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deviation of 12mm.
a) A book is obtained from the bookstore, find the probability that
i) The book is thinner than 30mm.
ii) The book’s thickness is between 34mm and 50mm.
b) 10 books are chosen from the bookstore at random, the mean thickness of that 10 books,
c) A box contains 25 Balls, 20% of them are white whereas the rest of them are black. A person randomly
chooses 3 balls from the box without replacement, find the probability of getting 3 black balls.
(6 marks)
d) 20% of all Malaysian citizens are under the age of 15. A company randomly chooses 3 Malaysian
citizens (without replacement), find the probability that all the three people chosen are age 15 or older.
Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 9.7 and standard deviation 2.4. For applicants who actually entered medical school, the mean score was 10.9 and the standard deviation was 1.6.
(a) What percent of all applicants had scores higher than 11?
S U N S H I N E
Find the total number of ways of forming the word if
a) The word is 8-letter long. The letters can be in any combinations.
b) The word is 8-letter long. The word must begin with a consonant and end with a vowel.
c) The word is 2-letter long.
d) The word is 6-letter long. All the letters must be different.
deviation of 12mm.
a) A book is obtained from the bookstore, find the probability that
i) The book is thinner than 30mm.
ii) The book’s thickness is between 34mm and 50mm.
b) 10 books are chosen from the bookstore at random, the mean thickness of that 10 books,
The number of visits to a website in one hour has the following probability mass function
{1/10 , 𝑥 = 0
𝑝(x)= { 𝑘𝑥/10 , 𝑥 = 1,2,3
{ 𝑘(6−𝑥)/15 , 𝑥 = 4,5
a) Determine the value of 𝑘.
With the value of 𝑘 obtained:
b) Find the probability of having
i) 3 visits in one hour.
ii) less than 2 visits in one hour.
iii) more than 6 visits in two hours.
c) By using central limit theorem, estimate the probability of having less than 253 visits in 100 hours.
30% of them are red, the rest of them are blue.
A ball is taken at random from Bag A and put into Bag B. Then, a ball is then taken at random from
Bag B. Find the probability of having a red ball eventually.
b) 10% of the students in Malaysia use ClassWiz Calculator. 30% of the students in Singapore use
ClassWiz Calculator.
A student is chosen at random from Malaysia to further his/her studies in Singapore. Then, a student
is chosen at random from Singapore. Find the probability of having a student who uses ClassWiz
Calculator eventually.
hits the target is 1/3.
.
a) If Ali shot the target 8 times, find the probability that he hit the target for
i) Exactly 2 times.
ii) 3 times or more.
b) Ali and Baba each shot the target 3 times, find the probability that they hit the target with the same
number of arrows each (either 0,1,2 or 3).
c) Ali keeps shooting at the target until he eventually hits the target once. Find the probability that he
takes 5 shots to do so.
d) Baba keeps shooting at the target until he eventually hits the target twice. Find the probability that he
takes 4 shots to do so.
