Prescott National Bank has 6 tellers available to serve customers. Let the random variable X be the number of tellers that are busy at 1pm on any given business day. The following is the probability distribution of X: Value of X 0 1 2 3 4 5 6 Probability 0.02 0.05 0.08 0.14 0.23 0.27 0.21 Find the probability that 4 or fewer tellers are busy, P(X < 4). ["", "", "", ""] .31 .44 .57 .52 Find the mean of the random variable X, μμ X = ["", "", "", "", ""] 4.16 4.88 3.34 3 3.5 Find the standard deviation of the random variable X, σσ X = ["", "", "", ""] .7291 1.8183 1.5213 1.0226
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.
Prescott National Bank has 6 tellers available to serve customers. Let the random variable X be the number of tellers that are busy at 1pm on any given business day. The following is the
|
Value of X |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
Probability |
0.02 |
0.05 |
0.08 |
0.14 |
0.23 |
0.27 |
0.21 |
Find the probability that 4 or fewer tellers are busy, P(X < 4). ["", "", "", ""] .31 .44 .57 .52
Find the mean of the random variable X, μμ X = ["", "", "", "", ""] 4.16 4.88 3.34 3 3.5
Find the standard deviation of the random variable X, σσ X = ["", "", "", ""] .7291 1.8183 1.5213 1.0226
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