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- Events A and B are mutually exclusive. P(A) = 0.2 and P(B) = 0.7. Find P(AUB) to one decimal place. P(AU B) =Subjective Probability Estimate the probability that the next time you turn on a light switch, you discover that a bulb does work.DNA evidence compelling? DNA evidence can be extracted from biological traces such as blood, hair, and saliva. "DNA fingerprinting" is increasingly used in the courtroom as well as in paternity testing. Given that a person is innocent, suppose that the probability of his or her DNA matching that found at the crime scene is only 0.000001, one in a million. Further, given that a person is guilty, suppose that the probability of his or her DNA matching that found at the crime scene is 0.99. Jane Doe's DNA matches that found at the crime scene. 5.61 a. Find the probability that Jane Doe is actually inno- cent, if absolutely her probability of innocence is 0.50. Interpret this probability. Show your solution by introducing notation for events, specifying probabil- ities that are given, and using a tree diagram to find your answer. b. Repeat part a if the unconditional probability of inno- cence is 0.99. Compare results. Explain why it is very important for a defense lawyer to explain the…
- A die is constructed so that a 1 or 2 occurs twice as often as a 5, and a 5 occurs three times as often as a 3, 4, or 6. If the die is tossed once, find (a) the probability distribution for each outcome. 1 2 3 4 p(x) (b) the probability the outcome is even. (c) the probability the outcome is greater than 4.Events A and B are independent. Find the missing probability. P(A) = (1/2), P(A and B) = (5/6), P(B) = 3/5 1/2 1/4 4/5Probability
- Number of Girls x P(x) 0 0.003 1 0.021 2 0.118 3 0.208 4 0.300 5 0.208 6 0.118 7 0.021 8 0.003Probability Question required solutionEvents A and B are independent. Suppose event A occurs with probability 0.51 and event B occurs with probability 0.34. Answer the questions below. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) (a) If event A or event B occurs, what is the probability that A occurs? (b) If B does not occur, what is the probability that A does not occur? X 3
- basic probabilityNumber of boys (x) P(x) 0 0.028 1 0.145 2 0.305 3 0.320 4 0.168 5 0.034 Find the probability of more than three boys in five births.PROBABILITY OF A GIRL Assuming that boys and girls are equally likely, find the probability of a couple having a boy when their third child is born, given that the first two children were both girls.