A biased coin has the following probability distribution function:
P(heads) = 0.80
P(tails) = 0.20
The biased coin is tossed twice in succession.
Calculate the probability of tossing at least one tail.
Identify the condition that fully describes the existence of independence between two events A and B.
Calculate the sum of the following nonterminating progression:
2/10, 2/40, 2/160, 2/640,...
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.
A and B are the stationary points of f(x).
f(x) = 2x3  x2  8x + 8
A = (1,13)
B = (4/3,8/27)
Determine whether each stationary point is a maximum, minimum or point of inflexion.
A function f(x) is known for two values:
f(2) = 8 and f(5) = 14.
Using linear interpolation estimate f(3).
A)
B)
C)
D)
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