1991 - WAEC Mathematics Past Questions and Answers - page 4
P = {2, 1,3, 9, 1/2}; Q = {1,21/2,3, 7} and R = {5, 4, 21/2}. Find P∩Q∩R
In a class of 80 students, every student had to study Economics or Geography or both Economics and Geography. lf 65 students studied Economics and 50 studied Geography, how many studied both subjects?
Which of the following is not a measure of dispersion?
The mean of 30 observations recorded in an experiment is 5. lf the observed largest value of 34 is deleted, find the mean of the remaining observations
x = 5, \(\frac{\sum {fx}}{\sum {f}}\) =
5= \(\frac{\sum {fx}}{30}\)
\(\sum {fx}\) = 5 x 30 = 150; 150 - 34 = 116
\(\sum {f}\) = 29
\(\sum {fx}\) = 116
= \(\frac{116}{29}\) = 4
If events X and Y are mutually exclusive, . P(X) = 1/3 and P(Y) = 2/5, P(X∩Y) is
P(X \(\cap\) Y) = \(\frac{1}{3} \times \frac{2}{5}\)
= \(\frac{2}{15}\)
If events X and Y are mutually exclusive, P(X) = 1/3 and P(Y) = 2/5, P(X∪Y) is
P(X \(\cup\) Y) = \(\frac{1}{3} + \frac{2}{5}\)
= \(\frac{11}{15}\)
A box contains 2 white and 3 blue identical marbles. If two marbles are picked at random, one after the other without replacement, what is the probability of picking two marbles of different colors?
Total number of marbles = 5; 1st pick = 2/5 2nd pick = 3/4; 3rd pick = 3/5; 4th pick = 2/4
∴ Probability of picking two marbles of different colors = (2/5 x 3/4) + (3/5 + 2/4) = 12/20 = 3/5