Question 1

The standard normal distribution is a normal distribution with a mean of 1 and a standard deviation of 1/3.

Accepted Answer

A) True 
 B)False

Question 2

A light bulb manufacturer claims his light bulbs will last 500 hours on the average.The lifetime of a light bulb is assumed to follow an exponential distribution.
a.What is the probability that the light bulb will have to replaced within 500 hours?
b.What is the probability that the light bulb will last more than 1000 hours?
c.What is the probability that the light bulb will last between 200 and 800 hours?

Accepted Answer

The answer of A light bulb manufacturer claims his light...

Question 3

The weight of a .5 cubic yard bag of landscape mulch in uniformly distributed over the interval from 38.5 to 41.5 pounds.
a.Give a mathematical expression for the probability density function.
b.What is the probability that a bag will weigh more than 40 pounds?
c.What is the probability that a bag will weigh less than 39 pounds?
d.What is the probability that a bag will weigh between 39 and 40 pounds?

Accepted Answer

a.f(x)= 1/3 for 38.5

Question 4

The binomial distribution is appropriate to use to find the probability of the elapsed time between successes.

Accepted Answer

A) True 
 B)False

Question 5

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

a.0498
b.2

Question 6

A random variable that can take on any value along a line segment is a continuous random variable.

Accepted Answer

A) True 
 B)False

Question 7

A video rental store has two video cameras available for customers to rent.Historically,demand for cameras has followed this distribution.The revenue per rental is $40.If a customer wants a camera and none is available,the store gives a $15 coupon for tape rental.
   
a.What is the expected demand?
b.What is the expected revenue?
c.What is the expected cost?
d.What is the expected profit?

Accepted Answer

The answer of A video rental store has two video...

Question 8

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 9

The time it takes to travel from home to the office is normally distributed with $\lambda$ = 25 minutes and  $\sigma$ = 5 minutes.
a.What is the probability the trip takes more than 20 minutes?
b.What is the probability the trip takes less than 15 minutes.
c.What is the probability the trip takes between 30 and 35 minutes?
d.What is the probability the trip takes more than 40 minutes?

Accepted Answer

a.8413
b.0

Question 10

A probability density function

Accepted Answer

A) gives the probability that the random variable equals a specific value of x. 
B) is used for discrete random variables. 
C) describes the graph whose underlying area represents probability over an interval. 
D) each of the above is true. 
A) gives the probability that the random variable equals a specific value of x. 
B) is used for discrete random variables. 
C) describes the graph whose underlying area represents probability over an interval. 
D) each of the above is true.

Question 11

Customers at a popular restaurant that refuses reservations arrive according to the Poisson distribution at a rate of 4 parties every 5 minutes.What is the probability that there will be more than 2 minutes between arriving parties?

Accepted Answer

The answer of Customers at a popular restaurant that refuses...

Question 12

The probability density function matches each value of a continuous random variable with its probability.

Accepted Answer

A) True 
 B)False

Question 13

Suppose that the arrival time for the next bus at a bus stop is uniformly distributed between 1 and 25 minutes.The probability that the bus will arrive within the next 5 minutes is 1/6.

Accepted Answer

A) True 
 B)False

Question 14

In a Poisson probability problem,the rate of errors is one every two hours.To find the probability of three defects in four hours,

Accepted Answer

A) $\lambda$ = 1,x = 4 
B) $\lambda$ = 2,x = 3 
C) $\lambda$ = 3,x = 2 
D) $\lambda$ = 3,x = 6 
A) $\lambda$ = 1,x = 4 
B) $\lambda$ = 2,x = 3 
C) $\lambda$ = 3,x = 2 
D) $\lambda$ = 3,x = 6

Question 15

Which of the following are continuous random variables? I.the weight of an elephant
II)the time to answer a questionnaire
III)the number of floors in a skyscraper
IV)the square feet of countertop in a kitchen

Accepted Answer

A) I and II only 
B) III and IV only 
C) I,II and IV 
D) I,II,II,and IV 
A) I and II only 
B) III and IV only 
C) I,II and IV 
D) I,II,II,and IV

Question 16

When the exponential distribution probability is given as P(x $\le$ 9 )= 1 - e-9/18 the average value for x is

Accepted Answer

A) 18 
B) 9 
C) 9/18 
D) 1/2 
A) 18 
B) 9 
C) 9/18 
D) 1/2

Question 17

A numerical description of the outcome of an experiment is

Accepted Answer

A) a normal variable. 
B) a discrete variable. 
C) a random variable. 
D) an experimental variable. 
A) a normal variable. 
B) a discrete variable. 
C) a random variable. 
D) an experimental variable.

