A-Level Maths | Binomial Distribution

Question 1

X ~ B(20, 0.4)

1. Find P(X = 3)
2. Find P(X = 6)
3. Find P(X = 9)
4. Find P(X = 12)
5. Find P(X = 15).

[0.0123, 0.1244, 0.1597, 0.0355, 0.0013]

Question 2

X ~ B(25, 0.35)

1. Find P(X ≤ 4)

b) Find P(X ≤ 7)

c) Find P(X ≤ 9)

d) Find P(X ≤ 12)

e) Find P(X ≤ 15).

[0.0173, 0.1998, 0.4247, 0.7800, 0.9579]

Question 3

X ~ B(30, 0.3)

a) Find P(X < 5)

b) Find P(X < 8)

c) Find P(X < 10)

d) Find P(X < 13)

e) Find P(X < 16).

[0.0258, 0.1405, 0.3828, 0.7699, 0.9626]

Question 4

X ~ B(20, 0.4)

a) Find P(X ≥ 5)

b) Find P(X ≥ 8)

c) Find P(X ≥ 10)

d) Find P(X ≥ 13)

e) Find P(X ≥ 16).

[0.8744, 0.5956, 0.2447, 0.0065, 0.0065]

Hypothesis testing

Left tail

Question 5

Question 6

Question 7

Question 8

Right tail

Question 9

Question 10

Question 11

Question 12

Two-tail

Question 13

Question 14

Critical value

Left tail

Question 15

Right tail

Question 16

Two-tail

Question 17

Question 18

Question 19