Three events occur with probabilities P (E₁) = 0.37, P (E₂) = 0.19, and P (E3) = 0.46. If the event B occurs, the probability becomes P Complete parts a through c. a. Calculate P (E₁ and B). b. Compute P (E₁ or B). c. Assume that E₁, E₂, and E3 are independent events. Calculate P(E₁ and E2 and E3). P(E₁IB) = C = 0.21, P(B) = 0.33. a. P (E₁ and B) = (Round to four decimal places as needed.) b. P (E₁ or B) = (Round to four decimal places as needed.) c. P (E₁ and E₂ and E3) = (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
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Three events occur with probabilities P (E₁) = 0.37, P (E₂) = 0.19, and P (E3) = 0.46. If the event B occurs, the probability becomes P P(E₁IB) = 0.21, P(B) = 0.33.
Complete parts a through c.
a. Calculate P (E₁ and B).
b. Compute P(E₁ or B).
c. Assume that E₁, E₂, and E3 are independent events. Calculate P (E₁ and E₂ and E3).
1
a. P (E₁ and B)
b. P (E₁ or B)
(Round to four decimal places as needed.)
c. P (E₁ and E₂ and E3) = (Round to four decimal places as needed.)
=
(Round to four decimal places as needed.)
Transcribed Image Text:Three events occur with probabilities P (E₁) = 0.37, P (E₂) = 0.19, and P (E3) = 0.46. If the event B occurs, the probability becomes P P(E₁IB) = 0.21, P(B) = 0.33. Complete parts a through c. a. Calculate P (E₁ and B). b. Compute P(E₁ or B). c. Assume that E₁, E₂, and E3 are independent events. Calculate P (E₁ and E₂ and E3). 1 a. P (E₁ and B) b. P (E₁ or B) (Round to four decimal places as needed.) c. P (E₁ and E₂ and E3) = (Round to four decimal places as needed.) = (Round to four decimal places as needed.)
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