Question 1

If elements are sampled from a small dichotomous population at random and ______ replacement, the conditions for Bernoulli trials are satisfied.

Accepted Answer

The answer of If elements are sampled from a small...

Question 2

Given that the lower control limit is 0.12 and p0 = .5, find the value of n.

Accepted Answer

A)  5 
B)  11 
C)  16 
D)  Cannot be determined 
A)  5 
B)  11 
C)  16 
D)  Cannot be determined

Question 3

Probability distributions are sample based and then susceptible to variation on different occasions of sampling.

Accepted Answer

A) True 
 B)False

Question 4

About 75% of dog owners buy holiday presents for their dogs. Sup- pose n = 3 dog owners are randomly selected. Use the formula for the binomial distribution to find the probability of:
(a) Two or more buy their dog holiday presents.
(b) At most two buy their dog holiday presents.
(c) Find the expected number of persons, in the sample, who buy their dog holiday presents.

Accepted Answer

(a) .844 (

Question 5

Is the Poisson distribution a suitable approximation for to the binomial distribution with n = 55 and p = .03

Accepted Answer

A) True 
 B)False

Question 6

A junior college student is planning her spring semester; there are six courses available and she must choose four. The courses are:
   
A) Make a list, in alphabetical order, of the outcomes. (Use B, D, E, J, M, and P to denote the five courses).
B) Let Y be the number of courses in Group 2 included.
C) Use the information obtained in (A) and (B) to complete the following table.

Accepted Answer

The answer of A junior college student is planning her...

Question 7

Let X be the number of vowels in 50 words taken at random from a dictionary. If f(2) = .12 , f(3) = .2, f(4) = .15, and f(5) = .17, find f(6).

Accepted Answer

A)  .53 
B)  .48 
C)  .36 
D)  .56 
A)  .53 
B)  .48 
C)  .36 
D)  .56

Question 8

A rent a car company has two types of vehicles: compact (C) and full size (F). For two consecutive months, the manager recorded the type with the highest customer acceptance. List the possible outcomes, in alphabetical order; each outcome must be followed by the number of months that a full size car has the highest acceptance. That is: Letter-Letter Number

Accepted Answer

C-C 0, C-F 1, C-S 0,

Question 9

The probability distribution of X is given by the function
   for x = 2, 3, 4, 5.
Find P[X = 4 ]. Round your answer to two decimal places.

Accepted Answer

The answer of The probability distribution of X is given...

Question 10

John and two of his friends have one-on-one basketball tournaments almost every week. Each person plays each other person once. Let X be the number of games that John wins next week X. Based on the results of the games over the past year, John constructs the following probability distribution for X.
   
Find
(a) The expected number of wins.
(b) The standard deviation of the number of wins.
(c) Explain how John should use the results of previous games to construct the tabled probability distribution.

Accepted Answer

(a) 1 
(b) @#IMG-DLM&.6 = .775
 (c) Use

Question 11

Use the information in the table below to calculate the expected value of x. Round your answer to three decimal places.

Accepted Answer

The answer of Use the information in the table below...

Question 12

In Bernoulli Trials, if P(S) = p, then P(F) = 1 - p.

Accepted Answer

A) True 
 B)False

Question 13

You are traveling to Stockholm, Sweden next month when the average temperature is -1.5 degrees Celsius. Treating this as the expected value of a random variable X, use the properties of expectation to determine the expected value of this temperature, Y , in degrees Fahrenheit. Recall that

Accepted Answer

29.3 degre

Question 14

Given the following probability distribution, find:
   
A) E(X)
B) $\sigma$2
C) $\sigma$

Accepted Answer

Part A: 4.

Question 15

Is the model of Bernoulli trials plausible in the following situation?
Students in a literature course must read a book, the time spent reading the book is recorded.

Accepted Answer

The answer of Is the model of Bernoulli trials plausible...

Question 16

Consider Bernoulli trials with success probability p = 0.7.
A) Find the probability that three trials result in all failures.
B) Find the probability that the first failure occurs in the third trial.
Round your answer to three decimal places.

Accepted Answer

Part A:
.0

Question 17

Calculate the variance of the distribution of X

Accepted Answer

A)  2.08 
B)  2.16 
C)  2.3 
D)  2.36 
A)  2.08 
B)  2.16 
C)  2.3 
D)  2.36

Question 18

The events corresponding to the distinct values of a random variable X are incompatible.

