1) Isabel Briggs Myers was a pioneer in the study of personality types

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1) 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: ________

2) 

John runs a computer software store. Yesterday he counted 127 people who walked by the store, 52 of whom came into the store. Of the 52, only 29 bought something in the store. (Round your answers to two decimal places.)

(a) Estimate the probability that a person who walks by the store will enter the store.

(b) Estimate the probability that a person who walks into the store will buy something.

(c) Estimate the probability that a person who walks by the store will come in and buy something.

(d) Estimate the probability that a person who comes into the store will buy nothing.   

3)

Given P(A) = 0.3

and P(B) = 0.4, do the following.

(a) If A and B are mutually exclusive events, compute P(A or B).

(b) If P(A and B) = 0.3, compute P(A or B).