Calculate the probability, Mathematics

Coal is carried from a rrrine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 36 tons of coal in each car. The actualweights of coal loaded into each car are normally distributed with a mean jJ. = 36 tons and a standard deviation g = 0.8 tons.

(a) What is the probability that ONE car chosen at random will have -less than 35.5 tons of coal?

(b) What is the probability that 20 cars chosen at random will have a mean load weight x less than 35.5 tonsof coal?

(c) Suppose that the weight of coal in one car was less than 35.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Suppose the weight of coal in 20 cars selected at random had an average x less than 35.5 tons, Would that fact make you suspect that the loader had slipped out of adjustment? Why?

2. To be licensed as a practical nurse, one must make a score in the-top 30% on the licensing exam. (15) The mean score of all strtdents tiling the exam is 79 with a standard deviation of 9 points and the scores are given in whole number values. What is the least score a student can make and be considered in the top 30%?

Posted Date: 2/15/2013 1:10:10 AM | Location : United States

Related Discussions:- Calculate the probability, Assignment Help, Ask Question on Calculate the probability, Get Answer, Expert's Help, Calculate the probability Discussions

Write discussion on Calculate the probability
Your posts are moderated
Related Questions
Sam''s sport''s equipment sells footballs. They maximized their profitability last year at (6,4) where x represents employees and P(x) represents profitability. Sam noticed that wh

Hypothesis Testing About The Difference Between Two Proportions Hypothesis testing about the difference between two proportions is used to test the difference between the propo

The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC?   a. 120° b. 135° c. 108° d. 144° a. The measure of an angle of a regula

What is the greater of two consecutive negative integers whose product is 132? Let x = the lesser integer and let x + 1 = the greater integer. Because product is a key word for

add 1 and 20 over 40 with 2 and 30 over 50

One-sided limits: We do this along with one-sided limits.  As the name implies, with one-sided limits we will just looking at one side of the point in question.  Following are the

Determine whether the following numbers are odd or even: Examples: Determine whether the following numbers are odd or even:  364, 1068, & 257. Solution: 1.

Jackie invested money in two different accounts, one of that earned 12% interest per year and another that earned 15% interest per year. The amount invested at 15% was 100 more tha

what is the difference between North America''s part of the total population and Africa''s part