Question 1

If p remains constant in a binomial distribution,an increase in n will not change the mean.

Accepted Answer

A) True 
 B)False

Question 2

The number of 000 calls in Hobart has a Poisson distribution with a mean of 10 calls a day.The probability of seven or eight 000 calls in a day is ________.

Accepted Answer

The answer of The number of 000 calls in Hobart...

Question 3

Instruction 5-5
There are two houses with almost identical characteristics available for investment in two different neighbourhoods with drastically different demographic composition.The anticipated gain in value when the houses are sold in 10 years has the following probability distribution:
Returns
 $$\begin{array} { | c | c | c | } 
\hline \text { Probability } & \text { Neighbourhood A } & \text { Neighbourhood B } \
\hline .25 & - \$ 22,500 & \$ 30,500 \
\hline .40 & \$ 10,000 & \$ 25,000 \
\hline .35 & \$ 40,500 & \$ 10,500 \
\hline
\end{array}$$
-Referring to Instruction 5-5,if you can invest 30% of your money on the house in neighbourhood A and the remaining on the house in neighbourhood B,what is the portfolio risk of your investment?

Accepted Answer

The answer of Instruction 5-5
There are two houses with almost...

Question 4

The number of 000 calls in Hobart has a Poisson distribution with a mean of 10 calls a day.The probability of seven 000 calls in a day is ________.

Accepted Answer

The answer of The number of 000 calls in Hobart...

Question 5

Instruction 5-1
The probability that a particular type of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8.You have 2 such alarms in your home and they operate independently.
-Referring to Instruction 5-1,which distribution would you use to determine the probability that all the smoke alarms will function properly in case of a fire?

Accepted Answer

binomial d

Question 6

The local police department must write,on average,5 tickets a day to keep department revenues at budgeted levels.Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.4 tickets per day.Find the probability that exactly 6 tickets are written on a randomly selected day from this population.

Accepted Answer

The answer of The local police department must write,on average,5...

Question 7

In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The probability that she does not get audited is ________.

Accepted Answer

The answer of In a game called Taxation and Evasion,a...

Question 8

The covariance

Accepted Answer

A) can be positive or negative. 
B) must be less than +1. 
C) must be between -1 and +1. 
D) must be positive. 
A) can be positive or negative. 
B) must be less than +1. 
C) must be between -1 and +1. 
D) must be positive.

Question 9

In a binomial distribution

Accepted Answer

A) the number of trials n must be at least 30. 
B) the random variable X is continuous. 
C) the results of one trial are dependent on the results of the other trials. 
D) the probability of success p is stablefrom trial to trial. 
A) the number of trials n must be at least 30. 
B) the random variable X is continuous. 
C) the results of one trial are dependent on the results of the other trials. 
D) the probability of success p is stablefrom trial to trial.

Question 10

Instruction 5-8
A major airline keeps a record of the number of mishandled bags per 1,000 customers.In 2011,the airline had 4.06 mishandled bags per 1,000 customers.Assume that the number of mishandled bags has a Poisson distribution.
-Referring to Instruction 5-8,what is the probability that in the next 1,000 customers,the airline will have no more than three mishandled bags?

Accepted Answer

The answer of Instruction 5-8
A major airline keeps a record...

Question 11

If X has a binomial distribution with n = 5 and p = 0.1,then P(X = 2)= ________.

Accepted Answer

The answer of If X has a binomial distribution with...

Question 12

In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The variance of the number of times she will be audited is ________.

Accepted Answer

The answer of In a game called Taxation and Evasion,a...

Question 13

Suppose that the number of airplanes arriving at an airport per minute is a Poisson process.The average number of airplanes arriving per minute is 3.The probability that exactly 6 planes arrive in the next minute is 0.0504.

Accepted Answer

A) True 
 B)False

Question 14

The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 6 outages per year.The variance of the number of power outages is ________.

Accepted Answer

The answer of The number of power outages at a...

Question 15

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that more than 3 prefer Brand C is ________.

Accepted Answer

The answer of Suppose that past history shows that 60%...

Question 16

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that at most 2 prefer Brand C is ________.

Accepted Answer

The answer of Suppose that past history shows that 60%...

Question 17

Instruction 5-5
There are two houses with almost identical characteristics available for investment in two different neighbourhoods with drastically different demographic composition.The anticipated gain in value when the houses are sold in 10 years has the following probability distribution:
Returns
 $$\begin{array} { | c | c | c | } 
\hline \text { Probability } & \text { Neighbourhood A } & \text { Neighbourhood B } \
\hline .25 & - \$ 22,500 & \$ 30,500 \
\hline .40 & \$ 10,000 & \$ 25,000 \
\hline .35 & \$ 40,500 & \$ 10,500 \
\hline
\end{array}$$
-Referring to Instruction 5-5,what is the total standard deviation of value gain if you invest in both houses?

