According to government data, 44% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women are randomly selected: a. What is the probability that exactly 2 of them have never been married?
b. That at most 2 of them have never been married?
c. That at least 13 of them have been married?

Solution :

Given :

P (never married) = P = 0.44

Sample size, n = 15

Let (n = 15, P = 0.44)

P(X = x) =

a). The probability that exactly two of them have been married is

P(X=2) =

        = 0.0108

b). That at most two of them have never been married.

= 0.000167+0.001969+0.010828

= 0.012964

= 0.0130

c). That at least 13 of them have been married.

P(married) = 1 - P(never married)

                 = 1 - 0.44

                = 0.56

= 0.012964

=0.0130

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

560

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