The graph shows the frequency distribution of the age of people with a certain kind of insurance contract.
Describe the shape of the underlying data.
Calculate the total area enclosed by the xaxis and the function below, between x = 1.5 and x = 2.
f(x) = 2x3
Consider a function f which has three variables, x1, x2 and x3.
Identify which of the following gives a correct definition of a partial derivative of the function f.
Determine which of the following statements are not true.
I. In a histogram the height of each rectangle equals the frequency of the interval
II. A boxplot chart is constructed to show the following values: Mean, Median, Upper Quartile, Minimum and Maximum
III. The set of data 2,2,5,7,8,8,9,10,11,12,14,16, 20 can be represented by the following frequency table:
The random variable X has the following probability density function ("PDF"):
Calculate: P(x ≥ 1.5)
X is a random variable with expected value E(X).
Identify which of the following is not a valid method for calculating the variance of X.
A discrete random variable can only take the values 2,3,4 or 5. The probabilities associated with some of the outcomes are: P(X=2) = 0.2, P(X=3) = 0.3, P(X=5) = 0.1.
For a randomly drawn value of X, calculate P(X>3).
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