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- Please Solve In 15minsThe time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 12 minutes. (a) Find the probability that the time interval between two successive barges is more than 8 minutes. (b) Find a time intervalt such that we can be 90% sure that the time interval between two successive barges will be greater than t. Loount ▼Assume that a procedure yields a binomial distribution with a trial repeated n=13n=13 times. Use either the binomial probability formula (or technology) to find the probability of k=11k=11 successes given the probability p=0.39p=0.39 of success on a single trial.(Report answer accurate to 3 decimal places.)P(X=11)=
- Assume that a procedure yields a binomial distribution with a trial repeated n=7n=7 times. Use either the binomial probability formula (or technology) to find the probability of k=2k=2 successes given the probability p=0.51p=0.51 of success on a single trial.(Report answer accurate to 4 decimal places.)P(X=k)=Suppose that 0.6% of male professional golfers use steroids, and that Max is a male professional golfer who has been randomly selected to take a drug test. The test he has been asked to take has a false positive rate of 1% and a false negative rate of 10%. Use Bayes’ rule to calculate the probability that Max actually uses steroids if he tests positive for steroid use. Give your answer as a decimal precise to three decimal places. P=Students arrive one at a time, completely at random, to an advice clinic at a rate of10 per hour. Students take on average 5 minutes of advice but there is wide variation inthe time they need; this variation may be well modeled by the exponential distribution.b. Again assuming one advisor, what is the probability that there are more than tenstudents in the clinic at a random point in time? What is the probability that the timespent in the clinic exceeds 30 minutes?.
- Use the normal approximation to the binomial to find the probability for n=50, p=0.7, and x=39. Round z-value calculations to 2 decimal places and final answer to 4 decimal places The probability isLet X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter å = 0.01417. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your answer to four decimal places.) (c) What is the value of the median distance? (Round your answer to two decimal places.)i need the answer quickly