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 theprobability 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?

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Answered: The route used by a certain motorist in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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If Mary is late for school one particular day of the week, the probability she arrives on time the next day is 0.8. If she arrives on time one day, the probability she arrives late the following day is 0.3. What is the probability she was late on Thursday?
The probability of a thunderstorm on Memorial Day is 0.13 and the probability of a thunderstorm on Independence Day is 0.59. Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial and Independence Day?
For this problem, assume that you weigh 500 duck hatchlings. You find that 93 are slightly underweight, 6 are severely underweight, and the rest are normal. (1) What probability should be assigned to a single duck hatchling's being slightly underweight? (2) What probability should be assigned to a single duck hatchling's being severely underweight? (3) What probability should be assigned to a single duck hatchling's being normal?
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?
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"?
Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.38, 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 0.33, what's the probability that "she's up all night 'til the sun" AND "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 0.31, the probability that "she's up all night for good fun" is 0.20, 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"?

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