During the economic downturn caused by the ongoing pandemic, a last semester student goes to career fair booths in a Career Carnival. His/her likelihood of receiving an off-campus interview invitation after a career fair booth visit depends on how well he/she did in BUS201. Specifically, an A in BUS201 results in a probability p = 0.25 of obtaining an invitation, whereas a C Grade in the same course results in a probability of p = 0.05 of an invitation. e. Find the probability that an ‘A’ student in BUS201 will receive exactly 3 off-campus interview invitations after visiting 8 career fair booths.f. Find the probability that a ‘C’ student in BUS201 will receive less than 3 off-campus interview invitations after visiting 6 career fair booths.g. What is the mean, variance and standard deviation of the number of invitations received by an ‘A’ student if s/he visits 8 career fair booths?h. Using Poisson distribution, determine the probability that an ‘A’ student receives exactly 3 off-campus interview invitations having visited 8 booths (Use the mean from (g) as ?)?i. On average, 2 students per semester receive an appointment letter before graduation. What is the probability that more than 7 students will receive invitations in the year 2020?
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. His/her likelihood of receiving an off-campus interview invitation after a career fair booth visit depends on how well he/she did in BUS201. Specifically, an A in BUS201 results in a probability p = 0.25 of obtaining an invitation, whereas a C Grade in the same course results in a probability of p = 0.05 of an invitation.
e. Find the probability that an ‘A’ student in BUS201 will receive exactly 3 off-campus interview invitations after visiting 8 career fair booths.f. Find the probability that a ‘C’ student in BUS201 will receive less than 3 off-campus interview invitations after visiting 6 career fair booths.g. What is the mean, variance and standard deviation of the number of invitations received by an ‘A’ student if s/he visits 8 career fair booths?h. Using Poisson distribution, determine the probability that an ‘A’ student receives exactly 3 off-campus interview invitations having visited 8 booths (Use the mean from (g) as ?)?i. On average, 2 students per semester receive an appointment letter before graduation. What is the probability that more than 7 students will receive invitations in the year 2020?
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