The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at random. What is the probability that all machines have a lifespan of more than 5 years a. 0.3020 b. 0.678 0.678 d. 0.1074 O O O C. O
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- Among the contestants in a competition are 46 women and 24 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to six decimal places. A. 0.038660 B. 0.003512 C. 0.031008 D. 0.122546Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fractionSuppose it has been determined that the probability is 0.8 that a rat injected with cancerous cells will live. If 95 rats are injected, how many would be expected to die?
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- An urn contains 10 red marbles, 7 white marbles, and 8 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. a. Find the probability all three marbles are the same color. b. Find the probability that none of the three marbles are white.A group of people were asked if they had run a red light in the last year. 312 responded "yes", and 236 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 38 college students are randomly selected, find the probability that a. Exactly 11 of them major in STEM. b. At most 11 of them major in STEM. c. At least 14 of them major in STEM. d. Between 10 and 15 (including 10 and 15) of them major in STEM. Round all answers to 4 decimal places.