Question 1

Given that n = 25 and p0 = .35, find:
A) The lower control limit.
B) The upper control limit.

Accepted Answer

Part A: .064
Part B: .636

Question 2

A shooting athlete using a shotgun has an 81% chance of success (shot on target). Let X denote the number of successes in the next six rounds. Assuming the results for different rounds are independent, calculate P[X = 3 or 5]. Round your answer to two decimal places.

Accepted Answer

.47

Question 3

The probability of red coming up on a roulette wheel that has 18 red, 18 black, and 2 green slots is 18/38 or about .474. If you bet on red a large number of times, what proportion of times will you win. Explain your reasoning.

Accepted Answer

After many repeats of an experiment, here a spin of the roulette wheel, the relative frequency of the event [ Red] will approach the probability .474.

Question 4

The manager of a satellite TV service states that the rate of
interruption of services is .4 per month. Use the Poisson distribution in Table 3 of Appendix A to find
(a) Zero interruptions in one month.
(b) One or more interruptions in one month.
(c) Exact two interruptions in 3 consecutive months.

Accepted Answer

(a) .670 (

Question 5

The accompanying table shows the percentages of students in the state university system when classified according to gender and status as residents of that state.
   Suppose that a selection of a person is considered a trial and it is a success when the person selected is a resident of that state.
Two males and two females are selected at random. What is the probability that none is a state resident? Round your answer to three decimal places.

Accepted Answer

The answer of The accompanying table shows the percentages of...

Question 6

The accompanying table shows the percentages of students in the state university system when classified according to gender and status as residents of that state.
   Suppose that a selection of a person is considered a trial and it is a success when the person selected is a resident of that state.
Three persons are selected at random. What is the probability that none is a state resident? Round your answer to three decimal places.

Accepted Answer

The answer of The accompanying table shows the percentages of...

Question 7

Each of the judges in a popular dancing contest assign point from 3 through 5 to each participating couple. Let X be the sum of the two scores assigned to a particular couple. List the possible values for the sum of the two scores and also the pairs of scores that result in that sum.

Accepted Answer

The answer of Each of the judges in a popular...

Question 8

Let X be the number of vowels used in the name of each U.S. state. Use the following table to calculate:
A) 
   
B)

Accepted Answer

Part A: 1.

Question 9

Determine how many of the following are a legitimate probability distribution.

Accepted Answer

A)  0 
B)  3 
C)  1 
D)  2 
A)  0 
B)  3 
C)  1 
D)  2

Question 10

Use the Poisson Table (Appendix A, Table 3) to find P [ X $\ge$ 4] for rate parameter m = 2.4

Accepted Answer

A)  .779 
B)  0.430 
C)  .221 
D)  .096 
A)  .779 
B)  0.430 
C)  .221 
D)  .096

Question 11

A random variable can be ______ or continuous.

Accepted Answer

The answer of A random variable can be ______ or...

Question 12

If p is the probability of success and q = 1 - p, then the probability distribution of X for four Bernoulli trials is:

Accepted Answer

A) True 
 B)False

Question 13

Use the Bernoulli Table (Appendix B, Table 2) to find P[X$\ge$6] for n = 8 and p = 0.7.

Accepted Answer

A)  .255 
B)  .745 
C)  .265 
D)  .735 
A)  .255 
B)  .745 
C)  .265 
D)  .735

Question 14

Given the following probability distribution for a random variable X,
   
Find
(a) E ( X )
(b) $\sigma$2 = Var ( X )
(c) standard deviation of X.

Accepted Answer

(a) 1 
(b)

Question 15

Identify each of the following as a discrete or continuous random variable.
Distance traveled for a migrating bird.

Accepted Answer

The answer of Identify each of the following as a...

Question 16

Let the random variable X represent the sum of points in a tile taken from the dominoes set shown below.
   What is the probability of 9? Write your answer as a fraction reduced to lowest terms.

Accepted Answer

The answer of Let the random variable X represent the...

Question 17

Your scores (0-50) in the six homework assignments for a course are: 46 $\quad $ 46 $\quad $ 46  $\quad $50  $\quad $50  $\quad $50. The instructor will add the scores of two randomly selected assignment, this number will be your homework grade. Let X denote the sum of the scores of the two selected assignment. Complete the following table of probability distribution of X. Round the probabilities to two decimal places when necessary.

Accepted Answer

The answer of Your scores (0-50) in the six homework...

Question 18

A cookie jar contains 42 cookies of which 10 are oatmeal, 18 are sugar, and 14 are macaroon. Consider 5 successive draws of one cookie from the jar and suppose the selected cookie is returned to the jar. If the appearance of an oatmeal cookie is the event of interest, determine the numerical value of p. Round your answer to two decimal places

Accepted Answer

The answer of A cookie jar contains 42 cookies of...

Question 19

Find the probability of 5 successes in 7 Bernoulli trials with success probability 0.7 for each trial. Round your answer to three decimal places.

Accepted Answer

The answer of Find the probability of 5 successes in...

Question 20

Consider the binomial distribution with 17 trials and success probability 0.68. Find its:
A) Mean
B) Variance
C) Standard Deviation

Accepted Answer

Part A: 11

Given that n = 25 and p₀ = .35, find: A) The lower control limit. B) The upper control limit.

A shooting athlete using a shotgun has an 81% chance of success (shot on target). Let X denote the number of successes in the next six rounds. Assuming the results for different rounds are independent, calculate P[X = 3 or 5]. Round your answer to two decimal places.

