Question 1

(a) In a survey carried out in one of the residential areas, it is found that 2 out of 15 residents have laptops. If 7 residents from that residential are chosen at random, calculate the probability that

1. exactly 2 residents have laptops
2. more than 2 residents have laptops                                                                (5 marks)

(b) The height of a male students in a selected college is normally distributed with a mean of 167cm and a standard deviation of 16cm

1. A male student from that college is selected at random. Calculate the probability that his height is less than 170cm
2. It 20% of the tallest among the male students is selected  to undergo a basketball selection program, calculate the minimum height of the male students selected.

                                                                      ( 3 marks)

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