A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}. for i=1, 2, 3, and suppose that P(A1)=.22, P(A2)=.25, P(A3)=.28, P(A1 and A2)=.11, P(A1andA3)=.05, P(A2 and A3)=.07, P(A1 and A2 and A3)=.01. Compute the probability of each event: a) A 1or A2 b) A1c and A2c c) A1 or A2 or A3 d) A1c and A2c and A3c e) A1c and A2c and A3 f) (A1c and A2c) or A3

(a) 0.36

(b) 0.64

(c) 0.53

(d) 0.47

(e) 0.17

(f) 0.77

Step-by-step explanation:

(a)

Compute the value of P (A₁ ∪ A₂) as follows:

Thus, the value of P (A₁ ∪ A₂) is 0.36.

(b)

Compute the value of P (A₁' ∩ A₂') as follows:

Thus, the value of P (A₁' ∩ A₂') is 0.64.

(c)

Compute the value of P (A₁ ∪ A₂ ∪ A₃) as follows:

Thus, the value of P (A₁ ∪ A₂ ∪ A₃) is 0.53.

(d)

Compute the value of P (A₁' ∩ A₂' ∩ A'₃) as follows:

Thus, the value of P (A₁' ∩ A₂' ∩ A'₃) is 0.47.

(e)

Compute the value of P (A₁' ∩ A₂' ∩ A₃) as follows:

Thus, the value of P (A₁' ∩ A₂' ∩ A₃) is 0.17.

(f)

Compute the value of P ((A₁' ∩ A₂') ∪ A₃) as follows:

Thus, the value of P ((A₁' ∩ A₂') ∪ A₃) is 0.77.

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step-by-step explanation:

a

step-by-step explanation: