Question

1. (a) The number of times that a student falls sick during his/her study in the university can be modelled by a Poisson distribution. It is found that a student falls sick L5 times,in a year on average. ) Find the probability that an engineering student falls sick more than 4.S K! al szk tr 3 tms the 4-year ul siuk mae tnein es in 2 times within the 4-year study. Give your answer correct to 3 dectmal laces. i) Peter is a second year engineering student and he has so far alen sick 3 times. What is the probability that Peter falls sick more than 4 times2Y in his 4-year study? Give your answer correct to 3 decimal places.A) (Gi) The university would like to improve the situation and try to achieve at least 65% of engineering students 6o not fall sick at alt within their 4- year study. If/à is the mean number or ttmes a student falls sick in a year, what should A be? (11 Marks) e ote: Question No. 1 continues on page 2.

Answer 1

①@ re-C): 1 U1.5 tomes in a yea 5x4 imes un 4 year 7112 冫6 ,'' mean, '_木可与 3 4 01 .66(1+6+18+36+54) = 104に 1-11 ee =6562) 0.762 나 ,U → No ot times un 4 year