The probability of red coming up on a roulette wheel that has 18 red, 18 black, and 2 green slots is 18/38 or about .474. If you bet on red a large number of times, what proportion of times will you win. Explain your reasoning.

The manager of a satellite TV service states that the rate of interruption of services is .4 per month. Use the Poisson distribution in Table 3 of Appendix A to find (a) Zero interruptions in one month. (b) One or more interruptions in one month. (c) Exact two interruptions in 3 consecutive months.

Each of the judges in a popular dancing contest assign point from 3 through 5 to each participating couple. Let X be the sum of the two scores assigned to a particular couple. List the possible values for the sum of the two scores and also the pairs of scores that result in that sum.

Let X be the number of vowels used in the name of each U.S. state. Use the following table to calculate: A) B)

Determine how many of the following are a legitimate probability distribution.

Use the Poisson Table (Appendix A, Table 3) to find P [ X $\ge$ 4] for rate parameter m = 2.4

A random variable can be ______ or continuous.

If p is the probability of success and q = 1 - p, then the probability distribution of X for four Bernoulli trials is:

Use the Bernoulli Table (Appendix B, Table 2) to find P[X $\ge$ 6] for n = 8 and p = 0.7.

Given the following probability distribution for a random variable X, $Given the following probability distribution for a random variable X, Find (a) E ( X ) (b) \sigma <sup>2</sup> = Var ( X ) (c) standard deviation of X.$ Find (a) E ( X ) (b) $\sigma$ ² = Var ( X ) (c) standard deviation of X.

Identify each of the following as a discrete or continuous random variable. Distance traveled for a migrating bird.

Find the probability of 5 successes in 7 Bernoulli trials with success probability 0.7 for each trial. Round your answer to three decimal places.

Consider the binomial distribution with 17 trials and success probability 0.68. Find its: A) Mean B) Variance C) Standard Deviation

Introduction to Statistics

Organization and Description of Data

Descriptive Study of Bivariate Data

Probability

The Normal Distribution

Variation in Repeated Samplessampling Distributions

Drawing Inferences From Large Samples

Small Sample Inferences for Normal Populations

Comparing Two Treatments

Regression Analysis I

Regression Analysis II Multiple Linear Regression and Other Topics

Analysis of Categorical Data

Analysis of Variance Anova

Nonparametric Inference

Filters

Exam 5: Probability Distributions

Given that n = 25 and p0 = .35, find: A) The lower control limit. B) The upper control limit.

A shooting athlete using a shotgun has an 81% chance of success (shot on target). Let X denote the number of successes in the next six rounds. Assuming the results for different rounds are independent, calculate P[X = 3 or 5]. Round your answer to two decimal places.

The probability of red coming up on a roulette wheel that has 18 red, 18 black, and 2 green slots is 18/38 or about .474. If you bet on red a large number of times, what proportion of times will you win. Explain your reasoning.

The manager of a satellite TV service states that the rate of interruption of services is .4 per month. Use the Poisson distribution in Table 3 of Appendix A to find (a) Zero interruptions in one month. (b) One or more interruptions in one month. (c) Exact two interruptions in 3 consecutive months.

Each of the judges in a popular dancing contest assign point from 3 through 5 to each participating couple. Let X be the sum of the two scores assigned to a particular couple. List the possible values for the sum of the two scores and also the pairs of scores that result in that sum.

Let X be the number of vowels used in the name of each U.S. state. Use the following table to calculate: A) B)

Determine how many of the following are a legitimate probability distribution.

Use the Poisson Table (Appendix A, Table 3) to find P [ X ≥\ge≥ 4] for rate parameter m = 2.4

A random variable can be ______ or continuous.

If p is the probability of success and q = 1 - p, then the probability distribution of X for four Bernoulli trials is:

Use the Bernoulli Table (Appendix B, Table 2) to find P[X ≥\ge≥ 6] for n = 8 and p = 0.7.

Given the following probability distribution for a random variable X, Find (a) E ( X ) (b) σ\sigmaσ 2 = Var ( X ) (c) standard deviation of X.

Identify each of the following as a discrete or continuous random variable. Distance traveled for a migrating bird.

Let the random variable X represent the sum of points in a tile taken from the dominoes set shown below. What is the probability of 9? Write your answer as a fraction reduced to lowest terms.

Find the probability of 5 successes in 7 Bernoulli trials with success probability 0.7 for each trial. Round your answer to three decimal places.

Consider the binomial distribution with 17 trials and success probability 0.68. Find its: A) Mean B) Variance C) Standard Deviation

Introduction to Statistics

Organization and Description of Data

Descriptive Study of Bivariate Data

Probability

The Normal Distribution

Variation in Repeated Samplessampling Distributions

Drawing Inferences From Large Samples

Small Sample Inferences for Normal Populations

Comparing Two Treatments

Regression Analysis I

Regression Analysis II Multiple Linear Regression and Other Topics

Analysis of Categorical Data

Analysis of Variance Anova

Nonparametric Inference

Filters

Given that n = 25 and p₀ = .35, find: A) The lower control limit. B) The upper control limit.

Use the Poisson Table (Appendix A, Table 3) to find P [ X $\ge$ 4] for rate parameter m = 2.4

Use the Bernoulli Table (Appendix B, Table 2) to find P[X $\ge$ 6] for n = 8 and p = 0.7.

Given the following probability distribution for a random variable X, $Given the following probability distribution for a random variable X, Find (a) E ( X ) (b) \sigma <sup>2</sup> = Var ( X ) (c) standard deviation of X.$ Find (a) E ( X ) (b) $\sigma$ ² = Var ( X ) (c) standard deviation of X.