Answer: 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: [tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]
The probability that all five are not taking a math class will be :
[tex]P(X=5)=^{5}C_5(0.45)^5(1-0.45)^0\\\\=(1)(0.45)^5(1)\\\\= 0.0184528125\approx0.01845[/tex]
Hence, the required probability = 0.01845
