The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 6 minutes. What is the probability that a person is served in less than 4 minutes on at least 4 of the next 6 days?
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- At a certain bank the amount of time that a customer spends being served by a teller is exponential with mean of 3 minutes. Find the probability that a cusotmer needs at least 5 minutes of service from a teller.The table below shows the number of athletes who stretch before exercising and how many had injuries within the past year. No injury in last (a) What is the probability of selecting an athlete in this study Injury in that stretches? last year year (b) What percentage of the athletes that do not stretch got injured last year? Stretches 55 295 Does not stretch 231 219please be clear
- The probability that a z-score will be between -1.4 and -1.04 is?It is known that 1/3 of the probability of getting rid of a disease. What are the chances of getting rid of more than 3 out of 8 people who get this disease but 6 or less?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.
- A small airline has a policy of booking as many as 60 persons on an airplane that can seat only 53. (Past studies have revealed that only 78% of the booked passengers actually arrive for the flight. Find the probability that if Air-USA books 60 persons, not enough seats will be available. Probability = (Please show your answer to 4 decimal places.)The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 7 minutes. What is the probability that a person is served in less than 4 minutes on at least 5 of the next 7 days? The probability isThe mosquitos are out in your back yard, and they bite you at random times. Each bite happens independently of the last bite. The average time between bites is 2.501 minutes. What is the probability that it takes longer than 1 minutes for them to first bite you?
- If 15% of adults in a certain country work from home, what is the probability that fewer than 30 out of a random sample of 250 adults will work from home? (Round your answer to 3 decimal places)There is a 60% chance of getting stuck in traffic when leaving the city. On two separate days, what is the probability that you get stuck in traffic both days?In a family with 2 children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 children, what is the approximate probability that 230 or fewer will have 2 girls? Approximate a binomial distribution with a normal distribution.