Accepted Answer

A) True 
 B)False

Question 19

Suppose 30% of the urban population is 18 years old or younger. Five residents of that city are selected at random; find the probability that two of the selected five persons are 18 years old or younger.

Accepted Answer

A)  .13 
B)  .18 
C)  .26 
D)  .31 
A)  .13 
B)  .18 
C)  .26 
D)  .31

Question 20

Consider a Poisson random variable with rate parameter m = 4. Find its:
(a) Mean
(b) Variance
(c) Standard Deviation

Accepted Answer

The answer of Consider a Poisson random variable with rate...

If elements are sampled from a small dichotomous population at random and ______ replacement, the conditions for Bernoulli trials are satisfied.

Given that the lower control limit is 0.12 and p₀ = .5, find the value of n.

Probability distributions are sample based and then susceptible to variation on different occasions of sampling.

Is the Poisson distribution a suitable approximation for to the binomial distribution with n = 55 and p = .03

Let X be the number of vowels in 50 words taken at random from a dictionary. If f(2) = .12 , f(3) = .2, f(4) = .15, and f(5) = .17, find f(6).

The probability distribution of X is given by the function for x = 2, 3, 4, 5. Find P[X = 4 ]. Round your answer to two decimal places.

Use the information in the table below to calculate the expected value of x. Round your answer to three decimal places.

In Bernoulli Trials, if P(S) = p, then P(F) = 1 - p.

You are traveling to Stockholm, Sweden next month when the average temperature is -1.5 degrees Celsius. Treating this as the expected value of a random variable X, use the properties of expectation to determine the expected value of this temperature, Y , in degrees Fahrenheit. Recall that

Given the following probability distribution, find: $Given the following probability distribution, find: A) E(X) B) \sigma <sup>2</sup> C) \sigma$ A) E(X) B) $\sigma$ ² C) $\sigma$

Is the model of Bernoulli trials plausible in the following situation? Students in a literature course must read a book, the time spent reading the book is recorded.

Consider Bernoulli trials with success probability p = 0.7. A) Find the probability that three trials result in all failures. B) Find the probability that the first failure occurs in the third trial. Round your answer to three decimal places.

Calculate the variance of the distribution of X

The events corresponding to the distinct values of a random variable X are incompatible.

Suppose 30% of the urban population is 18 years old or younger. Five residents of that city are selected at random; find the probability that two of the selected five persons are 18 years old or younger.

Consider a Poisson random variable with rate parameter m = 4. 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

If elements are sampled from a small dichotomous population at random and ______ replacement, the conditions for Bernoulli trials are satisfied.

Given that the lower control limit is 0.12 and p0 = .5, find the value of n.

Probability distributions are sample based and then susceptible to variation on different occasions of sampling.

Is the Poisson distribution a suitable approximation for to the binomial distribution with n = 55 and p = .03

Let X be the number of vowels in 50 words taken at random from a dictionary. If f(2) = .12 , f(3) = .2, f(4) = .15, and f(5) = .17, find f(6).

The probability distribution of X is given by the function for x = 2, 3, 4, 5. Find P[X = 4 ]. Round your answer to two decimal places.

Use the information in the table below to calculate the expected value of x. Round your answer to three decimal places.

In Bernoulli Trials, if P(S) = p, then P(F) = 1 - p.

You are traveling to Stockholm, Sweden next month when the average temperature is -1.5 degrees Celsius. Treating this as the expected value of a random variable X, use the properties of expectation to determine the expected value of this temperature, Y , in degrees Fahrenheit. Recall that

Given the following probability distribution, find: A) E(X) B) σ\sigmaσ 2 C) σ\sigmaσ

Is the model of Bernoulli trials plausible in the following situation? Students in a literature course must read a book, the time spent reading the book is recorded.

Consider Bernoulli trials with success probability p = 0.7. A) Find the probability that three trials result in all failures. B) Find the probability that the first failure occurs in the third trial. Round your answer to three decimal places.

Calculate the variance of the distribution of X

The events corresponding to the distinct values of a random variable X are incompatible.

Suppose 30% of the urban population is 18 years old or younger. Five residents of that city are selected at random; find the probability that two of the selected five persons are 18 years old or younger.

Consider a Poisson random variable with rate parameter m = 4. 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 the lower control limit is 0.12 and p₀ = .5, find the value of n.

Given the following probability distribution, find: $Given the following probability distribution, find: A) E(X) B) \sigma <sup>2</sup> C) \sigma$ A) E(X) B) $\sigma$ ² C) $\sigma$