Question

The age distribution for senators in the 104th U.S. Congress was as follows: Consider the following four events: A= event the senator is under 40 B= event the senator is in his or her 50 s C= event the senator is 40 or older D= event the senator is under 60 Find each of the following probabilities:

Answer 1

To find the probabilities, we need to use the information provided. We have to calculate the probabilities based on different events related to the age distribution of senators in the 104th U.S. Congress.

Step-by-step explanation:

To find the probabilities, we need to use the information provided. According to the age distribution for senators in the 104th U.S. Congress, we have the following events:

• A = the senator is under 40
• B = the senator is in his or her 50s
• C = the senator is 40 or older
• D = the senator is under 60

The probabilities can be calculated as follows:

• 101. P(Other affiliation) = Number of senators with Other affiliation / Total number of senators
• 102. P(Senator up for reelection in November 2016) = Number of senators up for reelection in November 2016 / Total number of senators
• 103. P(Democrat and up for reelection in November 2016) = Number of Democrat senators up for reelection in November 2016 / Total number of senators
• 104. P(Republican or up for reelection in November 2014) = Number of Republican senators + Number of senators up for reelection in November 2014 / Total number of senators
• 105. P(Democrat | Senator up for reelection in November 2016) = P(Democrat and up for reelection in November 2016) / P(Senator up for reelection in November 2016)