The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.4, the analogous probability for the second signal is 0.45, and the probability that he must stop at at least one of the two signals is 0.65. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (c) What is the probability that he must stop at exactly one signal?

Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.27, the probability that "she's up all night for good fun" is 0.39, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.35, what's the probability that "she's up all night 'til the sun"? Round to 2 decimal places as needed. Your Answer: Answer

Given the probability that "she's up all night 'til the sun" is 0.39, the probability that "she's up all night for good fun" is 0.30, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.18, what's the probability that "she's up all night 'til the sun" OR "she's up all night for good fun"? Round to 2 decimal places as needed.

Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.34, the probability that "she's up all night for good fun" is 0.08, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.34, what's the probability that "she's up all night 'til the sun"?

Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.30, the probability that "she's up all night for good fun" is 0.10, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.40, what's the probability that "she's up all night 'til the sun"? Round to 2 decimal places as needed.

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (c) What is the probability that he must stop at exactly one signal?

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9. (a) What is the probability that he must stop at both signals? X (b) What is the probability that he must stop at the first signal but not at the second one? X (c) What is the probability that he must stop at exactly one signal?

Suppose two friends, Michael and Austin, are arguing about Michael's supposed trivia prowess. Michael, a trivia fanatic, wishes to prove his vast trivia knowledge by answering a series of trivia questions. To test this, Austin purchases a book of trivia questions and randomly selects 75 to ask Michael. Assume that for each question, the probability that Michael gives the correct answer is 0.80. What is the probability that Michael will answer at least 55 questions correctly? Use the normal approximation to obtain the result. Give your answer as a decimal precise to at least three decimal places.

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.55, and the probability that he must stop at at least one of the two signals is 0.8. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (c) What is the probability that he must stop at exactly one signal?

Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.19, the probability that "she's up all night for good fun" is 0.44, and the probability that "she's up all night 'til the sun" is 0.48, what's the probability that "she's up all night 'til the sun" AND "she's up all night for good fun"?