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- Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.The time between calls to a computer technical support is exponentially distributed with a mean time between calls of 20 minutes. What is the probability that there are no calls within a 25-minute interval?Suppose that the mean number of radioactive particles crossing over a counter in 1 millisecond is 4. What is the likelihood that at least 4 particles enter the counter in a given millisecond?
- A random sample of n = 25 is selected from a normal population with mean = 107 and standard deviation = 13. Find the probability that the sample mean deviates from the population mean u = 107 by no more than 5. (Round your answer to four decimal places.)Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 2.64 days. A random sample of 81 shipments are selected and their shipping times are observed. Find the probability that the average shipping time is less than 2.28 days.4. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. What is the probability that there are no calls within a 30-minute interval?
- The downtime per day for a certain computing facility has averaged 4.0 hours and a standard deviation of 1.98 for the last year. Find the probability that the average daily downtime for a period of 20 days is between 1 and 5 hours.An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 787 hours and a standard deviation of 41 hours. Find the probability that a bulb burns between 769 and 806 hours. 0.3228 0.33 0.6772 0.3473Suppose that a random sample of size 25 is to be selected from a population with mean 46 and standard deviation 8. What is the approximate probability that X will be more than .5 away from the population mean?
- For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 500 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35exams graded so far is 512. What is the probability that a sample of 35 exams will have a mean score of 512 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.If X is a normal random variable with mean 20 and standard deviation 50. Find the probability that 15 < X < 45.If arrivals occur at a mean rate of 2.6 events per minute the exponential probability of waiting more than 1.5 minutes for the next arrival is is a .0202 or .0122 or .0535 or .2564