Mathematics, 09.10.2019 21:40, lily3934
The probability a student will drop an online course is 40%. in a class of 20, what is the probability that more than 5 students will drop the course?
Answers: 1
![P(X \ \textgreater \ 5) = 1 - P(X \leq 5) \\ \\ =1-[P(0)+P(1)+P(2)+P(3)+P(4)+P(5)] \\ \\ P(0)=^{20}C_0(0.4)^0(0.6)^{20}=1(1)(0.0000365616)=0.0000365616 \\ \\ P(1)=^{20}C_1(0.4)^1(0.6)^{19}=20(0.4)(0.0000609360)=0.000487488 \\ \\ P(2)=^{20}C_2(0.4)^2(0.6)^{18}=190(0.16)(0.000101560)=0.00308742 \\ \\ P(3)=^{20}C_3(0.4)^3(0.6)^{17}=1,140(0.064)(0.000169267)=0.012350 \\ \\ P(4)=^{20}C_4(0.4)^4(0.6)^{16}=4,845(0.0256)(0.000282111)=0.034991](/tpl/images/0304/7752/2d90f.png)
![P(X \ \textgreater \ 5) =1-[0.0000365616+0.000487488+0.00308742 \\ +0.012350+0.034991+0.090393] \\ \\ =1-0.141345 \\ \\ =0.858655 \\ \\ \approx86\%](/tpl/images/0304/7752/156af.png)
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The probability a student will drop an online course is 40%. in a class of 20, what is the probabili...
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