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The probability that an evening student will graduate is 0.8. Determine the probability that out of 5 students i) none ii) one iii) at least one will graduate.

It is known from the past experience that in a certain factory 3% products are defective. A sample of 100 items are taken at random. Find the probability that exactly 5 products are defective.

The mean yield for one acre plot is 662 Kgs with a standard deviation of 32 Kgs. Assuming normal distribution how many one acre plots in a batch of 1000 plots would you expect to have a yield i) Over 700 Kgs ii) Below 650 Kgs.

An accountant has determined from prior experience that that 60% of his clients respond to initial requests for confirmation of their account balances. If a random sample of 64 customers is sent requests for confirmation, what is the probability that 50% or more will respond?

For a particular brand of tube lights , it is known that the mean operating life of the tubes is 1,200 hours with a standard deviation of 210 hours. What is the probability that the mean for a random sample of size 100 will be between1140 and 1260 hours?

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