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 7 belong to an ethnic minority?

0.000786432

Step-by-step explanation:

In a certain college,20% of the physics majors belong to ethnic minorities

The proportion p = 20%

= 0.2

q = 1 - 0.2 = 0.8

1f 10 students are selected at random from the physics majors

n = 10

x = 7

The formula for Binomial Probability is

= nCx × p^ x × (1−p)^ n−x .

= 10C7 × p⁷ × (0.8) ^10 - 7

= 0.000786432

The probability that exactly 7 belong to an ethnic minority is 0.000786432

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