Question

The following frequency distribution shows the ages of India’s 53 richest individuals. One of these individuals is selected at random.

Ages	Frequency
30 up to 40	8
40 up to 50	12
50 up to 60	11
60 up to 70	13
70 up to 80	9

a. What is the probability that the individual is between 50 and 60 years of age? (Round your answer to 3 decimal places.)

Probability:_______

b. What is the probability that the individual is younger than 50 years of age? (Round your answer to 3 decimal places.)

Probability:_______

c. What is the probability that the individual is at least 60 years of age? (Round your answer to 3 decimal places.)

Probability:_______

Answer 1

Solution:-

a) The probability that the individual is between 50 and 60 years of age is 0.208.

Total number of individuals = 53

Number of individual between 50 and 60 years of age = 11

The probability that the individual is between 50 and 60 years of age = 11/53

The probability that the individual is between 50 and 60 years of age is 0.2075.

b) The probability that the individual is younger than 50 years of age is 0.377.

Total number of individuals = 53

Number of individual younger than 50 = 8 + 12 = 20

The probability that the individual is younger than 50 years of age = 20/53

The probability that the individual is younger than 50 years of age is 0.3774

c) The probability that the individual is at least 60 years of age is 0.396

Total number of individuals = 53

Number of individual that are at least 60 years of age = 13 + 9 = 21

The probability that the individual is at least 60 years of age = 21/53

The probability that the individual is at least 60 years of age is 0.396