Answer:
0.073
Step-by-step explanation:
Given information:
Probability of ethnic minorities (P) = 0.33
Number of Trials (n) = 10
Required successes (x) = 6 or more
To find the answer for this problem we will employ the Binomial Probability equation
[tex]b(x; n, P) = nCx * P^x * (1-P)^n^-^x[/tex]
To find the answer for 6 or more success we first calculate the following values
1) 6 success
2) 7 success
3) 8 success
4) 9 success
5) 10 success
so
[tex]b6 = 10C6 * (0.33)^6 * (1-0.33)^1^0^-^6 = 0.0547[/tex]
[tex]b7 = 10C7 * (0.33)^7 * (1-0.33)^1^0^-^7 = 0.0154[/tex]
[tex]b8 = 10C8 * (0.33)^8 * (1-0.33)^1^0^-^8 = 2.841 * 10^-^3[/tex]
[tex]b9 = 10C9 * (0.33)^9 * (1-0.33)^1^0^-^9 = 3.110 * 10^-^4[/tex]
[tex]b10 = 10C10 * (0.33)^10 * (1-0.33)^1^0^-^10 = 1.532 * 10^-^5[/tex]
Adding all these values we get the probabilities we get 0.0732
