CSEC Additional Mathematics Paper 3 May/June 2022 - Free CXC Past Paper with Answers

The following table shows the results of a survey distributed to 400 adult participants to determine their opinions about receiving a COVID-19 vaccination. The tabulation summarizes the distribution of males/females (M/F) in the sample, as well as whether they were for vaccination (Y) or against vaccination (N).

(i) One of the researchers claims that the probability of a randomly selected participant being female or being for vaccinations is about 0.75. Determine whether the researcher's claim is true. (ii) Using appropriate steps, show that being male and being against vaccinations are not independent nor mutually exclusive events.

One of the researchers claims that the probability of a randomly selected participant being female or being for vaccinations is about 0.75. Determine whether the researcher's claim is true.

Using appropriate steps, show that being male and being against vaccinations are not independent nor mutually exclusive events.

Use a graphical method to determine the solutions (in terms of $\pi$) to the following simultaneous equations over the range $0 \le x \le 2\pi$: $y = 2 \sin 2x$ $y = \cos x$

Use a graphical method to determine the solutions (in terms of $\pi$) to the following simultaneous equations over the range $0 \le x \le 2\pi$: $y = 2 \sin 2x$ $y = \cos x$

Describe the periodicity and the amplitude of EACH graph.