On any given day, the probability that Moena messages her friend Pasha is $$\(0.72\)$$. Find the probability that for a random sample of 12 days Moena messages Pasha on no more than 9 days. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_s20_qp_52 Year：2020 Question No：7(a)
Answer:
\(1-\mathrm{P}(10,11,12)\)
\(=1-\left[{ }^{12} \mathrm{C}_{10} 0.722^{10} 0.28^{2}+{ }^{12} \mathrm{C}_{11} 0.72^{11} 0.28^{1}+0.72^{12}\right]\)
\(1-(0.19372+0.09057+0.01941)\)
\(0.696\)
\(=1-\left[{ }^{12} \mathrm{C}_{10} 0.722^{10} 0.28^{2}+{ }^{12} \mathrm{C}_{11} 0.72^{11} 0.28^{1}+0.72^{12}\right]\)
\(1-(0.19372+0.09057+0.01941)\)
\(0.696\)
Knowledge points:
5.4.2 use formulae for probabilities for the binomial and geometric distributions, and recognise practical situations where these distributions are suitable models (Including the notations B(n,p) and Geo(p). Geo(p) denotes the distribution in which for r = 1,2,3,...)
Solution:
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