Question

The age distribution for senators in the 104th U.S. Congress was as follows: age under 40 40-49 50-59 60-69 70 and over no. of senators 1 14 41 27 17 Consider the following four events: A = event the senator is under 40 B = event the senator is in his or her 50s C = event the senator is 40 or older D = event the senator is under 60 Find the probability of each event given below:

(a) not D

Answer 1

To find the probability of event not D, we need to find the complement of event D. The complement of event D is the event that the senator is 60 or older. Therefore, we need to find the number of senators who are 60 or older, and divide it by the total number of senators. From the given age distribution, we can see that there are 27 senators who are 60-69 years old and 17 senators who are 70 and over. Therefore, the number of senators who are 60 or older is 27 + 17 = 44. The total number of senators is 1 + 14 + 41 + 27 + 17 = 100. So, the probability of event not D is 44/100 = 0.44 or 44%.

Step-by-step explanation:

To find the probability of event not D, we need to find the complement of event D.

The complement of event D is the event that the senator is 60 or older. Therefore, we need to find the number of senators who are 60 or older, and divide it by the total number of senators.

From the given age distribution, we can see that there are 27 senators who are 60-69 years old and 17 senators who are 70 and over. Therefore, the number of senators who are 60 or older is 27 + 17 = 44.

The total number of senators is 1 + 14 + 41 + 27 + 17 = 100.

So, the probability of event not D is 44/100 = 0.44 or 44%.