Question

The probability that a professor in the business department is full time is 30%. If we randomly select 9 professors; What is the probability that 3 or fewer of them are FULL TIME

Answer 1

The probability that a professor in the business department is full time is $30$%. If we randomly select $9$ professors; the probability that $3$ or fewer of them are FULL TIME is $10$%

How can find the probability of full time ?

Probability of selecting $3$ from $9$people = $3/9$

Probability of selecting $2$ people= $2/9$

Probability of selecting $1$ people=$1/9$.

Probability of selecting up to to 3 people is $1/9+2/9+3/9 = 6/9$.

Every person who got selected is full time person has probability $0.3$

=> For selection of people up to $3$ is

$=\frac{3}{9} *0.3\\=0.1$

$=10$%

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