Question

The percentage of students in four different faculty departments A, B, C and D are 40%, 30%, 20%, and 10% respectively. If you know that 80%, 85%, 87%, and 90% of each department students have passed last exam, what is the probability that a randomly selected student has passed the exam. (SMarks) . How many different ways can 3 red. 4 yellow, and 2 blue bulbs be arranged in a string of a ll. Suppose that a random variable X has a probability density function given by wedding lights with 9sockets? 5Marks f(c)- elsewhere 5Marks) a- Find the value of k that makes this a probability function b- Find the Cumulative distribution function Fix) and use it to evaluate P(04s xsI)

Answer 1

vin a x(1-X tRstoise フト 3Jo 2 x Vo

О-у 2 3 2.

9/ 0.3a 0255 171 0.o T pao = 0.839