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18. Value of X 0 1 2 3 or more Probability 0.60 0.35 0.04 0.01 What is P (X < 2)

ID: 3175226 • Letter: 1

Question

18.

Value of X

0

1

2

3 or more

Probability

0.60

0.35

0.04

0.01


What is P(X < 2)?

0.35

19.

Number of free throws made

0

1

2

Probability

0.09

0.42

0.49


The probability that she makes at least one free throw is expressed as:

P(X < 1).

20.

Number of free throws made

0

1

2

Probability

0.09

0.42

0.49


The probability that she makes at least one free throw is:

Color

Brown

Red

Yellow

Green

Blue

Orange

Frequency

8

4

10

7

11

11


The variable color is:

Color

Brown

Red

Yellow

Green

Blue

Orange

Frequency

8

4

10

7

11

11


Over the long run, what is the probability that the first M&M you select from a bag will be either green or red?

Color

Brown

Red

Yellow

Green

Blue

Orange

Frequency

8

4

10

7

11

11


Over the long run, you know that the probability of selecting a blue or an orange M&M will be 44% because these outcomes are:

3/4.

22.

Management for a chain of restaurants recorded the number of appetizers, X, ordered by tables dining. They observed that X had the following probability distribution:

Value of X

0

1

2

3 or more

Probability

0.60

0.35

0.04

0.01


What is P(X < 2)?

0.60 0.95 0.04

0.35

19.

A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. The probability distribution for the number of free throws she makes in two attempts is summarized in the following table:

Number of free throws made

0

1

2

Probability

0.09

0.42

0.49


The probability that she makes at least one free throw is expressed as:

P(X 1). P(X > 1). P(X 1).

P(X < 1).

20.

A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. The probability distribution for the number of free throws she makes in two attempts is summarized in the following table:

Number of free throws made

0

1

2

Probability

0.09

0.42

0.49


The probability that she makes at least one free throw is:

1.00. 0.91. 0.67. 0.95. 21.

The probability density of a random variable X is given in the following figure.



The probability that X is at least 0.5 is:

1/2. 1/4. 0. 3/4. 22. The density curve for a continuous random variable X has which property? The probability of any event of the form X = constant is 0. The total area under the density curve for X must be exactly 1. The probability of any event is the area under the density curve and above the values of X that make up the event. All of the answer choices are correct. 23. The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 21 and standard deviation 10.

The value of P(X < 10) is: 0. 0.1357. 0.8643. 0.7433. 24. The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 21 and standard deviation 10.

If a January day in Columbus is randomly selected, what is the probability that the high temperature is between 15 and 25 degrees? almost 1 0.2743 0.3811 0.6554 25. The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 21 and standard deviation 10.

You have lived in Columbus for more than 20 years and know that there is at least a 75% chance of a high temperature above freezing on a particular January day. This is an example of: a random variable. a sample space. the addition rule for disjoint events. a personal probability. 26. According to M&Ms Web site, each package of the milk chocolate candies typically contain 14% brown, 13% red, 14% yellow, 16% green, 24% blue, and 20% orange M&Ms. You go to the store and buy a standard-sized package. When you open it, you find that it contains 51 M&Ms, distributed as follows:

Color

Brown

Red

Yellow

Green

Blue

Orange

Frequency

8

4

10

7

11

11


The variable color is:

quantitative. discrete. continuous. None of the answer choices is correct. 27. According to M&Ms Web site, each package of the milk chocolate candies typically contain 14% brown, 13% red, 14% yellow, 16% green, 24% blue, and 20% orange M&Ms. You go to the store and buy a standard-sized package. When you open it, you find that it contains 51 M&Ms, distributed as follows:

Color

Brown

Red

Yellow

Green

Blue

Orange

Frequency

8

4

10

7

11

11


Over the long run, what is the probability that the first M&M you select from a bag will be either green or red?

0.290 0.021 0.215 0.011 28. According to M&Ms Web site, each package of the milk chocolate candies typically contain 14% brown, 13% red, 14% yellow, 16% green, 24% blue, and 20% orange M&Ms. You go to the store and buy a standard-sized package. When you open it, you find that it contains 51 M&Ms, distributed as follows:

Color

Brown

Red

Yellow

Green

Blue

Orange

Frequency

8

4

10

7

11

11


Over the long run, you know that the probability of selecting a blue or an orange M&M will be 44% because these outcomes are:

21.

The probability density of a random variable X is given in the following figure.



The probability that X is at least 0.5 is:

1/2. 1/4. 0.

3/4.

22.

The density curve for a continuous random variable X has which property? The probability of any event of the form X = constant is 0. The total area under the density curve for X must be exactly 1. The probability of any event is the area under the density curve and above the values of X that make up the event. All of the answer choices are correct. None of the answer choices is correct. finite. disjoint. discrete. 11 X

Explanation / Answer

(18) P(X<2)=P(X=0)+P(X=1)=0.60+0.35 = 0.95

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