(a) If the joint probability distribution of X and Yis given by Find (b) An elec

Question

(a)   If the joint probability distribution of X and Yis given by

Find

(b)   An electrical firm manufactures light bulbs thathave a length of life that is normally distributed with mean equalto 800 hours and a standard deviation of 40 hours. Find theprobability 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 snowduring the winter in a certain city in the eastern part of UnitedStates is 4.What is the probability that the school in this citywill close for 2 or more days during winter?

(b) Is there any inconsistency in the statement that the mean ofa binomial distribution is 20 and its standard deviation is 4? Ifno inconsistency is found what shall be the values of p, q andn.

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