Question of central limit theorem

Assignment Help Basic Statistics

Reference no: EM1399483

State the Central Limit Theorem

The time spent by a factory worker A packing a box is a random variable with mean 3.5 minutes and standard deviation 1 minute. The times spent packing any two boxes are independent.

(i) What is the approximate probability that he packs 100 boxes in less than 6 hours?

(ii) What is the approximate probability that in 5.5 hours he will pack at least 90 and less than 100 boxes?

(iii) How long will he need to work for there to be 95% probability of packing 100 boxes?

(iv) A second worker B, does a similar job and the time it takes him to pack a box is a random variable with mean 3 minutes and standard deviation 1.2 minutes, independent of the time taken by A. The times spent by B packing any two boxes are independent. The two workers are assigned the job of packing 130 boxes each. Find the approximate probability that worker B will finish at least 50 minutes before worker A.

Reference no: EM1399483

Questions Cloud

Why sonata allegro form is dramatic and rewarding : Writing Assignment: Sonata Allegro form is frequent considered dramatic and rewarding. In what means is this so and why?

What is the meaning of traditional trespass to property : What did Bidder's Edge do that was dissimilar than eBay's normal customers? Why does it substance to eBay? What is the meaning of traditional trespass to personal property?

Should you enter into the contract explain why : Should you enter into the contract Explain why? According to the efficient market hypothesis Explain how much should the contract you are offered sale for?

Granulation tissue involve all the following except : Granulation tissue involve all the following except.

Question of central limit theorem : The time spent by a factory worker A packing a box is a random variable with mean 3.5 minutes and standard deviation 1 minute. The times spent packing any two boxes are independent.

Calcultate what is the value of enthalpy : Calcultate what is the value of enthalpy H reaction If the temperature increased from 35.0 degree celsius to 76 degree celsius and the heat capacity of the calorimeter = 23.3kj/c ? (the molar mass of C2H5OH = 46.07g/mol. )

Analyze aquarius with respect to five contextual variable : Analyze Aquarius with respect to the five contextual variables. Explain how would you express the environment, goals, culture, size and technology for Aquarius?

What is the present value of a monthly payment : What is the present value of a monthly payment of $200 for every month through the next 8 years? Presume that the rate of interest is 6% annually.

Explanation of central limit theorem : Explain how the Central Limit Theorem can help you convince your boss that while you can't get rid of sampling error the results from your statistical work (that is based on sampling) can still be useful.

User Account

All Pages