Question 1

Computer Disks Narrative
The quality of computer disks is measured by sending the disks through a certifier that counts the number of missing pulses. A certain brand of computer disks averages 0.1 missing pulses per disk. Let the random variable x denote the number of missing pulses.
-Refer to Computer Disks Narrative. Find the probability that the next inspected disk will have no missing pulse.

Accepted Answer

The answer of Computer Disks Narrative
The quality of computer disks...

Question 2

The number of teleport inquiries, x, in a timesharing computer system averages 0.2 per millisecond and follows a Poisson distribution.
a. Find the probability that no inquiries are made during the next millisecond.
b. Find the probability that no inquiries are made during the next three milliseconds.

Accepted Answer

The answer of The number of teleport inquiries, x, in...

Question 3

Computer Disks Narrative
The quality of computer disks is measured by sending the disks through a certifier that counts the number of missing pulses. A certain brand of computer disks averages 0.1 missing pulses per disk. Let the random variable x denote the number of missing pulses.
-Refer to Computer Disks Narrative. What is the distribution of x?

Accepted Answer

The answer of Computer Disks Narrative
The quality of computer disks...

Question 4

Warehouse Narrative
A warehouse contains ten computer printers, four of which are defective. A company randomly selects five of the ten printers to purchase.
-Refer to Warehouse Narrative. What is the probability all five are non-defective?

Accepted Answer

The answer of Warehouse Narrative
A warehouse contains ten computer printers,...

Question 5

Computer Disks Narrative
The quality of computer disks is measured by sending the disks through a certifier that counts the number of missing pulses. A certain brand of computer disks averages 0.1 missing pulses per disk. Let the random variable x denote the number of missing pulses.
-Refer to Computer Disks Narrative. Find the probability neither of the next two disks inspected will contain any missing pulse.

Accepted Answer

The answer of Computer Disks Narrative
The quality of computer disks...

Question 6

Automobile Spark Plugs Narrative
An eight-cylinder automobile engine has two misfiring spark plugs. The mechanic removes all four plugs from one side of the engine.
-Refer to Automobile Spark Plugs Narrative. What is the probability the two misfiring spark plugs are among those removed?

Accepted Answer

The answer of Automobile Spark Plugs Narrative
An eight-cylinder automobile engine...

Question 7

From a group of ten bank officers, three are selected at random to be relocated and to supervise new branch offices. If two of the ten officers are women and eight are men, what is the probability exactly one of the officers to be relocated will be a woman?

Accepted Answer

The answer of From a group of ten bank officers,...

Question 8

Automobile Spark Plugs Narrative
An eight-cylinder automobile engine has two misfiring spark plugs. The mechanic removes all four plugs from one side of the engine.
-Refer to Automobile Spark Plugs Narrative. What is the variance of the number of misfiring spark plugs?

Accepted Answer

The answer of Automobile Spark Plugs Narrative
An eight-cylinder automobile engine...

Question 9

Rebuilt ignition systems leave an aircraft repair shop at an average rate of three per hour. The assembly line needs four ignition systems in the next hour. What is the probability they will be available?

Accepted Answer

The answer of Rebuilt ignition systems leave an aircraft repair...

Question 10

Computer Disks Narrative
The quality of computer disks is measured by sending the disks through a certifier that counts the number of missing pulses. A certain brand of computer disks averages 0.1 missing pulses per disk. Let the random variable x denote the number of missing pulses.
-Refer to Computer Disks Narrative. Find the probability the next disk inspected will have more than one missing pulse.

Accepted Answer

The answer of Computer Disks Narrative
The quality of computer disks...

Question 11

Automobile Spark Plugs Narrative
An eight-cylinder automobile engine has two misfiring spark plugs. The mechanic removes all four plugs from one side of the engine.
-Refer to Automobile Spark Plugs Narrative. What is the mean number of misfiring spark plugs?

Accepted Answer

The answer of Automobile Spark Plugs Narrative
An eight-cylinder automobile engine...

Question 12

The probability that the 1993-94 flu vaccine immunizes those receiving it is 0.97. If a random sample of 200 people receive the vaccine, what is the probability the vaccine will be ineffective on at most 5 people?

Accepted Answer

The answer of The probability that the 1993-94 flu vaccine...

Question 13

A shipment of six parrots from Brazil includes two parrots with a potentially fatal disease. As usual, the Customs Office at the shipment's point of entry randomly samples two parrots and tests them for disease. Let the random variable x be the number of healthy parrots in the sample. Find the probability distribution of x.

