Weight of goods shipped in containers of a certain size is anormally distributed random variable. It is known that 78% of thecontainers have a net weight above 4.3 tons, and 83% of the containershave net weight below 5.9 tons. Find the mean and standard deviation ofthe net weight of the containers.

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Answered: Weight of goods shipped in containers…

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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Similar questions

The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last less than 280 days.
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Suppose the mean number of candies in a standard vending machine bag is 47.6 with a standard deviation of 1.3 . assume that the number of candies is normally distributed what percentage of bags have less than 45 candies?
The gas mileage for a new model of car is normally distributed, with a standard deviation of 3.5 miles per gallon. If only 4% of the cars have a gas mileage of above 20 mpg, what is the mean of the distribution
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times for a surgical procedure are normally distributed. there are two methods. method a has a mean of 29 minutes and a standard deviation of 5 minutes, while method b has a mean of 33 minutes and a standard deviation of 25 minutes. which procedure is preferred if the procedure must be completed within 37 minutes. method a, b, or either method
The average labor cost for car repairs for a large chain of car repair shops is P520. The standard deviation is P40. Assume the variable is normally distributed. If a store is selected at random, find the probability that the labor cost will range between P450 and P530. If 15 stores are elected at random, find the probability that the mean of the sample will be between P450 and P530. Which answer is larger? Explain why?
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 136 lband a standard deviation of 29.6 lb. b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 130 lb and 181 lb.
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The results of a statistics examination follow an approximate normal distribution with a mean of 68 and a variance of 64. Grade A is awarded to students who score more than 82.What is the probability that a student gets a Grade A? a. 0.0401 b. 0.9599 c. 0.5871 d. 0.4129

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