Let A and B be independent events with P(A) = 0.44 and P(B) = 0.54. a. Calculate P(A ? B). (Round your answer to 2 decimal places.) P(A ? B) b. Calculate P((A ? B)^C). (Round your answer to 2 decimal places.) P((A ? B)^C) c. Calculate P(A | B). (Round your answer to 2 decimal places.) P(A | B)
Added by Wesley M.
Close
Step 1
Since A and B are independent events, we can calculate the probability of their intersection as follows: P(A ∩ B) = P(A) * P(B) = 0.44 * 0.54 b. To calculate P((A U B)ᶜ), we first need to find P(A U B). Using the formula for the union of two independent Show more…
Show all steps
Your feedback will help us improve your experience
Robin Corrigan and 72 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let A and B be independent events with P(A) = 0.63 and P(B) = 0.73. a. Calculate P(A ∩ B). (Round your answer to 2 decimal places.) P(A ∩ B) b. Calculate P((A ∪ B)^C). (Round your answer to 2 decimal places.) P((A ∪ B)^C) c. Calculate P(A | B). (Round your answer to 2 decimal places.) P(A | B)
Adi S.
Let A and B be independent events with P(A) = 0.45 and P(B) = 0.55. a. Calculate P(A ∩ B). (Round your answer to 2 decimal places.) b. Calculate P((A U B)c). (Round your answer to 2 decimal places.) P((A U B)c) c. Calculate P(A | B). (Round your answer to 2 decimal places.)
Narayan H.
Christopher D.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD