Mathematics, 19.11.2019 04:31 cycy24
Mixed poisson/exponential (draw pictures where appropriate and show formulas with numbers plugged in as well as answers.) customers arrive at the drive-up window of a fast-food restaurant at a rate of 2 per minute during the lunch hour (noon-1pm). a. what is the probability that exactly 3 customers will arrive in 1 minute? b. what is the probability that at least 1 customer will arrive in 5 minutes? c. what is the probability that no customers will arrive in 2 minutes? d. given a customer has just arrived, what is the probability that the next customer will arrive within 1 minute? e. given a customer has just arrived, what is the probability that the next customer will arrive within 2 minutes? f. given a customer has just arrived, what is the probability the next customer will not arrive within the next 2 minutes?
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There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?
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Mixed poisson/exponential (draw pictures where appropriate and show formulas with numbers plugged in...
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