JAMB Mathematics Past Questions & Answers - Page 333

1,661.

\(\begin{array}{c|c}
Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 18 & 22 & 20 & 16 & 10 & 14
\end{array}\)

The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

A.

\(\frac{1}{5}\)

B.

\(\frac{1}{2}\)

C.

\(\frac{2}{5}\)

D.

\(\frac{3}{4}\)

Correct answer is C

Let E demote the event of obtaining at least a 4
Then n(E) = 16 + 10 + 14 = 40

Hence, prob (E) = \(\frac{n(E)}{n(S)}\)

\( = \frac{40}{100}\)

\( = \frac{2}{5}\)

1,662.

In how many ways can a team of 3 girls be selected from 7 girls?

A.

\(\frac{7!}{3!}\)

B.

\(\frac{7!}{4!}\)

C.

\(\frac{7!}{3!4!}\)

D.

\(\frac{7!}{2!5!}\)

Correct answer is C

A team of 2 girls can be selected from 7 girls in \(^7C_3\)

\( = \frac{7!}{(7 - 3)! 3!}\)

\( = \frac{7!}{4! 3!} ways\)

1,663.

Find the standard deviation of 5, 4, 3, 2, 1

A.

\(\sqrt{2}\)

B.

\(\sqrt{3}\)

C.

\(\sqrt{6}\)

D.

\(\sqrt{10}\)

Correct answer is A

Mean x = \(\frac{\sum x}{n}\)

\( = \frac{5 + 4 + 3 + 2 + 1}{5}\)

\( = \frac{15}{5}\)

= 3

\(\begin{array}{c|c}
x & d = x - 3 & d^2 \\
\hline
5 & 2 & 4 \\
4 & 1 & 1 \\
3 & 0 & 0 \\
2 & -1 & 1 \\
1 & -2 & 4 \\
\hline
& & \sum d^2 + 10
\end{array}\)

Hence, standard deviation;

\( = \sqrt{\frac{\sum d^2}{n}} = \sqrt{\frac{10}{5}}\)


\( = \sqrt{2}\)

1,664.

Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6

A.

6

B.

5

C.

4

D.

3

Correct answer is B

First arrange the numbers in order of magnitude; 1,2,3,3,4,5,5,5,5,6,7,8,9,9,10 Hence the median = 5