A level maths intermediate stats questions, Exercises of Mathematics

A level maths intermediate stats questions

Typology: Exercises

2025/2026

Uploaded on 06/10/2026

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Questions
1. The probabilities of an event are:
P
(
A
)=0.35
Find
P
(
A'
)
.
2. A fair die is rolled twice. Find the probability of two sixes.
3. The mean of five numbers is 12. Find their total.
4. Calculate the standard deviation of:
2
,
4
,
6
5. A bag contains 4 red, 5 blue and 3 green balls. Find:
P
(green )
6. Find:
P
(
A B
)
if
P
(
A
)=0.6
,P
(
B
)=0.5
,P
(
A B
)=0.2
7. A discrete random variable has:
x 1 2 4
P(X=
x)
0.
2
0.
5
0.
3
Find
E
(
X
)
.
8. State one limitation of using the mean.
9. Find the median of:
10. A survey of 120 students found 72 liked maths. Estimate the
probability that a randomly selected student likes maths.
Answers
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Questions

  1. The probabilities of an event are:

P ( A )=0.

Find P ( A '^ ).

  1. A fair die is rolled twice. Find the probability of two sixes.
  2. The mean of five numbers is 12. Find their total.
  3. Calculate the standard deviation of:
  1. A bag contains 4 red, 5 blue and 3 green balls. Find:

P ( green )

  1. Find:

P ( A ∪ B )

if

P ( A )=0.6 ,P ( B )=0.5 ,P ( A ∩ B )=0.

  1. A discrete random variable has: x 1 2 4 P(X= x)

Find E ( X ).

  1. State one limitation of using the mean.
  2. Find the median of:
  1. A survey of 120 students found 72 liked maths. Estimate the probability that a randomly selected student likes maths.

Answers

  1. Sensitive to outliers.
  2. 10