Assume that A and B are events. If P(AUB)= 0.8, P(A) = 0.4, and P(B) = 0.75, find P(AnB).P(AnB) =(Simplify your answer. Type an integer or a decimal.)

For any two eevents A and B, P(A∩B)=P(A)+P(B)-P(A∪B)

Answered: Assume that A and B are events. If…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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John runs a computer software store. Yesterday he counted 127 people who walked by his store, 58 of whom came into the store. Of the 58, only 25 bought something in the store. For each of the following questions, answer using probability notation. Estimate the probability that a person who walks by the store will enter the store.
Use the information that, for events A and B, we have P(A) = 0.3, P(B) = 0.4, and P(A and B) = 0.1. Find P(not B). Enter the exact answer. P(not B) = i eTextbook and Media
Find the indicated probability. If P(A or B) = 0.8, P(A) = 0.3, and P(A and B) = 0.15, find P(B). P(B) =| (Simplify your answer. Type an integer or a decimal.)
By rewriting the formula for the multiplication rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B A) = Use the information below to find the probability that a flight P(A) departed on time given that it arrives on time. The probability that an airplane flight departs on time is 0.89. The probability that a flight arrives on time is 0.87. The probability that a flight departs and arrives on time is 0.83. The probability that a flight departed on time given that it arrives on time is (Round to the nearest thousandth as needed.)
The probability that Gene will win quiz bee contest is 36% and the probability that Jem will win in the same contest is 29%. Find the probability that,a. either Gene or Jem will win.b. Neither gene nor Jem will win. (complement of letter a)
T7
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In each of Exercises, decide whether or not the two events in question are independent or whether it is not possible to tell. Justify your answers. P(B) = 0.7 and P(A| B) = 0.6
L9Q2.Which of the following events is equally likely to happen?

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Assume that A and B are events. If P(AUB)= 0.8, P(A) = 0.4, and P(B) = 0.75, find P(AnB). P(AnB) = (Simplify your answer. Type an integer or a decimal.)