Accepted Answer

The answer of Instruction 5-5
There are two houses with almost...

Question 18

Instruction 5-4
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline P ( X ) & 0.10 & 0.20 & 0.45 & 0.15 & 0.05 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5-4,the standard deviation of the number of accidents is ________.

Accepted Answer

The answer of Instruction 5-4
The following table contains the probability...

Question 19

The probability that a particular brand of smoke alarm will malfunction in the presence of smoke is 0.002.A batch of 100,000 such alarms was produced by independent production lines.Which of the following distributions would you use to figure out the probability that at most 5,000 of them will malfunction in case of a fire?

Accepted Answer

A) Binomial distribution. 
B) Poisson distribution. 
C) Hypergeometric distribution. 
D) None of the above. 
A) Binomial distribution. 
B) Poisson distribution. 
C) Hypergeometric distribution. 
D) None of the above.

Question 20

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The average number that you would expect to prefer Brand C is ________.

Accepted Answer

The answer of Suppose that past history shows that 60%...

If p remains constant in a binomial distribution,an increase in n will not change the mean.

The number of 000 calls in Hobart has a Poisson distribution with a mean of 10 calls a day.The probability of seven or eight 000 calls in a day is ________.

The number of 000 calls in Hobart has a Poisson distribution with a mean of 10 calls a day.The probability of seven 000 calls in a day is ________.

In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The probability that she does not get audited is ________.

The covariance

In a binomial distribution

If X has a binomial distribution with n = 5 and p = 0.1,then P(X = 2)= ________.

In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The variance of the number of times she will be audited is ________.

Suppose that the number of airplanes arriving at an airport per minute is a Poisson process.The average number of airplanes arriving per minute is 3.The probability that exactly 6 planes arrive in the next minute is 0.0504.

The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 6 outages per year.The variance of the number of power outages is ________.

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that more than 3 prefer Brand C is ________.

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that at most 2 prefer Brand C is ________.

Instruction 5-4 The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth. X 0 1 2 3 4 5 P(X) 0.10 0.20 0.45 0.15 0.05 0.05 -Referring to Instruction 5-4,the standard deviation of the number of accidents is ________.

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The average number that you would expect to prefer Brand C is ________.

Introduction and Data Collection

Presenting Data in Tables and Charts

Numerical Descriptive Measures

Basic Probability

The Normal Distribution and Other Continuous Distributions

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Hypothesis Testing: Two Sample Tests

Analysis of Variance

Simple Linear Regression

Introduction to Multiple Regression

Time-Series Forecasting and Index Numbers

Chi-Square Tests

Multiple Regression Model Building

Decision Making

Statistical Applications in Quality and Productivity Management

Further Non-Parametric Tests

Filters

Exam 5: Some Important Discrete Probability Distributions

If p remains constant in a binomial distribution,an increase in n will not change the mean.

The number of 000 calls in Hobart has a Poisson distribution with a mean of 10 calls a day.The probability of seven or eight 000 calls in a day is ________.

The number of 000 calls in Hobart has a Poisson distribution with a mean of 10 calls a day.The probability of seven 000 calls in a day is ________.

In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The probability that she does not get audited is ________.

The covariance

In a binomial distribution

If X has a binomial distribution with n = 5 and p = 0.1,then P(X = 2)= ________.

In a game called Taxation and Evasion,a player rolls a pair of dice.If on any turn the sum is 7,11,or 12,the player gets audited.Otherwise,she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The variance of the number of times she will be audited is ________.

Suppose that the number of airplanes arriving at an airport per minute is a Poisson process.The average number of airplanes arriving per minute is 3.The probability that exactly 6 planes arrive in the next minute is 0.0504.

The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 6 outages per year.The variance of the number of power outages is ________.

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that more than 3 prefer Brand C is ________.

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The probability that at most 2 prefer Brand C is ________.

Instruction 5-4 The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth. X 0 1 2 3 4 5 P(X) 0.10 0.20 0.45 0.15 0.05 0.05 -Referring to Instruction 5-4,the standard deviation of the number of accidents is ________.

Suppose that past history shows that 60% of university students prefer Brand C cola.A sample of 5 students is to be selected.The average number that you would expect to prefer Brand C is ________.

Introduction and Data Collection

Presenting Data in Tables and Charts

Numerical Descriptive Measures

Basic Probability

The Normal Distribution and Other Continuous Distributions

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Hypothesis Testing: Two Sample Tests

Analysis of Variance

Simple Linear Regression

Introduction to Multiple Regression

Time-Series Forecasting and Index Numbers

Chi-Square Tests

Multiple Regression Model Building

Decision Making

Statistical Applications in Quality and Productivity Management

Further Non-Parametric Tests

Filters