\[\begin{array}{l} \text { Give the variance of the following distribution? }\\ \begin{array} { l | c c c c c } \boldsymbol { X } & 0 & 1 & 2 & 3 & 4 \\ \hline \boldsymbol { P } ( \boldsymbol { X } ) & 0.20 & 0.35 & 0.10 & 0.25 & 0.10 \end{array} \end{array}\]

A) 1.31 B) 1.83 C) 1.25 D) 1.71 A) 1.31 B) 1.83 C) 1.25 D) 1.71

\[\begin{array}{l} \text { For the following data, construct a graph showing the probability distribution. }\\ \begin{array} { l | c c c c c } \boldsymbol { X } & 0 & 1 & 2 & 3 & 4 \\ \hline \boldsymbol { P } ( \boldsymbol { X } ) & 0.35 & 0.25 & 0.20 & 0.15 & 0.05 \end{array} \end{array}\]

The answer of \[\begin{array}{l} \text { For the following data, construct...

Use the multinomial formula and find the probability for the following data. \[\begin{array} { l } n = 8 , X _ { 1 } = 4 , X _ { 2 } = 3 , X _ { 3 } = 1 , \\ p _ { 1 } = 0.30 , p _ { 2 } = 0.50 , p _ { 3 } = 0.20 \end{array}\]

A) 0.095 B) 0.333 C) 0.851 D) 0.057 A) 0.095 B) 0.333 C) 0.851 D) 0.057

\[\begin{array}{l} \text { Give the mean of the following probability distribution. }\\ \begin{array} { l | c c c c } \boldsymbol { X } & 2 & 3 & 4 & 5 \\ \hline \boldsymbol { P } ( \boldsymbol { X } ) & 0.50 & 0.25 & 0.15 & 0.10 \end{array} \end{array}\]

A) 1.28 B) 0.25 C) 2.85 D) 3.50 A) 1.28 B) 0.25 C) 2.85 D) 3.50

Exam 5: Discrete Probability Distributions

A university has 10,000 students of which 35% are male and 65% are female. If a class of 30 students is chosen at random from the university population, find the mean and Variance of the number of male students.

(Multiple Choice)

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Question 21

It is estimated that 30% of households own a riding lawn mower. A sample of 14 households is studied. What is the standard deviation of the number of households who Own a riding lawn mower?

(Multiple Choice)

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Question 22

The following table presents the probability distribution of the number of vacations taken last year for a randomly chosen family. Compute the standard deviation $\sigma$ . x 0 1 2 3 4 P(x) 0.06 0.67 0.18 0.07 0.02

(Multiple Choice)

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Question 23

The following table presents the probability distribution of the number of vacations $X$ taken last year for a randomly chosen family. Find $P$ ( 1 or more). x 0 1 2 3 4 P(x) 0.05 0.69 0.16 0.08 0.02

(Multiple Choice)

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Question 24

A student takes a 18-question, multiple-choice exam with four choices for each question and guesses on each question. Find the probability of guessing exactly 7 out of 18 Correctly.

(Multiple Choice)

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Question 25

If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this Game?

(Multiple Choice)

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Question 26

The sum of the probabilities of all the events in the sample space of a probability distribution must equal 1.

(True/False)

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Question 27

Give the variance of the following distribution? 0 1 2 3 4 ( ) 0.20 0.35 0.10 0.25 0.10

(Multiple Choice)

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Question 28

Find the mean for the values of $n$ and $p$ when the conditions for the binomial distribution met. $n = 600 , p = 0.35$ e

(Multiple Choice)

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Question 29

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 19 adult dogs is studied. What is the mean number of dogs who weigh 65 lb or more?

(Multiple Choice)

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Question 30

For the following data, construct a graph showing the probability distribution. 0 1 2 3 4 ( ) 0.35 0.25 0.20 0.15 0.05

(Essay)

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Question 31

In binomial experiments, each trial can be viewed as having only two outcomes.

(True/False)

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Question 32

Determine whether the table represents a discrete probability distribution. x P(x) 1 0.45 2 0.2 3 0.4 4 -0.05

(Multiple Choice)

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Question 33

Find the standard deviation for the values of $n$ and $p$ when the conditions for the binomial distribution are met. $n = 500 , p = 0.8$

(Multiple Choice)

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Question 34

An environmental scientist obtains a sample of water from an irrigation canal that contains a certain type of bacteria at a concentration of 3 per milliliter. What is the Probability that there will be exactly 8 bacteria in a 6-milliliter sample?

(Multiple Choice)

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Question 35

A certain large manufacturing facility produces 20,000 parts each week. The manager of the facility estimates that about 1% of the parts they make are defective. What is the Variance for the number of defective parts made each week?

(Multiple Choice)

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Question 36

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. N = 11, p = 0.7, P(9)

(Multiple Choice)

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Question 37

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 18 adult dogs is studied. What is the probability that no more than 3 of them weigh 65 Lb or more?

(Multiple Choice)

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Question 38

Use the multinomial formula and find the probability for the following data. n=8,=4,=3,=1, =0.30,=0.50,=0.20

(Multiple Choice)

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Question 39

Give the mean of the following probability distribution. 2 3 4 5 ( ) 0.50 0.25 0.15 0.10

(Multiple Choice)

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Question 40

A university has 10,000 students of which 35% are male and 65% are female. If a class of 30 students is chosen at random from the university population, find the mean and Variance of the number of male students.

It is estimated that 30% of households own a riding lawn mower. A sample of 14 households is studied. What is the standard deviation of the number of households who Own a riding lawn mower?

