In the following table, the random variable x represents the number of students that a statistics tutor may see on any given day and P(x) represents the probability that the tutor sees that number of students. x 0 1 2 3 4 5 P(x) 0.11 0.18 0.36 0.16 0.14 0.05 a) Confirm if this is a legitimate probability distribution by stating the conditions that must be satisfied and describing/showing how they are satisfied. Explain. b) Find and report the mean and the standard deviation of this distribution. c) Based on this distribution, what is the probability that a tutor sees at least two students on a certain day?
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.
In the following table, the random variable x represents the number of students that a statistics tutor may see on any given day and P(x) represents the probability that the tutor sees that number of students. x 0 1 2 3 4 5 P(x) 0.11 0.18 0.36 0.16 0.14 0.05
a) Confirm if this is a legitimate probability distribution by stating the conditions that must be satisfied and describing/showing how they are satisfied. Explain.
b) Find and report the mean and the standard deviation of this distribution.
c) Based on this distribution, what is the probability that a tutor sees at least two students on a certain day?
d) Based on this distribution, what is the probability that a tutor sees either three or four students on a certain day?
e) Based on this distribution, what is the probability that a tutor sees exactly 10 students on a certain day?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
