Question

Asked Oct 25, 2019

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Let *E* and *F* be two mutually exclusive events and suppose *P(E)* = 0.5 and *P(F)* = 0.3. Compute the probabilities below.

(a) *P(E* **∩** *F)*

(b)*P(E* U *F)*

(c)*P(E*^{c})

(d)*P(E*^{c} **∩** *F*^{c})

(e)*P(E*^{c} U *F*^{c})

(b)

(c)

(d)

(e)

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3.

Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Step 2

a)*P(E* **∩** *F)*

*From the figure,*

*P(E* **∩** *F)**=0*

Step 3

b)*P(E*U *F)*

*Since, *

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