What is the expectation of the number of tosses required, Advanced Statistics

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Question 1 A box contains 20 fuses of which 5 are defective If 2 fuses are chosen together at random what is the probability that both the fuses are defective?

Question 2 A coin is tossed until ahead appears What is the expectation of the number of tosses required?

Question 3 If the probability that an individual suffers a bad reaction from injection of a given serum is 0.001, find the probability that out of 2000 individuals (a) exactly 3, (b) more than 2, individuals will suffer from a bad reaction

Question 4 Explain about the sampling distributions of a static and its standard error


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