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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman
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Prime Numbers A prime number is a number that is evenly

Chapter 4, Problem 23E

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QUESTION:

Problem 23E

Prime Numbers A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.

2

3

5

7

11

13

17

19

23

29

31

37

41

43

47

53

59

61

67

71

73

79

83

89

97

 

 

 

 

 

 

 

 

Choose one of these numbers at random. Find the probability that

a. The number is even

b. The sum of the number’s digits is even

c. The number is greater than 50

Questions & Answers

QUESTION:

Problem 23E

Prime Numbers A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.

2

3

5

7

11

13

17

19

23

29

31

37

41

43

47

53

59

61

67

71

73

79

83

89

97

 

 

 

 

 

 

 

 

Choose one of these numbers at random. Find the probability that

a. The number is even

b. The sum of the number’s digits is even

c. The number is greater than 50

ANSWER:

Solution:

Step 1 of 3:

 The prime numbers less than 100 is given by

2

3

5

7

11

13

17

19

23

29

31

37

41

43

47

53

59

61

67

71

73

79

83

89

97

 

 

 

 

 

 

 

 

The total number of prime numbers below 100 is 25.

 

a). We have to find the probability that the number is even.

        There is only one even number out of the 25.

  Then,

          P(number is even) =

                              = 0.04.

  Therefore, the probability that the number is even = 0.04.

 

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