Please show work Personality Types: IsabelBriggs Myers was a pioneer in the stud
ID: 2913918 • Letter: P
Question
Please show work Personality Types: IsabelBriggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four mainpreferences. Do married couples choose similar or differentpersonality types in their mates? The following data give anindication. Similarities andDifferences in a Random Sample of 375 MarriedCouples Number of SimilarPreferences Number of MarriedCouples Allfour 34 Three 131 Two 124 One 71 None 15 Suppose that a married couple isselected at random. (a)Use the data to estimate theprobability that the couple will have 0,1,2,3, or 4 personalitypreferences in common. (b)Do the probabilities add upto 1? Why should they? What is the sample space in thisproblem? Please show work Personality Types: IsabelBriggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four mainpreferences. Do married couples choose similar or differentpersonality types in their mates? The following data give anindication. Similarities andDifferences in a Random Sample of 375 MarriedCouples Number of SimilarPreferences Number of MarriedCouples Allfour 34 Three 131 Two 124 One 71 None 15 Suppose that a married couple isselected at random. (a)Use the data to estimate theprobability that the couple will have 0,1,2,3, or 4 personalitypreferences in common. (b)Do the probabilities add upto 1? Why should they? What is the sample space in thisproblem?Explanation / Answer
a) Consider the following table
SimilarPreferences Number of Married Couples Probabilities(p=Number ofmarried couples/total number(375)) 4 34 0.090666667 3 131 0.349333333 2 124 0.330666667 1 71 0.189333333 0 15 0.04 Total 375 1