For the following data set, calculate the mean and median.
10, 8, 5, 7, 14, 5, 3, 9, 5, 8
Answer : A
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.
Answer : B
State what the limit of a function with input variable x represents.
Answer : B
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".
Answer : A
Identify the meaning of: | x | > 5
Answer : C
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.
Answer : A
Calculate -
Answer : C
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)
Answer : B
Using simple iteration, based on trial and improvement, the cubic equation below can be solved:
2x3 + 5x2 +7x - 12 = 0
Solve for x to 6 decimal places.
Answer : B
For random variable X, use the following statistics to calculate its coefficient of skewness based on central moments.
E(X) = 3.940 -
E(X2) = 21.466 -
skew(X) = E[(X - )3] = 6.008
Answer : C
Calculate which of the following is a simplification of (1 + x)2 - x2 + ln(e3x).
Answer : C
Integrate:
Answer : C
Determine which of the statements is true about the root(s) of the following equation:
Answer : C
The graph shows the frequency distribution of the age of people with a certain kind of insurance contract.
Answer : A
Three light bulbs are chosen at random from 15 bulbs of which 5 are known to be defective.
Calculate the probability that exactly one of the three is defective.
A)
Answer : C
Have any questions or issues ? Please dont hesitate to contact us