In a survey of a group of​ men

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of

67.3

inches and a standard deviation of

3.0

inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.

​(a) Find the probability that a study participant has a height that is less than

68

inches.

 
The probability that the study participant selected at random is less than

68

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(b) Find the probability that a study participant has a height that is between

68

and

72

inches.

 
The probability that the study participant selected at random is between

68

and

72

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(c) Find the probability that a study participant has a height that is more than

72

inches.

 
The probability that the study participant selected at random is more than

72

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
 
 

A.

The event in part

(a)

is unusual because its probability is less than 0.05.

 

B.

There are no unusual events because all the probabilities are greater

than 0.05.

 

C.

The events in parts

(a) and (c)

are unusual because its probabilities are less than 0.05.

 

D.

The events in parts (a), (b), and (c) are unusual because all of their probabilities are  
less

than 0.05.

In a survey of a group of​ men

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of

67.7

inches and a standard deviation of

4.0

inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.

​(a) Find the probability that a study participant has a height that is less than

67

inches.

 
The probability that the study participant selected at random is less than

67

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(b) Find the probability that a study participant has a height that is between

67

and

72

inches.

 
The probability that the study participant selected at random is between

67

and

72

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(c) Find the probability that a study participant has a height that is more than

72

inches.

 
The probability that the study participant selected at random is more than

72

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
 
 

A.

There are no unusual events because all the probabilities are greater

than 0.05.

 

B.

The event in part

(a)

is unusual because its probability is less than 0.05.

 

C.

The events in parts

(a) and (c)

are unusual because its probabilities are less than 0.05.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

In a survey of a group of​ men

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of

69.8

inches and a standard deviation of

3.0

inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.

​(a) Find the probability that a study participant has a height that is less than

68

inches.

 
The probability that the study participant selected at random is less than

68

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(b) Find the probability that a study participant has a height that is between

68

and

72

inches.

 
The probability that the study participant selected at random is between

68

and

72

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(c) Find the probability that a study participant has a height that is more than

72

inches.

 
The probability that the study participant selected at random is more than

72

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
 
 

A.

The events in parts

(a) and (c)

are unusual because its probabilities are less than 0.05.

 

B.

The events in parts (a), (b), and (c) are unusual because all of their probabilities are  
less

than 0.05.

 

C.

There are no unusual events because all the probabilities are greater

than 0.05.

In a survey of a group of​ men

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of

67.7

inches and a standard deviation of

3.0

inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.

(b) Find the probability that a study participant has a height that is between

65

and

71

inches.

 
The probability that the study participant selected at random is between

65

and

71

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

In a survey of a group of​ men

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of

67.9

inches and a standard deviation of

4.0

inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.

​(a) Find the probability that a study participant has a height that is less than

67

inches.

 
The probability that the study participant selected at random is less than

67

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(b) Find the probability that a study participant has a height that is between

67

and

70

inches.

 
The probability that the study participant selected at random is between

67

and

70

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(c) Find the probability that a study participant has a height that is more than

70

inches.

 
The probability that the study participant selected at random is more than

70

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
 
 

A.

The events in parts (a), (b), and (c) are unusual because all of their probabilities are  
less

than 0.05.

 

B.

The events in parts

(a) and (c)

are unusual because its probabilities are less than 0.05.

 

C.

There are no unusual events because all the probabilities are greater

than 0.05.

 

D.

The event in part

(a)

is unusual because its probability is less than 0.05.

 
Click to select your answer(s).

 

 
 

In a survey of a group of​ men

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of

67.7

inches and a standard deviation of

3.0

inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.

​(a) Find the probability that a study participant has a height that is less than

65

inches.

 
The probability that the study participant selected at random is less than

65

inches tall is

nothing.

​(Round to four decimal places as​ needed.)

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