Question 18

For a binomial distribution,compare P(x = 3)when n = 10 and p = .4 to P(x = 7)when n = 10 and p = .6.

Accepted Answer

P(x = 3 | n = 10,p = .4)= 10!

Question 19

Scores on an endurance test for cardiac patients are normally distributed with $\mu$= 182 and  $\sigma$ = 24.
a.What is the probability a patient will score above 190?
b.What percentage of patients score below 170?
c.What score does a patient at the 75th percentile receive?

Accepted Answer

The answer of Scores on an endurance test for cardiac...

Question 20

Experimental outcomes must occur as numerical values in order to define their probability distribution.

Accepted Answer

A) True 
 B)False

The standard normal distribution is a normal distribution with a mean of 1 and a standard deviation of 1/3.

The binomial distribution is appropriate to use to find the probability of the elapsed time between successes.

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

A random variable that can take on any value along a line segment is a continuous random variable.

A probability density function

Customers at a popular restaurant that refuses reservations arrive according to the Poisson distribution at a rate of 4 parties every 5 minutes.What is the probability that there will be more than 2 minutes between arriving parties?

The probability density function matches each value of a continuous random variable with its probability.

Suppose that the arrival time for the next bus at a bus stop is uniformly distributed between 1 and 25 minutes.The probability that the bus will arrive within the next 5 minutes is 1/6.

In a Poisson probability problem,the rate of errors is one every two hours.To find the probability of three defects in four hours,

Which of the following are continuous random variables? I.the weight of an elephant II)the time to answer a questionnaire III)the number of floors in a skyscraper IV)the square feet of countertop in a kitchen

When the exponential distribution probability is given as P(x $\le$ 9 )= 1 - e^-9/18 the average value for x is

A numerical description of the outcome of an experiment is

For a binomial distribution,compare P(x = 3)when n = 10 and p = .4 to P(x = 7)when n = 10 and p = .6.

Scores on an endurance test for cardiac patients are normally distributed with $\mu$ = 182 and $\sigma$ = 24. a.What is the probability a patient will score above 190? b.What percentage of patients score below 170? c.What score does a patient at the 75th percentile receive?

Experimental outcomes must occur as numerical values in order to define their probability distribution.

Introduction

Introduction to Probability

Decision Analysis

Utility and Game Theory

Forecasting

Introduction to Linear Programming

Lp Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications

Distribution and Network Problems

Integer Linear Programming

Advanced Optimization Application

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

Exam 3: Probability Distributions

The standard normal distribution is a normal distribution with a mean of 1 and a standard deviation of 1/3.

The binomial distribution is appropriate to use to find the probability of the elapsed time between successes.

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

A random variable that can take on any value along a line segment is a continuous random variable.

A probability density function

Customers at a popular restaurant that refuses reservations arrive according to the Poisson distribution at a rate of 4 parties every 5 minutes.What is the probability that there will be more than 2 minutes between arriving parties?

The probability density function matches each value of a continuous random variable with its probability.

Suppose that the arrival time for the next bus at a bus stop is uniformly distributed between 1 and 25 minutes.The probability that the bus will arrive within the next 5 minutes is 1/6.

In a Poisson probability problem,the rate of errors is one every two hours.To find the probability of three defects in four hours,

Which of the following are continuous random variables? I.the weight of an elephant II)the time to answer a questionnaire III)the number of floors in a skyscraper IV)the square feet of countertop in a kitchen

When the exponential distribution probability is given as P(x ≤\le≤ 9 )= 1 - e-9/18 the average value for x is

A numerical description of the outcome of an experiment is

For a binomial distribution,compare P(x = 3)when n = 10 and p = .4 to P(x = 7)when n = 10 and p = .6.

Scores on an endurance test for cardiac patients are normally distributed with μ\muμ = 182 and σ\sigmaσ = 24. a.What is the probability a patient will score above 190? b.What percentage of patients score below 170? c.What score does a patient at the 75th percentile receive?

Experimental outcomes must occur as numerical values in order to define their probability distribution.

Introduction

Introduction to Probability

Decision Analysis

Utility and Game Theory

Forecasting

Introduction to Linear Programming

Lp Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications

Distribution and Network Problems

Integer Linear Programming

Advanced Optimization Application

Project Scheduling: Pertcpm

Inventory Models

Waiting Line Models

Simulation

Markov Processes

Filters

When the exponential distribution probability is given as P(x $\le$ 9 )= 1 - e^-9/18 the average value for x is

Scores on an endurance test for cardiac patients are normally distributed with $\mu$ = 182 and $\sigma$ = 24. a.What is the probability a patient will score above 190? b.What percentage of patients score below 170? c.What score does a patient at the 75th percentile receive?