The following table presents the probability distribution of the number of vacations taken last year for a randomly chosen family. Compute the standard deviation $\sigma$ . x 0 1 2 3 4 P(x) 0.06 0.67 0.18 0.07 0.02

The following table presents the probability distribution of the number of vacations $X$ taken last year for a randomly chosen family. Find $P$ ( 1 or more). x 0 1 2 3 4 P(x) 0.05 0.69 0.16 0.08 0.02

A student takes a 18-question, multiple-choice exam with four choices for each question and guesses on each question. Find the probability of guessing exactly 7 out of 18 Correctly.

If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this Game?

The sum of the probabilities of all the events in the sample space of a probability distribution must equal 1.

Give the variance of the following distribution? 0 1 2 3 4 ( ) 0.20 0.35 0.10 0.25 0.10

Find the mean for the values of $n$ and $p$ when the conditions for the binomial distribution met. $n = 600 , p = 0.35$ e

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 19 adult dogs is studied. What is the mean number of dogs who weigh 65 lb or more?

For the following data, construct a graph showing the probability distribution. 0 1 2 3 4 ( ) 0.35 0.25 0.20 0.15 0.05

In binomial experiments, each trial can be viewed as having only two outcomes.

Determine whether the table represents a discrete probability distribution. x P(x) 1 0.45 2 0.2 3 0.4 4 -0.05

Find the standard deviation for the values of $n$ and $p$ when the conditions for the binomial distribution are met. $n = 500 , p = 0.8$

An environmental scientist obtains a sample of water from an irrigation canal that contains a certain type of bacteria at a concentration of 3 per milliliter. What is the Probability that there will be exactly 8 bacteria in a 6-milliliter sample?

A certain large manufacturing facility produces 20,000 parts each week. The manager of the facility estimates that about 1% of the parts they make are defective. What is the Variance for the number of defective parts made each week?

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. N = 11, p = 0.7, P(9)

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 18 adult dogs is studied. What is the probability that no more than 3 of them weigh 65 Lb or more?

Use the multinomial formula and find the probability for the following data. n=8,=4,=3,=1, =0.30,=0.50,=0.20

Give the mean of the following probability distribution. 2 3 4 5 ( ) 0.50 0.25 0.15 0.10

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 5: Discrete Probability Distributions

A university has 10,000 students of which 35% are male and 65% are female. If a class of 30 students is chosen at random from the university population, find the mean and Variance of the number of male students.

It is estimated that 30% of households own a riding lawn mower. A sample of 14 households is studied. What is the standard deviation of the number of households who Own a riding lawn mower?

The following table presents the probability distribution of the number of vacations taken last year for a randomly chosen family. Compute the standard deviation σ\sigmaσ . x 0 1 2 3 4 P(x) 0.06 0.67 0.18 0.07 0.02

The following table presents the probability distribution of the number of vacations XXX taken last year for a randomly chosen family. Find PPP ( 1 or more). x 0 1 2 3 4 P(x) 0.05 0.69 0.16 0.08 0.02

A student takes a 18-question, multiple-choice exam with four choices for each question and guesses on each question. Find the probability of guessing exactly 7 out of 18 Correctly.

If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expectation of this Game?

The sum of the probabilities of all the events in the sample space of a probability distribution must equal 1.

Give the variance of the following distribution? 0 1 2 3 4 ( ) 0.20 0.35 0.10 0.25 0.10

Find the mean for the values of nnn and ppp when the conditions for the binomial distribution met. n=600,p=0.35n = 600 , p = 0.35n=600,p=0.35 e

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 19 adult dogs is studied. What is the mean number of dogs who weigh 65 lb or more?

For the following data, construct a graph showing the probability distribution. 0 1 2 3 4 ( ) 0.35 0.25 0.20 0.15 0.05

In binomial experiments, each trial can be viewed as having only two outcomes.

Determine whether the table represents a discrete probability distribution. x P(x) 1 0.45 2 0.2 3 0.4 4 -0.05

Find the standard deviation for the values of nnn and ppp when the conditions for the binomial distribution are met. n=500,p=0.8n = 500 , p = 0.8n=500,p=0.8

An environmental scientist obtains a sample of water from an irrigation canal that contains a certain type of bacteria at a concentration of 3 per milliliter. What is the Probability that there will be exactly 8 bacteria in a 6-milliliter sample?

A certain large manufacturing facility produces 20,000 parts each week. The manager of the facility estimates that about 1% of the parts they make are defective. What is the Variance for the number of defective parts made each week?

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. N = 11, p = 0.7, P(9)

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. A sample Of 18 adult dogs is studied. What is the probability that no more than 3 of them weigh 65 Lb or more?

Use the multinomial formula and find the probability for the following data. n=8,=4,=3,=1, =0.30,=0.50,=0.20

Give the mean of the following probability distribution. 2 3 4 5 ( ) 0.50 0.25 0.15 0.10

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Correlation and Regression

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

The following table presents the probability distribution of the number of vacations taken last year for a randomly chosen family. Compute the standard deviation $\sigma$ . x 0 1 2 3 4 P(x) 0.06 0.67 0.18 0.07 0.02

The following table presents the probability distribution of the number of vacations $X$ taken last year for a randomly chosen family. Find $P$ ( 1 or more). x 0 1 2 3 4 P(x) 0.05 0.69 0.16 0.08 0.02

Find the mean for the values of $n$ and $p$ when the conditions for the binomial distribution met. $n = 600 , p = 0.35$ e

Find the standard deviation for the values of $n$ and $p$ when the conditions for the binomial distribution are met. $n = 500 , p = 0.8$