Accepted Answer

The answer of A shipment of six parrots from Brazil...

Question 14

Warehouse Narrative
A warehouse contains ten computer printers, four of which are defective. A company randomly selects five of the ten printers to purchase.
-Refer to Warehouse Narrative. What is the variance of x?

Accepted Answer

The answer of Warehouse Narrative
A warehouse contains ten computer printers,...

Question 15

A package of six light bulbs contains two defective bulbs. If three bulbs are selected for use, find the probability none are defective.

Accepted Answer

The answer of A package of six light bulbs contains...

Question 16

Three yellow and two blue pencils are in a drawer. If we randomly select two pencils from the drawer, find the probability distribution of x, the number of yellow pencils selected.

Accepted Answer

The answer of Three yellow and two blue pencils are...

Question 17

Health Care Narrative
Students arrive at a health centre, according to a Poisson distribution, at a rate of four every 15 minutes. Let x represent number of students arriving in a 15-minute period.
-Refer to Health Care Narrative. What is the probability that no more than three students arrive during a 15-minute period?

Accepted Answer

The answer of Health Care Narrative
Students arrive at a health...

Question 18

Consider an experiment with 25 trials where the probability of success on any trial is 0.01, and let the random variable x be the number of successes among the 25 trials. What are p(0), p(1), p(2), and p(3), based on the Poisson approximation to the binomial?

Accepted Answer

The answer of Consider an experiment with 25 trials where...

Question 19

A salesperson has found the probability of making a sale on a particular product manufactured by his company is 0.05. If the salesperson contacts 140 potential customers, what is the probability he will sell at least 2 of these products?

Accepted Answer

The answer of A salesperson has found the probability of...

Question 20

Warehouse Narrative
A warehouse contains ten computer printers, four of which are defective. A company randomly selects five of the ten printers to purchase.
-Refer to Warehouse Narrative. What is the mean of x?

Accepted Answer

The answer of Warehouse Narrative
A warehouse contains ten computer printers,...

Quiz 5: Several Useful Discrete Distributions

Warehouse Narrative A warehouse contains ten computer printers, four of which are defective. A company randomly selects five of the ten printers to purchase. -Refer to Warehouse Narrative. What is the probability all five are non-defective?

Automobile Spark Plugs Narrative An eight-cylinder automobile engine has two misfiring spark plugs. The mechanic removes all four plugs from one side of the engine. -Refer to Automobile Spark Plugs Narrative. What is the probability the two misfiring spark plugs are among those removed?

From a group of ten bank officers, three are selected at random to be relocated and to supervise new branch offices. If two of the ten officers are women and eight are men, what is the probability exactly one of the officers to be relocated will be a woman?

Automobile Spark Plugs Narrative An eight-cylinder automobile engine has two misfiring spark plugs. The mechanic removes all four plugs from one side of the engine. -Refer to Automobile Spark Plugs Narrative. What is the variance of the number of misfiring spark plugs?

Rebuilt ignition systems leave an aircraft repair shop at an average rate of three per hour. The assembly line needs four ignition systems in the next hour. What is the probability they will be available?

Automobile Spark Plugs Narrative An eight-cylinder automobile engine has two misfiring spark plugs. The mechanic removes all four plugs from one side of the engine. -Refer to Automobile Spark Plugs Narrative. What is the mean number of misfiring spark plugs?

The probability that the 1993-94 flu vaccine immunizes those receiving it is 0.97. If a random sample of 200 people receive the vaccine, what is the probability the vaccine will be ineffective on at most 5 people?

Warehouse Narrative A warehouse contains ten computer printers, four of which are defective. A company randomly selects five of the ten printers to purchase. -Refer to Warehouse Narrative. What is the variance of x?

A package of six light bulbs contains two defective bulbs. If three bulbs are selected for use, find the probability none are defective.

Three yellow and two blue pencils are in a drawer. If we randomly select two pencils from the drawer, find the probability distribution of x, the number of yellow pencils selected.

Consider an experiment with 25 trials where the probability of success on any trial is 0.01, and let the random variable x be the number of successes among the 25 trials. What are p(0), p(1), p(2), and p(3), based on the Poisson approximation to the binomial?

A salesperson has found the probability of making a sale on a particular product manufactured by his company is 0.05. If the salesperson contacts 140 potential customers, what is the probability he will sell at least 2 of these products?

Warehouse Narrative A warehouse contains ten computer printers, four of which are defective. A company randomly selects five of the ten printers to purchase. -Refer to Warehouse Narrative. What is the mean of x?