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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                      29
Three                      124
Two                      120
One                      66
None                      36   


Suppose that a married couple is selected at random.
Required:
Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common.

Sagot :

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Answer:

P ( All four) = 29/375=0.07733

P ( Three A^) = 124/375= 0.33067

P ( Two A^) = 120/375= 0.32

P (One A^) = 66/375= 0.176

P (None A^) = 36/375= 0.096

Step-by-step explanation:

Number of Similar Preferences                  Number of Married Couples

All four                                                                29

Three                                                                 124

Two                                                                     120

One                                                                     66

None                                                                  36                            

Total                                                                      375                        

We want to determine the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common.

P ( All four) = 29/375=0.07733

P ( Three A^) = 124/375= 0.33067

P ( Two A^) = 120/375= 0.32

P (One A^) = 66/375= 0.176

P (None A^) = 36/375= 0.096

Probability is calculated by favorable outcome divided by the total outcome.

Similarly we obtained the probabilities of the couples that they will have 0, 1, 2, 3, or 4 personality preferences in common.

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