In a classroom of 30 students, 3 of the students wear wrist watches.
a) If 14 students are selected with replacement, what is the probability that exactly 2 of them wear wrist watches?
b) If 14 students are selected without replacement, what is the probability that exactly 2 of them wear wrist watches?
Ans:
a)with replacement
n=14,p=3/30=0.1
Probability that exactly 2 them wear wrist watches
=14C2*0.1^2*(1-0.1)^12
=0.2570
b)
Probability that exactly 2 them wear wrist watches
=3C2*27C12/30C14
=3*17383860/145422675
=0.3586
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