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**My brother in law asked me to look at this homework problem for him for a statistics class. He assumes that since I'm taking calculus that I must be able to learn statistics and probability. So I've tried to learn what I can this morning but don't see it going too far.**

1. Homework Statement

1. Homework Statement

Suppose that P(A) = .61, P(B) = .42, and P(A [tex]\cap[/tex] B) = .14

Calculate the following:

a) P(A [tex]\cup[/tex] B)

b.) P(A l B)

c.) P(B l A)

d.) P([tex]\bar{A}[/tex] [tex]\cup[/tex] B)

e.) P(A l [tex]\overline{B}[/tex])

f.) P([tex]\bar{A}[/tex] l B)

g) Are A and B independent events? Why or Why not?

h) Are A and B mutually exclusive events? Why or why not?

## Homework Equations

## The Attempt at a Solution

a) P (A U B) = P(A) + P(B) = .61 + .42 = 1.03. (I feel this is incorrect).

b) I don't know how to calculate or attempt (AlB)

d) I don't know what the line over the A means.

g) The are independent if P(A U B) = P(A)P(B), but .14 not equal to .61 * .42, so not independent.

h) ?

## Homework Statement

## Homework Equations

## The Attempt at a Solution

## Homework Statement

## Homework Equations

**3. The Attempt at a Solution**