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Answer:
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) =
Step-by-step explanation:
The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women
That is probability of participants of television quiz of equal numbers of men and women that is 50 %of men and 50% of women.
p = 50/100 = 1/2
q = 1-p = 1 - 1/2 = 1/2
n =10
we will use binomial distribution
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) = P(x=0)+P(x=1)+P(x=2)
= +
by using formula
on simplification we get
= +
= +
=
<u>Conclusion</u>:-
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) =