A weekly pet insurance premium is given by a solution of the following equation:
4x2 - 11x - 3 = 0
Calculate the premium.
In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z, while the "digit" can be any number from 0 to 9. E.g: Z9835.
Calculate the probability of a sea vessel having an identification ending in "007".
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.
v = f(x, y, z) is a real valued function of 3 variables.
Express the partial derivative of v with respect to z in standard mathematical notation.
A)
B)
C)
D)
For the following data set, calculate the mean and median.
10, 8, 5, 7, 14, 5, 3, 9, 5, 8
1/5 of actuarial students like skiing.
2/5of actuarial students like snowboarding.
1/3 of actuarial students like skiing and snowboarding.
Calculate the proportion of actuarial students that like skiing or snowboarding.
A)
B)
C)
D)
An individual purchases a share in a company at a price of £45. Six months later he sells the share for £39.
Calculate the percentage change in the value of the share over the six month period, correct to one decimal place.