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Statistics and probability
Dr. Khaled Ismael Almghari
Email :khaledalmghari@gmail.com
Phone No: 0599880590
Assessment
Midterm
Final
Assignments
Attendants
quizzes
20%
60%
10%
5%
5%
References books
Course Goals
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Explain various descriptive statistics including the
mean, median, mode, range, and standard
deviation for a given data set
Explain the construction and interpretation of
frequency histograms
Explain simple unconditional probabilities and
conditional probabilities
Define the probability mass function of a discrete
random variable and the binomial distribution
Define the probability density function of a
continuous random variable and the normal
distribution
Course Goals
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Define the expectation of a function of a random
variable
Define critical values
Explain approximating probabilities using the
Central Limit Theorem
Derive confidence intervals for population
parameters
Derive hypothesis tests for population parameters
Derive the Chi - Square Test of Independence for a
contingency table
Derive the linear regression parameter estimates
and correlation coefficient
Course Outcomes
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Calculate the mean, median, mode, range, and
standard deviation for a given data set
Create a frequency histogram for a given data set
Calculate a simple unconditional probability and
conditional probability
Calculate a probability from a probability mass
function of a discrete random variable and a binomial
distribution
Calculate a probability from a probability density
function of a continuous random variable and a
normal distribution.
Calculate an expectation of a random variable for a
given distribution.
Calculate a critical value from a normal, t, chi square, and f distribution.
Course Outcomes
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Calculate a probability using the Central
Limit Theorem.
Calculate an appropriate confidence interval
for a population parameter for a given data
set.
Perform an appropriate hypothesis tests for
a population parameter for a given data set.
Perform a Chi - Square Test of Independence
for a contingency table.
Calculate a linear regression for a given data
set.
Course Outlining
• 1st Week :Introduction, summarized and
graphing data.
• 2nd Week :Describe, explore and
compare data.
• 3rd Week: Continue of week#2 with
exercises.
• 4th Week: Probability and probability
distributions.
Course Outlining
5th Week: Probability and probability
distributions.
6th Week: Sampling distribution of means and
the central limit theorem.
7th Week: Review
8th Week: Midterm Exams.
9th Week: Point and Interval estimates.
10th Week: Sampling and experimental design.
11th Week: One and two sample tests of
hypothesis.
Course Outlining
12th Week: Simple linear regression.
13th Week: Multiple linear regressions –
analysis of variance (ANOVA test).
14th Week: Non parametric tests and
correlation.
15th Week: Review
16th Week: Start of Final Exams.
Good Luck
Any Questions?