Question 1

Paper 2, calculatorEasy5 marks

A student uses the spinner shown in Figure 1. Each of its six sectors is equally likely to be selected. Let AA be the event that the spinner lands on a number greater than 44

123456
(a)

List the outcomes in AA

[1]
(b)

Determine P(A)P(A)

[1]
(c)

State P(A′)P(A') where A′A' is the complement of AA

[1]
(d)

Determine the expected number of times the spinner lands on a number greater than 44 in 3030 spins.

[1]
(e)

In a separate trial of 3030 spins, the spinner lands on a number greater than 44 eight times. Calculate the relative frequency of AA

[1]

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