What is the probability that the total of two randomly chosen numbers exceeds 3, where the first number is chosen from a uniform distribution between 0 and 2, and the second number is selected from an exponential distribution with a mean of 1?
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- A random sample of n = 65 observations is selected from a population with a mean of 25 and s = 16. What is the probability that the sample mean is less than 16?Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there is quite a lot of variability in the customers’ arrivals, asone would expect in an unscheduled system. The single bakery server requires anamount of time having the exponential distribution with mean 4.5 minutes to servecustomers (in the order in which they arrive). No customers leave without service.e. What is the probability that there are fewer than two customers in the bakery?Construct a binomial distribution graph for the number of defective computer chips in a lot of 3 if p=0.6 show all the decimal answers .
- According to the statistics, 13% of cars in the city were at least 12 years old in2004. Assume that this result holds true for the current population of all cars in thecity. Random sample of 500 cars are selected at random. Approximate the probabilitythat 80 to 98 cars are at least 12 years old?The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)An elevator has a placard stating that the maximum capacity is 1344lb long dash—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1344 divided by 8 equals 168 pounds.1344/8=168 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 168lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 27 lb) Does this elevator appear to be safe? The probability the elevator is overloaded is____
- The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.3 minutes and a standard deviation of 2.5minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 36 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)Suppose the time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 4 sessions, What is the probability that the sample mean is less than 8 minutes? What is the probability that sample mean is between 8 and 10 minutes? If you select a random sample of 16 sessions, what is the probability that a as sample mean is between 8 and 9 minutes? Explain the differences in the results of (b) and (c).4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here?
- The number of automobile sold weekly at a certain dealership is a random variable with expected value 16.Give an upper bound to the probability that the next week sales exceed 18.Q43. If the difference between three times of mean and three times of variance is two for a binomial probability distribution for 6 trials then the probability of getting exactly 5 success is? < (a) (b) 2 35 4 35 25 36 (d) none of the aboveWhat is the probability of scoring above a z-score of -0.08?
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