Answer: 0.0187
Step-by-step explanation:
The binomial distribution formula for probability :-
, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.
Given : The probability that the physics majors belong to ethnic minorities =0.33
Number of students selected : n= 8
Now, the probability that more than 5 belong to an ethnic minority :-
![P(x>5)=P(6)+P(7)+P(8)\\\\=^8C_6(0.33)^6(0.67)^{2}+^8C_7(0.33)^7(0.67)^{1}+^8C_8(0.33)^8(0.67)^{0}\\\\=(\dfrac{8!}{6!2!})(0.33)^6(0.67)^{2}+(8)(0.33)^7(0.67)^{1}+(0.33)^8(0.67)^{0}\\\\=0.0186577086013\approx0.0187](https://tex.z-dn.net/?f=P%28x%3E5%29%3DP%286%29%2BP%287%29%2BP%288%29%5C%5C%5C%5C%3D%5E8C_6%280.33%29%5E6%280.67%29%5E%7B2%7D%2B%5E8C_7%280.33%29%5E7%280.67%29%5E%7B1%7D%2B%5E8C_8%280.33%29%5E8%280.67%29%5E%7B0%7D%5C%5C%5C%5C%3D%28%5Cdfrac%7B8%21%7D%7B6%212%21%7D%29%280.33%29%5E6%280.67%29%5E%7B2%7D%2B%288%29%280.33%29%5E7%280.67%29%5E%7B1%7D%2B%280.33%29%5E8%280.67%29%5E%7B0%7D%5C%5C%5C%5C%3D0.0186577086013%5Capprox0.0187)
Hence, the probability that more than 5 belong to an ethnic minority = 0.0187
Answer:
{1,2,3}
Step-by-step explanation:
The others will not show all the numbers from the set to make the inequality true
Answer:multiply the percent times 100
Step-by-step explanation:
Answer:
1st one
Step-by-step explanation:
Answer:
B 2/3
Step-by-step explanation:
it's positive 2 over 3
up two and over three
because it's rise over run
so your answer would be the 2nd option or B
I hope this helps! have a nice day/night, blessings, xx, nm <3 :)