Search & Filtering
Find:
a. What is the probability of the first selected person is a left-handed men and the second selected person is a right-handed men?
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.
a) 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.
b) 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.
The thickness of books in a bookstore follows a normal distribution with the mean of 45mm and the standard 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, 𝑋̅10, is measured. Find the probability that 𝑋̅10 lies between 43mm to 47mm.
c) 𝑛 books are chosen from the bookstore at random, the mean thickness of that 𝑛 books, 𝑋̅𝑛, is measured. Find the smallest value of 𝑛 so that P(44<𝑋̅𝑛<46)≥0.99 .
students take both foreign language and technology. What is the probability that a student takes technology given that the students takes foreign language?
(i) R1 = {(2,x), (y,4), (6,z)}
(ii) R2 = {(4,y), (y,4)}
(iii) R3 = {(2,x), (4,y), (6,z)}
(iv) R4 = {(4,y), (6,x), (4,x)}
(v) R5 = {(x,2), (4,z), (2,z), (6,y)}
