Find the indicated binomial probability. Round to five decimal places when necessary.
-In a certain college, 20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 2 belong to an
Ethnic minority?
A)1.8
B)0.30199
C)0.00671
D)0.00007

Question

Find the indicated binomial probability. Round to five decimal places when necessary.
-In a certain college, 20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 2 belong to an
Ethnic minority? 
A)1.8
B)0.30199
C)0.00671
D)0.00007

Quizplus · Accepted Answer

The probability can be calculated using the binomial probability formula, which is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials (10 students), k is the number of successes (2 students belonging to an ethnic minority), and p is the probability of success on a single trial (20% or 0.20). Plugging in the values gives P(X = 2) = (10 choose 2) * (0.20)^2 * (0.80)^8, which calculates to approximately 0.30199.

Find the Indicated Binomial Probability