SPM 2018 Add Maths Paper 1, Question 24
Solved on video in English and Bahasa Melayu · 4 marks · 5:59 video
The question
A voluntary body organises a first aid course 4 times per month, every Saturday from March until September. [Assume there are four Saturdays in every month] Sueraya intends to join the course but she might need to spare a Saturday per month to accompany her mother to the hospital. The probability that Sueraya will attend the course each Saturday is 0.8. Sueraya will be given a certificate of monthly attendance if she can attend the course at least 3 times a month. (a) Find the probability that Sueraya will be given the certificate of monthly attendance. (b) Sueraya will qualify to sit for the first aid test if she obtains more than 5 certificates of monthly attendance. Find the probability that Sueraya qualifies to take the first aid test.
[4 marks]
5:59Step 1
Let X be the number of Saturdays Sueraya attends in a month. X follows a binomial distribution with n = 4 (Saturdays) and p = 0.8 (attend), q = 1 - 0.8 = 0.2 (absent).
9 more steps, each with the reason for it, in the full solution
Final answer
(a) 0.8192 (b) 0.6301
Where students lose marks
Watch out: in (b) use p = 0.8192, not 0.8, and n = 7. Y > 5 means leave out Y = 5.
Watch every step of this question solved on video (5:59), with the reason behind each step and a box that checks your own answer.
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