question archive Isabel Briggs Myers was a pioneer in the study of personality types
Isabel Briggs Myers was a pioneer in the study of personality types
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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.
Similarities and Differences in a Random Sample of 375 Married Couples
Number of Similar Preferences Number of Married Couples
All four 26
Three 133
Two 111
One 67
None 38
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.)
0: ________
1: ________
2: ________
3: ________
4: ________
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Answer:
When x = 0, the probability is 0.1
When x = 1, the probability is 0.18
When x = 2, the probability is 0.30
When x = 3, the probability is 0.35
When x = 4, the probability is 0.07
Here, we're going to use the following definition: Let A be an event then ?
P(A)=possible outcomes/total outcomes??
Total outcomes = 375
Let X be the variable that measures the number of personalities
When x = 0: ?P(X=0)=38/375?=0.10?
When x = 1: ?P(X=1)= 67?375=0.18?
When x = 2: ?P(X=2)=111/375?=0.30?
When x = 3: ?P(X=3)=133/375?=0.35?
When x = 4: ?P(X=4)=26/375?=0.07?
