Easy -1.2 This is a straightforward binomial distribution question requiring only recognition of the standard coin-flipping scenario (part a) and direct application of binomial probability formulas (part b). The calculations are routine with no problem-solving insight needed, making it easier than average.
7. Emma throws a fair coin 15 times and records the number of times it shows a head.
a State the appropriate distribution to model the number of times the coin shows a head giving any relevant parameter values.
b Find the probability that Emma records:
i exactly 8 heads
ii at least 4 heads.
7. Emma throws a fair coin 15 times and records the number of times it shows a head.\\
a State the appropriate distribution to model the number of times the coin shows a head giving any relevant parameter values.\\
b Find the probability that Emma records:\\
i exactly 8 heads\\
ii at least 4 heads.
\hfill \mbox{\textit{SPS SPS SM Statistics 2021 Q7 [6]}}