A coin is tossed 7 times.
Calculate the number of possible combinations that gives 4 heads and 3 tails.
The particular solution of the second-order difference equation
yn+2 - 6yn+1 + 8yn = 0 n ≥ 2
subject to the initial conditions y0 = 3 and y1 = 2 may be written in the form
yn = A(2n) + B(4n) n ≥ 0.
Determine the values of (A, B).
When differentiating the product of two factors, u and v, the Product Rule can be used.
State the Product Rule.
A)
B)
C)
D)
Calculate the sum of the following non-terminating progression:
2/10, 2/40, 2/160, 2/640,...
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 box-plot 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:
Calculate the total area enclosed by the x-axis and the function below, between x = 1.5 and x = 2.
f(x) = 2x3
The probability density function f(x) for a random variable X is defined over the interval 0 to 1.
f(x) = 2(1-x).
Calculate the probability that X is greater than 0.5.
Describe the skewness of the following data:
Calculate the indefinite integral:
A)
B)
C)
D)
The variable s can take values between 2 and 6.
Identify which of the inequalities shown can be satisfied by at least one value of s.
