The COVID-19 outbreak has been impacting our lives in many ways. In Australia, 75% of

people believe that the first social lockdown measures worked well to control the spread of the

disease across the country. A random sample of 25 people was selected and asked their opinion

on the following statement ‘the social lockdown measures worked well to control the spread

of the disease’.

a. If the random variable X is the number of people in the sample who believe that the

lockdown worked well to control the spread of the disease, say why X could be considered

to have a binomial distribution. (3

marks)

b. State the value/s of parameter/s of X. (1 mark)

c. Calculate (using the appropriate statistical tables) the probability that twenty people in the

sample agreed with the statement. (3 marks)

d. Calculate (using the appropriate statistical tables) the probability that more than half the

people surveyed disagreed with the statement. (3 marks)

e. Verify your answers to parts c. and d. using the appropriate Excel statistical function and

demonstrate you have done this by including the Excel formula used. (2 marks)

f. Say what the value

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