selected.
(2.5 marks)
i. To find the probability that less than two students come from rural family, we need to find the probabilities for 0 and 1 students coming from rural family and then add them together.
Let X be the number of students coming from rural family out of 10 students randomly selected.
P(X = 0) = (0.55)^10 = 0.0019
P(X = 1) = 10*(0.55)^1*(0.45)^9 = 0.0189
Therefore, P(less than 2 students come from rural family) = P(X = 0) + P(X = 1) = 0.0019 + 0.0189 = 0.0208
ii. To find the probability that greater than at least one student comes from a rural family if seven students are randomly selected, we need to find the complement of zero students coming from a rural family.
Let Y be the number of students coming from rural family out of 7 students randomly selected.
P(Y > 0) = 1 - P(Y = 0) = 1 - (0.55)^7 = 1 - 0.0138 = 0.9862
Therefore, the probability that at least one student comes from a rural family is 0.9862.
Study shows that 45% of students in SMK Cemerlang come from rural family.
i. Find the probability that less than two students come from rural family if ten students are randomly selected.
(2.5 marks)
ii. Find the probability that greater than at least one students come from rural family if seven students are randomly
1 answer