Question 1 10 Marks (a) If the joint probability distribution of X and Y is give

Question

Question 1 10 Marks (a) If the joint probability distribution of X and Y is given by Find (b) An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 800 hours and a standard deviation of 40 hours. Find the probability that a bulb burns (i) Less than 778 hours. (ii) Between 778 and 834 hours. Question 2 20 Marks (a) The average number of days school is closed due to snow during the winter in a certain city in the eastern part of United States is 4.What is the probability that the school in this city will close for 2 or more days during winter? (b) Is there any inconsistency in the statement that the mean of a binomial distribution is 20 and its standard deviation is 4? If no inconsistency is found what shall be the values of p, q and n.

Explanation / Answer

mean, = 800 standard dev., = 40 P(X

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