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- Suppose that 70% of all students in a large university pass all their classes. Find the probability that more than 60% of 34 r/s students from this university pass all their classes.At a bank, there is a line of 3 people and only one cashier that serves one person at a time. The time that the cashier takes to serve each person has an exponential distribution with a mean of 5 minutes. Calculate the probability that the total time of serving the 3 people is less than 15 minutes. Assume that the serving times are independent.In any given year a factory has a 10% probability of having a serious accident about every how Nagy years might the factory expect to have an accident?
- It has rained for 18 days out of the last 30. Using this information, what is the likelihood that it will rain tomorrow?The probability of a 25-year-old and another 35-year-old living together for 10 years is 0.6. What is the probability that a 30-year-old person will die within 15 years, if it is known that 4000 people out of 54000 at 25 years old will die before reaching the age of 30?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.
- From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?Suppose that the probability an archer will hit a target is 0.80 and that each shot is independent. If the archer shoots 6 times, what is the probability she hits the target at least 5 times? (Round your answer to three decimal places.)The probability is 0.0770 that the 6th applicant for a factory job will be hired on the 13th interview. What is the probability that 6 applicants will be hired from 13 applicants who have been interviewed? Your answer should be to 4 decimal places.
- From observations of the weather, it is known that on October 20 the probability of rain is 0.25. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?The probability that Mr. Johnson goes for an evening walk on any given day during the winter is 0.56. Out of 89 days of winter, the number of days that Mr. Johnson is expected not to take an evening walk to the nearest day, isA survey found that people keep their automo- biles an average of 3.2 years. The standard de- viation is 0.82 year. If a person enters an automobile dealer's store, find the probability that 7 the person has owned the automobile the fol- lowing amount of time 18- a. Less than 1 year b. Between 2 and 3 years c. More than 3 years