Question1 (a) If the joint probability distribution of X and Yis given by ƒ (x,y

Question

Question1                                                                                                            

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

ƒ (x,y)=(x+y)   for x=0,1,2,3 and y=0,1,2

            30     

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.

Question2                                                                                                            

(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.

Explanation / Answer

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