3 (b) The number of successful projects (x) per day obtained by a small IT firm can be described by the following probab

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3 B The Number Of Successful Projects X Per Day Obtained By A Small It Firm Can Be Described By The Following Probab 1 (200.42 KiB) Viewed 25 times

3 (b) The number of successful projects (x) per day obtained by a small IT firm can be described by the following probability distribution function: (i) (ii) 0.5x – 1, Find P(X<2). f(x) = {0,5x Find the cumulative distribution function. 2<x< 4 otherwise (iii) Determine the mean and variance. (4 marks) (1 mark) (5 marks) A Gardenia factory produces breads where 2% are broken. The bread is packed into a box of 12 and it selected randomly. (1) Find the probability that the box contains exactly 2 broken breads. (5 marks) Find the probability that there are at least 3 broken breads in the box. (5 marks)