One of two biased coins A and B is selected and flipped. Let A be the event that coin A is selected and B be the event that coin B is selected, with probabilities p(A) = 0.2 and p(B) = 0.8. When coin A is flipped, the probability of heads is 0.5. When coin B is flipped, the probability of heads is 0.7. Let H be the event that the selected coin comes up heads. Complete the values X, Y, and Z in Bayes' Theorem to determine the probability coin B was chosen if the flip came up heads. X ]· p(B) - p(В) + Ex:0.1 Ex: 0.1 p(B|H) = Ex: 0.1 |· p(A) Y

A graph G is called a _______ if it is a connected acyclic graph    1 Not a graph   2 Cyclic graph   3 Regular graph   4 Tree

American Airlines' flights from Chicago to Dallas are on time 70 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is = 2.The probability that at most 4 flights are on time is = 3.The probability that exactly 6 flights are on time is =

Suppose that 11% of a certain batch of calculators have a defective case, and that 12% have defective batteries. Also, 5% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries. The probability that the calculator has a good case and good batteries is (Type an integer or a decimal)

According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 25 flights are randomly selected and the number of​ on-time flights is recorded. N=25 P=0.75 ​(c) Find and interpret the probability that exactly 14 flights are on time. ​(d) Find and interpret the probability that fewer than 14 flights are on time. ​(e) Find and interpret the probability that at least 14 flights are on time. ​(f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.   (c) The probability that exactly 14 flights are on time is ____?  ​(Round to four decimal places as​ needed.) Interpret the probability. In 100 trials of this​ experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed) (d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as​ needed.) Interpret the probability. In 100 trials of this​ experiment, it is expected…

Delta Airlines' flights from Boston to Dallas are on time 60 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded.1.The probability that at least 9 flights are on time is =2.The probability that at most 8 flights are on time is =3.The probability that exactly 12 flights are on time is =

The probability that an international flight leaving the United States is delayed in departing (event D) is 26. The probability that an international flight leaving the United States is a transpacific flight (event P) is .54. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is 14. (a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.) Probability (b) In this problem, are Dand Pindependent?