i. To find the probability that less than two students come from rural family, we need to calculate the probability of 0 students and 1 student coming from rural family.
Probability of 0 students coming from rural family:
P(0) = (55/100)^10
Probability of 1 student coming from rural family:
P(1) = 10C1 * (45/100) * (55/100)^9
Adding these two probabilities together:
P(0 or 1) = P(0) + P(1)
P(0 or 1) = (55/100)^10 + 10C1 * (45/100) * (55/100)^9
ii. To find the probability that greater than at least one student come from a rural family, we need to calculate the probability of 1 student, 2 students, 3 students, 4 students, 5 students, 6 students, and 7 students coming from rural family.
We will then add these probabilities together to get the total probability of at least one student coming from a rural family.
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.
(2.5 marks)
1 answer