The boxes delivered by a factory havean average weight of 300 lbs. and astandard deviation of 50A) what is the probability that a boxweighs more than the average ?B) what is the probability that a boxweighs between 250 lbs and 350 lbs ?C) what is the probability that 25 boxestaken by lift and loaded on a truckexceed the capacity of each truckwhich is known to be 8200 pounds ?||

Answered: The boxes delivered by a factory have…

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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Answer is a) 43.9, 10.866 b) 0.408 Please do b)
The results of a survey indicates that the time a shopper spends in a supermarket is approximately normally distributed with an average of 45 minutes and a standard deviation of 12 minutes. A shopper enters the store. a) Sketch the distribution. b) Find the probability that the shopper will be in the store for between 9 and 57 minutes. c) Find the probability that the shopper will be in the store for more than 33 minutes. d) 200 shoppers enter the store in the early evening, approximately how many shoppers would be expected to finish shopping in less than one hour and nine minutes?
There are three urns that each contain 10 balls. The first contains 3 white and 7 red balls, the second 6 white and 4 red, and the third all 10 white. Each urn has an equal probability of being selected. An urn is selected and a ball is drawn and replaced, and then another ball is drawn from the same urn. Suppose both are white. What are the following probabilities? (Round your answers to four decimal places.) (a) The first urn was selected. (b) The second urn was selected.
Ray is an airline inspector and completed an average of u = 10 inspections each day. The distribution of daily inspections is approximately normal with a standard deviation of o 2 inspections. For a randomly selected day, what is the probability that Ray completes less than 9 inspections? a) 0.3413 O b) 0.1587 c) 0.3085 d) 0.6915
Employees in a business have a standard normal distribution with an average monthly salary of 1700Ł and a standard deviation of 500Ł. What is the probability that a randomly selected person's monthly salary is LESS than $2000? a) 0.2257 B) 0.3487 O NS) 0.7257 D) 0.4356 O TO) 0.6736
A very large charity has pledges (in dollars) with a mean of 89 and a standard deviation of 23. Suppose we randomly select 121 charity pledges. Let M be the random variable representing the mean pledge size of the 121 selected pledges. Let T be the random variable representing the total amount (sum) of the 121 selected pledges. b) What is the expected value of T? c) What is the standard deviation of T? d) What is the approximate probability that T is greater than 11000? e) What is the 95th percentile of the approximate distribution of T? Please solution USING R script
a) is the maximum probability of making a Type I error that we are willing to accept b) is the same as the population proportion, p c) measures the number of standard deviations from the mean d) is the probability of making a Type II error e) is the same as alpha
At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 73 and a standard deviation of 11. The scores on the calculus final are also approximately normally distributed, with a mean of 78 and a standard deviation of 12. A student scored 79 on the chemistry final and 81 on the calculus final. Relative to the students in each respective class, in which subject did the student do better? a) Calculus b) There is no basis for comparison c) Chemistry d) The student did equally well in each course e) None of the above
The population mean time it takes to empty a bottle of liquid is 80 minutes with a standard deviation of 6 minutes. A sample of 60 bottles is taken. What is the probability that the sample mean is at most 78 minutes? A) 0.9951 B 0.9963 C) 0.0037 D) 0.0049
The mean score in the college entrance examination of 50 with a standard deviation of 12. If a sample of size 36 is taken,a) find the mean and standard deviation of the sample mean, x̄.b) what is the probability that x̄ is less than 48.5?c) what is the probability that x̄ is greater than 53?
The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately normally distributed. For a randomly selected worker, what's the approximate probability the bolt will be inserted in 19 minutes or less? Round to the nearest whole percent. A) 16% B) 84% C) 50% D) 18%
The length, X, of a lionfish is a normally distributed random variable with a mean of 13.5 inches and a standard deviation of 2.4 inches. Suppose that we measure the lengths of 150 randomly chosen lionfish. Let M be the sample mean of the 150-length measurements. Let S be the sum of the 150 length measurements.a) What is the probability that X < 9.3? b) What is the probability that X > 9.3? c) What is the probability that all of the 150 measurements are greater than 9.3? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-150*13.5 >10? g) What is the standard deviation of S-150*13.5 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >13.6? k) What is the standard deviation of 30*M? l) If the probability of X > k is equal to .8, then what is k?

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