experienced order taker at the L.L. Bean call center has a .003 chance of error on each keystroke (i.e., π = .003). In 500 keystrokes, find the approximate probability of (a) at least two errors an...

Q: The probability of a manufacturing defect in an aluminum beverage can is

The probability of a manufacturing defect in an aluminum beverage can is .00002. If 100,000 cans are produced, find the approximate probability of (a) at least one defective can and (b) two or more de...

Q: In a string of 100 Christmas lights, there is a .

In a string of 100 Christmas lights, there is a .01 chance that a given bulb will fail within the first year of use (if one bulb fails, it does not affect the others). Find the approximate probability...

Q: The probability that a passenger’s bag will be mishandled on a U

The probability that a passenger’s bag will be mishandled on a U.S. airline is .0046. During spring break, suppose that 500 students fly from Minnesota to various southern destinations. (a) What is th...

Q: The default rate on government-guaranteed student loans at a certain

The default rate on government-guaranteed student loans at a certain public four-year institution is 7 percent. (a) If 1,000 student loans are made, what is the probability of fewer than 50 defaults?...