SOLVING PROBLEMS
INVOLVING DISCRETE
PROBABILITY
DISTRIBUTION
PROBLEM 1:
• The probabilities of a machine manufacturing are 1, 2, 3, 4, 5
and the defective parts are 0.75, 0.17, 0.04 , 0.025, and 0.01
respectively.
• Find the mean and variance of the probability distribution
and make a histogram
PROBLEM 2
• The table shows the number of computers sold per day at a
local computer store along with its corresponding probabilities.
Find the mean and variance of the distribution. Make a
histogram.
No. of
Computers
sold (X)
0
P(X)
0.1
1
0.2
2
0.3
3
0.2
4
0.2
X.P(X)
X²
x².P(x)
PROBLEM 3
A college statistics class has 20 students. The ages of these
students are as follows: One student is 16 years old, four are 18,
nine are 19, three are 20, two are 21, and one is 30. Let x be the
age of any student (randomly selected). Find the mean age of the
students and determine the variance and standard deviation.
Interpret the results.
Make a histogram.
Mommy Joyce is an online shop that sells cooked sisig. Joyce, the owner,
keeps a record of the number of tubs of sisig she sells. Below is her record
of her 10-day sales. Find the mean number of tubs of sisig sold in 10 days. If
she claims that the least number of tubs of sisig sold in a day in her online
shop is 24, is this a credible claim? Determine the variance and standard
deviation, interpret the results.