A city council consists of seven Democrats and six Republicans. If a committee of five people is selected, find the probability of selecting two Democrats and three Republicans.

solution,

let d and r denote democrats and republicans respectively.

given,

no. of total sample space n(s) =7+6=13

no. of total democrats n(d)=7

no. of total republicans n(r)=6

no. of democrats events n(D1)=2

no. of republicans events n(R1)=3

it is a mutually exclusive event. so the probability of selecting two democrats and three republicans= {n(D1)/n(s)} * {n(r1)/n(s)}

=(2/13)*(3/13)

=6/169

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

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step-by-step explanation: