Question

A 2010–2011 study performed by Gallup (www.gallup.com/poll/148994/Emotional-Health-Higher-Among-Older-Americans.aspx) examined the emotional health of a large number of Americans. Among other things, Gallup reported on whether people had Emotional Health Index scores of 90 or higher, which would classify them as being emotionally well-off. The report was based on a survey of 65,528 people in the age group 35-44 years and 91,802 people in the age group 65-74 years. The following table gives the results of the survey, converting percentages to frequencies..Emotionally Well-OffEmotionally Not Well-Off35-44 Age group16,01649,51265-74 Age group32,58359,219a. Suppose that one person is selected at random from this sample of 157,330 Americans. Find the following probabilities.Round your answers to three decimal places.i. P(35-44 age group and emotionally well-off )= Enter you answer in accordance to the item i) of the question statement ii. P( emotionally well-off and 65-74 age group)= Enter you answer in accordance to the item ii) of the question statement b. Find the joint probability of events "35-44 age group" and "65-74 age group."P( 35-44 age group and 65-74 age group)= Enter you answer in accordance to the item b) of the question statement

Answer 1

Given

35-44 age group

well-off = 16016 , non well-off = 49512

65-74 age group

well-off = 32,583 non well-off = 59,219

Total well off = 48599

Total non well off = 108731

Total well off and non well -off = 157330

Find

P(35-44 age group and well off)

P(non well -off and 65-74 age group)

p(35-44 age group and 65-74 age group)

Explanation

(i) P(35-44 age group and well off) = 16016/157330 = 0.102

(ii) P(non well -off and 65-74 age group) = 59219/157330 = 0.376

b) p(35-44 age group and 65-74 age group) = 0

Final Answer

i) 0.102

ii) 0.376

b) 0