Qualification > Math
S1 and S2 DOUBTS HERE!!!!
lastgift:
Hi! Doubt in a continuous random variable question.
Q) 5 from this paper attached!
astarmathsandphysics:
here
ashwinkandel:
1.
A machine is used to fill cans of soup with a nominal volume of 0.450 litres. Suppose that the machine delivers a quantity of Soup which is normally fistributed with mean x litres and standard deviation y litres. Given that x= 0.457 and y= 0.004, find the probability thata randomly chosen can will contain less than the nominal value.[Ans:0.0401]
It is required by law that no more than 1% of cans contain less than the nominal volume
Find.
i. the least value of x which will comply with the law if y=0.004 [Ans:0.459]
ii. the greatest value of y which will comply wit the law if x= 0.457 [Ans:0.003]
astarmathsandphysics:
Give me time to get to pc
ashwinkandel:
One more confusion:
Q. On a particular day, 50% of the employees in a large company had arrived at work by 8.30 am, and 10% had not arrived by 8.55 am.
a. Assuming a normal modal, find the standard deviation of arrival times, in minutes.[Ans:19.50]
b. It is given that only 5% of the employees had arrived by 8.05 am. Without further calculation, explain why this might suggest that normal model is not appropriate [Ans: not symmetrical ... but can you give me explanation..... what is means..]
c. Eighty employees are selected at random. Find the expectation of the number of these employees that arrived between 8.30 and 8.55 a.m.[Ans:32]
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