A coin is flipped repeatedly, and the number of tails is considered as the success. Detemine the probability for landing 3 tails (a) on the first three flips; (b) for 5 flips and (c) for more than 7 flips
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- Three balls are drawn at random without replacement from a box containing 2 white, 3red and 4 black balls. If X denotes the number of white balls drawn and Y denotes the number of red balls drawn, find the joint probability distribution of (X, Y ).A washing machine in a laundromat breaks down an average of three times per month. Using the Poisson probability distribution formula, find the probability that during the next month this machine will have (a) exactly two breakdowns (b) at most one breakdownA fair 6-sided die is thrown 100 times. Find a lower bound on the probability that the total sum of throws is between 300 and 400
- The battery life of a mobile device is uniformly distributed between 9 to 12 hours. Find the probability that the battery life will be between 10.5 and 11.5 hours.When a bit is transmitted, it is received in error with probability p. Assume that 10 bits are transmitted independently, what is the probability that 4 bits are correctly received?XYZ Corp has filed 100,000 purchase orders during its existence. 1100 of those purchase orders have had errors. Using empirical probability, the probability of the next purchase order that XYZ processes having an error is what.
- The time between busses on Stevens Creek Blvd is 12 minutes. Therefore the wait time of a passenger who arrives randomly at a bus stop is uniformly distributed between 0 and 12 minutes. Find the probability that a person randomly arriving at the bus stop to wait for the bus has a wait time of at most 5 minutes.The flight from Greenville to Charlotte can take anywhere from 43 minutes to 68 minutes. Suppose the random flying times, X, are uniform from 43 to 68 minutes. What is the probability a flight last longer than 59? or P(X>59) Do not round.Assume that when adults with smartphones are randomly selected, 53% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is 0.0905 (Round to four decimal places as needed.)
- Cal Poly Pomona found that 15% of its students withdraw without completing Calculus I course. Assume that 30 students registered for the course. Compute the probability that exactly 6 students will withdraw. Leave your answer in four decimal places.The wait time for a table at a popular restaurant is uniformly distributed with a minimum time of 30 minutes and a maximum time of 75 minutes. What is the probability that a wait time is more than 70 minutes?Find the probability distribution of the sum of the dots when two fair dice are rolled.Now Use the probability distribution to find the probabilities of obtainingNow findA sum of 8 or 11.And Also find sum that is greater than 8.And also find A sum that is greater than 5 but less than or equal to 10.