i. To find the probability that less than two students come from rural family, we need to find the probability that either zero or one student comes from a rural family out of ten students randomly selected.
The probability of zero students coming from a rural family is 0.55^10 = 0.0019
The probability of one student coming from a rural family is 10C1 * 0.45 * 0.55^9 = 0.0096
Therefore, the total probability is 0.0019 + 0.0096 = 0.0115
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 probability that at least one student (1 or more) comes from a rural family out of seven students.
The probability of at least one student coming from a rural family is 1 - P(zero students coming from rural family) = 1 - 0.55^7 = 1 - 0.0030 = 0.9970
Therefore, the probability that greater than at least one student comes from a rural family if seven students are randomly selected is 0.9970.
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.
Give the right answer
1 answer
2 answers