A graduating student keeps applying for jobs until she has three offers. The probability of getting an offer at any trial is 0.48. a. What is the expected number of applications? What is the variance? b. If she has enough time to complete only six applications, how confident can she be of getting three offers within the available time? c. If she wants to be at least 95% confident of getting three offers, how many applications should she prepare?
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.
A graduating student keeps applying for jobs until she has three offers. The
probability of getting an offer at any trial is 0.48.
a. What is the expected number of applications? What is the variance?
b. If she has enough time to complete only six applications, how confident
can she be of getting three offers within the available time?
c. If she wants to be at least 95% confident of getting three offers, how many
applications should she prepare?
d. Suppose she has time for at most six applications. For what minimum
value of p can she still have 95% confidence of getting three offers within
the available time?
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