Calculate the probability, Mathematics

Assignment Help:

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%?


Related Discussions:- Calculate the probability

Definition of minimum and maximum values, Definition 1.   We say that f...

Definition 1.   We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on. 2.  We say that at x = c ,

Systems of linear equation, a man can row a bangka at a rate of 5 km/h in s...

a man can row a bangka at a rate of 5 km/h in still water. It takes 10 minutes longer to row upstream a distance of 2km than he takes to row downstream. What is the rate of the cur

Multistage sampling, Multistage sampling Multistage sampling is similar...

Multistage sampling Multistage sampling is similar to stratified sampling except division is done on geographical/location basis, for illustration a country can be divided into

Multiplication and division, you want to share 34 pencils among 6 friends ....

you want to share 34 pencils among 6 friends .How many would each friend get?

Rational expressions, Now we have to look at rational expressions. A ration...

Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials.  Here are some examples of rational e

Shares and dividend, write a short note on shares and dividend under the fo...

write a short note on shares and dividend under the following heading: shares ,type of shares,face/nominal value of shares.

Determine whether the following numbers are odd or even, Determine whether ...

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

Iti, Gm signal is better than am signal becuase

Gm signal is better than am signal becuase

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd