During the economic downturn caused by the ongoing pandemic, a last semester student goes to career fair booths in a Career Carnival organised by School of Data and Sciences, BRACU. His/her likelihood of receiving an off-campus interview invitation after a career fair booth visit depends on how well he/she did in STA201. Specifically, an A in STA201 results in a probability p = 0.25 of obtaining an invitation, whereas a C in the same course results in a probability of p = 0.05 of an invitation. a. Give the PMF for the random variable Y that den
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
During the economic downturn caused by the ongoing pandemic, a last semester student goes to
career fair booths in a Career Carnival organised by School of Data and Sciences, BRACU. His/her
likelihood of receiving an off-campus interview invitation after a career fair booth visit depends
on how well he/she did in STA201. Specifically, an A in STA201 results in a probability p = 0.25 of
obtaining an invitation, whereas a C in the same course results in a probability of p = 0.05 of an
invitation.
a. Give the PMF for the random variable Y that denotes the number of career fair booth visits
a student must make before his/her first invitation including the visit that results in the
invitation. Express your answer in terms of p.
b. On average, how many booth visits must a ‘C’ student make before getting an off-campus
interview invitation? Find the standard deviation of the number of visits till the first invitation
for a ‘C’ student in STA201.
c. Find the probability that an ‘A’ student in STA201 will need at most 4 booth visits in order to
get the first off-campus interview invitation.
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