2. Suppose the length of time for a brunch at a restaurant isnormally distributed with mean 60 minutes and standarddeviation of 15 minutes.a. What is the probability that a randomly selected table takesless than 45 minutes?b. What is the probability inat a randomly selected table takesmore than 30 minutes?c. What is the probability that a randomly selected table takesbetween 45 and 75 minutes?d. Find the amount of time that corresponds to the 99thpercentile for brunch times.Find the amount of time, equidistant from the mean of 60minutes, such that 90% of all brunch times are betweenthese values.е.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The probability that Mugdho loses an armwrestling match against Snigdho is 60.0%. Let’s say, there’s no tie . Suppose they both will play 19 matches against each other . a. What is the mean number of matches where Snigdho defeats Mugdho? b. What is the standard deviation in the number of armwrestling matches that Mugdho loses? c. What is the probability that the number of matches Snigdho wins is more than 1 standard deviations away from the mean value? Answer in exact fraction, or rounded to at least 4 decimal places.
Assume that people playing World of Warcraft in a week has a normal distribution with a mean of 54 hours and a standard deviation of 11 hours. Find the probability that a randomly selected person played more than 89 hours. Round to four decimals places.
2. The number of pages in a PDF document you create has is randomly distributed between 5 and 9 pages, where all values are equally likely. What are the mean and standard deviation of the number of pages in the document2
9) CNNBC recently reported that the mean annual cost of auto insurance is 955 dollars. Assume the standard deviation is 239 dollars. You take a simple random sample of 93 auto insurance policies. Give your answers as numbers accurate to 4 decimal places. a. Find the probability that a single randomly selected value is less than 984 dollars. b. Find the probability that a sample of size n 93 is randomly selected with a mean less than 984 dollars.
LightCastle Partners, a Bangladeshi business management consultant, employs a large number of data analysts to analyze the data in a survey project. The time it takes for new data analysts to learn the analysis procedure is known to have a normal distribution with a mean of 99 minutes and a standard deviation of 14 minutes. a. What is the probability that the new data analysts will take more than 103 minutes to learn the analysis procedure? b. What is the probability that the new data analysts will take between 65 to 134 minutes to learn the analysis procedure? c. To maintain employee standars, LightCastle does not hire any analyst who fails to learn the process within a specified time. Therefore, what should be the specified time limit if they wish to retain at most 91.24% of new analysts?
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55 minutes. What is the standard deviation of the commuting time?
Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on average, 31 minutes with a standard deviation of 5 minutes. In a given time, a bus transported passengers 45 times. What is the probability that the average transport time was less than 30 minutes? Assume the mean time is measured to the nearest minute
1.Calculate the probability of the height being less than 300, if the distribution of height was normal. Use the mean and standard deviations 2.Generate a graph to describe the distribution of height and insert it below. Would you think that the assumption that height was normal is accurate? Why or why not? Are speed and height associated? Why or why not? Generate a graph or table that supports.

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