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Mathematics
WAEC / WASSCE 2016
Statistics and Probability
Solution
A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?
A
\(\frac{5}{36}\)
B
\(\frac{1}{6}\)
C
\(\frac{5}{18}\)
D
\(\frac{2}{3}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2016
Statistics and Probability
Solution
A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue
A
\(\frac{2}{9}\)
B
\(\frac{5}{18}\)
C
\(\frac{20}{81}\)
D
\(\frac{5}{9}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2016
Statistics and Probability
Diagram
Solution
Find the lower quartile of the distribution illustrated by the cumulative frequency curve
A
17.5
B
19.0
C
27.5
D
28.0
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2015
Statistics and Probability
Solution
The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both
A
\( \frac{2}{15} \)
B
\( \frac{3}{4} \)
C
\( \frac{9}{15} \)
D
\( \frac{1}{15} \)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2015
Statistics and Probability
Solution
The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?
A
1/2
B
1/3
C
2/5
D
3/4
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2015
Statistics and Probability
Solution
Score
0 - 4
5 - 9
10 - 14
Frequency
2
1
2
The table shows the distribution of the scores of some students in a test. Calculate the mean scores.
A
5.6
B
6.2
C
6.6
D
7.0
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2015
Statistics and Probability
Solution
The probability that kebba, Ebou and Omar will hit a target are \(\frac{2}{3}\), \(\frac{3}{4}\) and \(\frac{4}{5}\) respectively. Find the probability that only Kebba will hit the target.
A
\(\frac{2}{5}\)
B
\(\frac{7}{60}\)
C
\(\frac{1}{30}\)
D
\(\frac{1}{60}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2015
Statistics and Probability
Which of the following is used to determine the mode of a grouped data?
A
Bar chart
B
Frequency polygon
C
Ogive
D
Histogram
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2015
Statistics and Probability
Solution
Calculate the mean deviation of 5, 3, 0, 7, 2, 1
A
0.0
B
2.0
C
2.5
D
3.0
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2015
Statistics and Probability
Solution
The table shows the marks scored by some candidates in an examination.
Marks (%)
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
90-99
Frequency
7
11
17
20
29
34
30
25
21
6
(a) Construct a cumulative frequency table for the distribution and draw a cumulative frequency curve.
(b) Use the curve to estimate, correct to one decimal place, the :
(i) Lowest mark for distinction if 5% of the candidates passed with distinction ; (ii) probability of selecting a candidate who scored at most 45%.
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2014
Statistics and Probability
Solution
Find the minimum value of y = x2 - 2x - 3
A
4
B
1
C
-1
D
-4
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2014
Statistics and Probability
Solution
The mean of 2 - t, 4 + t, 3 - 2t, 2 + t and t - 1 is
A
t
B
-t
C
2
D
-2
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2014
Statistics and Probability
Solution
\(\begin{array}{c|c}
Values & 0 & 1 & 2 & 3 & 4 \\
\hline
Frequency & 1 & 2 & 2 & 1 & 9
\end{array}\)
Find the mode of the distribution above
A
1
B
2
C
3
D
4
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2014
Statistics and Probability
Solution
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
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2014
Statistics and Probability
Solution
\(\begin{array}{c|c}
Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 18 & 22 & 20 & 16 & 10 & 14
\end{array}\)
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
\(\frac{3}{4}\)
medium Difficulty
Study Solution