The speed of cars on a specific road is normally distributed with a mean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
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The speed of cars on a specific road is
normally distributed with amean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
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- A particular fruit's weights are normally distributed, with a mean of 363 grams and a standard deviation of 17 grams.The heaviest 19% of fruits weigh more than how many grams?Give your answer to the nearest gram.The income of trainess at a local mill are normally distributed with a mean of $1100 and a standard deviation of $150. What percentage of trainees earn less than $900 a month?The distribution of heights of adult American men is approximately normal with a mean of 69 inches and a standard deviation of 2.5 inches. a. What percent of these men are at least 71.5 inches tall? b. What percent of these men are between 64 and 74 inches tall?
- A particular fruit's weights are normally distributed, with a mean of 609 grams and a standard deviation of 40 grams.The heaviest 20% of fruits weigh more than how many grams?Give your answer to the nearest gram.A particular fruit's weights are normally distributed, with a mean of 454 grams and a standard deviation of 36 grams.The heaviest 18% of fruits weigh more than how many grams?Give your answer to the nearest gram.2. In a different warehouse, book orders are handled by two members of staff, A and B, who take turns to pack each orders as it arrives (this is a non-random alternation). Assume orders arrive as a Poisson process with rate A per hour, that A packs the first order, and that orders are packed instantaneously. Let NA(t) be the number of orders packed by A by time t, and let X₁, X2.... be the inter-arrival times for the process (NA()). (a) What is the probability distribution for X.? Hint: relate the X, to the times between orders. (b) Is (NA(t)) a Poisson process? Explain your reasoning.
- Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.Butt-to-knee length is approximately normally distributed with a mean of 23.1 inches and a standard deviation of 1.2. Theater seats are designed to be comfortable for as many adults as possible. If the seats are required to fit the middle 80% of the population, the seat must be comfortable for what butt-to-knee length range?A particular fruit's weights are normally distributed, with a mean of 465 grams and a standard deviation of 15 grams. The heaviest 17% of fruits weigh more than how many grams? Give your answer to the nearest gram.
- Assume that in a men's basketball league the distribution of heights has a mean of 6 feet, 6 inches, and a standard deviation of 3 inches. If there are 301 players in the league, how many players should be over 7 feet tall? Click the icon to view the area under the standard normal curve table. Of the 301 players, approximately are over 7 feet tall. (Round to the nearest whole number as needed.)A particular fruit's weights are normally distributed, with a mean of 790 grams and a standard deviation of 26 grams.The heaviest 6% of fruits weigh more than how many grams?
