The 1300 train from Jahor to Keman runs every day. The probability that the train arrives late in Keman is $$$0.35$$$. For a random sample of 7 days, find the probability that the train arrives late on fewer than 3 days. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w20_qp_53 Year：2020 Question No：4(a)

Answer:

$0.65^{7}+{ }^{7} \mathrm{C}_{1} 0.65^{6} 0.35^{1}+{ }^{7} \mathrm{C}_{2} 0.65^{5} 0.35^{2}$
$0.049022+0.184776+0.29848$
$0.532$

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,...)

Answer:

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