Mathematics: Simplify the expression. کے قر 125x poter che correct answer.

Simplify the expression. کے قر 125x poter che correct

mazolethrin6876

09.04.2021

a) 0.17, b) 0.0363

Step-by-step explanation:

Since we have given that

Number of jurors selected = 12

Number of minorities of jurors = 2

(a) What proportion of the jury described is from a minority race?

$\dfrac{2}{12}=\dfrac{1}{6}=0.166666\approx0.17$

(b) If 12 jurors are randomly selected from a population where 46% are minorities, what is the probability that 2 or fewer jurors will be minorities?

Let X be the number of jurors who are minorities.

Probability of getting minorities = 0.46

Probability of getting no minorities = 1-0.46 =0.54

$P(X\leq 2)=^{12}C_0(0.54)^{12}+^{12}C_1(0.46)(0.54)^{11}+^{12}C_2(0.46)^2(0.54)^{10}\\\\P(X\leq 2)=0.0363$

Since the number of minorities juror are high among the population.

Hence, a) 0.17, b) 0.0363

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