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JulsSmile [24]
3 years ago
6

Suppose that P(A)=0.5, P(B)= 0.4 and P(B/A) =0.6. Find each of the following.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Part (a)

P(A) = 0.5

P(B) = 0.4

P(B/A) = 0.6

P(A and B) = P(A)*P(B/A)

P(A and B) = 0.5*0.6

P(A and B) = 0.3

<h3>Answer: 0.3</h3>

==========================================

Part (b)

We'll use the result from part (a)

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.5 + 0.4 - 0.3

P(A or B) = 0.6

<h3>Answer: 0.6</h3>

===========================================

Part (c)

A and B are not independent since P(B) does not equal P(B/A). The fact that event A happens changes the probability P(B). Recall that P(B/A) means "probability P(B) based on event A already happened". A and B are independent if P(B) = P(B/A).

Events A and B are not mutually exclusive since P(A or B) is not zero.

<h3>Answer: Neither</h3>
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A store sells bread and milk. On Tuesday, 3 loaves of bread and 2 litres of milk were sold for €6.25. On Thursday
chubhunter [2.5K]

Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.

Step-by-step explanation:

  • Step 1: Find equation for Thursday's sales.

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Total sales = €10.90

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  • Step 2: Find the values of b and m.

3b + 2m = 6.25 ----- (1)

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Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.

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Subtract eq(2) from eq(1)

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What graph represents the piecewise function?
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To graph this, we basically graph y = x-4 and y = -2x together on the same coordinate system. We only graph y = x-4 if x is 0 or smaller. Likewise, we graph y = -2x when x > 0. This results in the graph shown in the lower left corner of your four answer choices.

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