Isabel Briggs Myers was a pioneer in the study of personality types. The persona

Question

Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication.

Suppose that a married couple is selected at random.

(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (Enter your answers to 2 decimal places.)

(b) Do the probabilities add up to 1? Why should they?

Yes, because they do not cover the entire sample space.No, because they do not cover the entire sample space.    Yes, because they cover the entire sample space.No, because they cover the entire sample space.

What is the sample space in this problem?

0, 1, 2, 3 personality preferences in common1, 2, 3, 4 personality preferences in common    0, 1, 2, 3, 4, 5 personality preferences in common0, 1, 2, 3, 4 personality preferences in common

Similarities and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences Number of Married Couples All four
Three
Two
One
None 26
135
114
66
34

Explanation / Answer

a) dividing each frequency cell with total

probability distribution is as follows:

b)es, because they cover the entire sample spac

c)

0, 1, 2, 3, 4 personality preferences in common

0 1 2 3 4 0.07 0.36 0.30 0.18 0.09

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.