Mathematics: Suppose that 45% of Computer Science Majors are currently taking a math class. If 5 Computer Science Majors are randomly chosen, what is the probability that all five are not taking a math class

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Suppose that 45% of Computer Science Majors are

19thomasar

06.02.2022

0.01845

Step-by-step explanation:

Given : The probability that the Computer Science Majors are currently taking a math class : p= 0.45

Sample size : n= 5

Let x be the number of Computer Science Majors are currently taking a math class(successes).

Binomial probability formula: $P(X=x)=\ ^nC_xp^x(1-p)^{n-x}$

The probability that all five are not taking a math class will be :

$P(X=5)=^{5}C_5(0.45)^5(1-0.45)^0\\\\=(1)(0.45)^5(1)\\\\= 0.0184528125\approx0.01845$

Hence, the required probability = 0.01845

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