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In: Statistics and Probability

Question 13.5 pts Using the following data coming from the population find mean. 1, 1, 1,...

Question 13.5 pts

Using the following data coming from the population find mean.

1, 1, 1, 11, -9

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Question 23.5 pts

Using the following data coming from the population find variance.

1, 1, 1, 11, -9

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Question 33.5 pts

Using the following data coming from the sample find variance.

1, 1, 1, 11, -9

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Question 43.5 pts

Using the following data coming from the population find standard deviation.

1, 1, 1, 11, -9

Round your answer to the nearest hundredths.

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Question 53.5 pts

Using the following data coming from the population find its mode.

3, 3 ,7,-2, 0, 1

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Question 63.5 pts

Using the following data coming from the population find its median..

3, 3 ,7,-2, 0, 1

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Question 73.6 pts

What is the sample space of the following experiment?

You are tossing a coin 4 times and recording if total number of heads (in all tosses) is even or odd.

Give your answer using set notation, i.e. list all elements of the sample space in braces {} and separate them with a comma. Do not include spaces.

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Question 83.6 pts

How many elements are in the following sample space?

You are rolling a die 2 times and recording the sum of two numbers you rolled.

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Question 93.5 pts

What is the sample space of the following experiment?

You are selecting a ball from a jar with 4 red, 5 blue, and 6 green balls. You record its color.

Give your answer using set notation, i.e. list all elements of the sample space in braces {} and separate them with a comma. Do not include spaces.

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Question 103.6 pts

. Based on the following tabled answer the question below.

male

female

child

3

2

adult

1

4

We select randomly one person from the group. Find the probability that it is a child. Write your answer as a decimal.

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Question 113.6 pts

Based on the following tabled answer the question below.

male

female

child

3

2

adult

1

4

We select randomly one person from the group. Find the probability that it is a child OR a female. Write your answer as a decimal.

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Question 123.6 pts

Based on the following tabled answer the question below.

male

female

child

3

2

adult

1

4

We select randomly one person from the group. Find the probability that it is a child AND a female. Write your answer as a decimal.

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Question 133.6 pts

ased on the following tabled answer the question below.

male

female

child

3

2

adult

1

4

We select randomly one person from the group. Find the probability that it is a child given that it is a male. Write your answer as a decimal.

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Question 143.6 pts

A card is drawn from a standard deck of 52 cards and the result is recorded.What is the probability that a king is drawn?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 153.6 pts

A card is drawn from a standard deck of 52 cards and the result is recorded.What is the probability that a king OR black card is drawn?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 163.6 pts

A card is drawn from a standard deck of 52 cards and the result is recorded.What is the probability that a king is drawn given that we know that a red card was drawn?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 173.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer. Two shirts are selected in a row with replacement. What is the probability that both are red?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 183.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer. Two shirts are selected in a row without replacement. What is the probability that both are red?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 193.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer. One shirt is selected and returned to the drawer and then the second shirt is selected. What is the probability that one is blue and one is green?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 203.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer. Two shirts are selected in a row without the replacement. What is the probability that the second one is red given that the first one blue?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 213.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer.A shirt is selected and returned to the drawer and then the second shirt is selected. What is the probability that both are of the same color?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 223.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer. A shirt is selected and returned to the drawer and then the second shirt is selected. What is the probability that the second one is red given that the first one blue?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 233.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer. A shirt is selected and returned to the drawer and then the second shirt is selected. What is the probability that at least one green shirt will be selected?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 243.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer. A shirt is selected and then, without replacement, the second shirt is selected. What is the probability that at least one red shirt will be selected?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 253.6 pts

There are 10 red, 5 blue and 3 green shirts in a drawer. A shirt is selected and returned to the drawer and then the second shirt is selected. What is the probability that the shirts are of different color?

Write your answer as a fraction,in the form a/b, for example 3/7. PLEASE reduce your fraction.

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Question 263.6 pts

A committee of eight people must choose a president, a vice president, and a secretary. In how many ways can this be done?

Solutions

Expert Solution

Q 13.5)

Sum of the observations = 1 + 1 + 1 + 11 + (-9) = 5

Number of observations = 5

Coming from the population , mean = (sum of observations / number of observations) = 5 /5 = 1

Question 23.5 pts

Here

n = 5

mean = 1

  

  

  

= 40

Question 33.5 pts

Here

n = 5

mean = 1

  

= 50

Question 43.5 pts

Here

Population variance = 40

Population standard deviation = = = 6.3246 6.32

Question 53.5 pts

3, 3 ,7,-2, 0, 1

Mode = most frequent value

The value 3 is repeated two times.

Mode = 3

Question 63.5 pts

3, 3 ,7,-2, 0, 1

Here

n = 6 (even)

The data in ascending order are as follows:

-2, 0, 1, 3, 3 , 7

= 2

Question 73.6 pts

Number of heads Sample space
0 {T,T,T,T}
1 {H,T,T,T}
2 {H,H,T,T}
3 {H,H,H,T}
4 {H,H,H,H}

  


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