In order to encourage car-pooling doings, a new toll charge is to be introduced on the ERIZ Expressway. A charge of RM3, RM2, RM1, and RM0 are to be charged to 0, 1, 2, and 3 or more passengers respectively. TABLE 1 shows a probability distribution for the number of passengers in a single car. TABLE 1 x 0 1 2 ≥ 3 P(X = x) 0.40 0.35 0.20 0.05 .Calculate the standard deviation of tolls charged.
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.
QUESTION 1 (12 MARKS)
In order to encourage car-pooling doings, a new toll charge is to be introduced on the ERIZ
Expressway. A charge of RM3, RM2, RM1, and RM0 are to be charged to 0, 1, 2, and 3 or more
passengers respectively.
TABLE 1 shows a probability distribution for the number of passengers
in a single car.
TABLE 1
x 0 1 2 ≥ 3
P(X = x) 0.40 0.35 0.20 0.05
.Calculate the standard deviation of tolls charged.
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