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The average number of milligrams of cholesterol in a cup of a certain brand of milk tea is 500 mg, and the standard deviation is 30 mg. Assume that the data is normally the data is normally distributed.


A. If the 30 cups of milk tea are randomly selected, what is the probability that the cholesterol content Will be less than 510mg?


B. If the 30 cups of milk tea are randomly selected, what is the probability that the cholesterol content Will be grater than 510mg?


A marketing research analyst selects a random sample of ten customers out of the fourty

who purchased a particular item from central store. The ten customers purchased different item 

from central store i.e. 11, 37, 25, 62, 51, 21, 18, 41, 32, 20. If a random sample of ten items are 

selected, what is the probability that customer will have a mean item which is a) at least thirty 

one b) at most fifty five c) between thirty nine and fifty six d) mean item is fifty percent and e) 

mean item is hundred percent.

b) ) From the following variables, Categories them and also write a reason? 

Number of children per family, Watch, Age, length of hair, Willing, weight of a box, love, height of 

a tree, color of Shirts, life of a person, interest, hate, Speedo meter, number of citizens of a 

country, employee performance, behavior, temperature, life of bulb.


A firm report 35% of the probability that its accounts receivable from other business firms are overdue. If an accountant takes a random sample of five such accounts, then construct the probability distribution table for accounts are overdue.


A multiple choice quiz has 400 questions, each question with five possible answers of which one is correct answer. What is the probability that a sheer guess yields exactly 80 correct answers using normal approximation.     


A company gives an aptitude test to potential employees. The scores are normally distributed with mean 250 and S.D 50.What is the probability that a score is selected at random will be Between 230 and 260.


The number of entries made in accounts receivable is a poisson distribution with average 2 per day .What is the probability that on a specified day at least 3 entries will be received?     


a team of 3 players has selected from among 9 players what is the probability of that 2 particulars to be included at that team


 The mean IQ is 100 with a standard deviation of 15. The Z-score of an IQ of 117 is 

A random sample of fourty six funds averages a 16.9 per cent annual investment return for 2001–2 with a standard deviation of 3.6 per cent annual return. The BSE Stock Index grew at an annual average rate of 16.3 per cent over the same period. Do these data show that, on the average, the mutual funds out-performed the BSE Stock Index during this period?



Repeated tests on the determination of human blood composition during a laboratory 

analysis are known to be normally distributed. Ten tests on a given sample of blood yielded the 

values 1.002, 0.958, 1.014, 1.009, 1.031, 1.048, 1.024, 1.019, 1.020. Find a 90 per cent 

confidence interval for true composition of the blood in repeated tests of the sample, and what is 

the margin of error?

 A random sample of fourty six funds averages a 16.9 per cent annual investment return for 

2001–2 with a standard deviation of 3.6 per cent annual return. The BSE Stock Index grew at an 

annual average rate of 16.3 per cent over the same period. Do these data show that, on the 

average, the mutual funds out-performed the BSE Stock Index during this period?


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