Mathematics, 25.02.2020 02:58 alicia186

(1 point) In a survey of 207 people, the following data were obtained relating gender to political orientation: Republican (R) Democrat (D) Libertarian (L) Total Male (M) 61 22 18 101 Femal (F) 52 42 12 106 Total 113 64 30 207 Be accurate to 4 decimal places. A person is randomly selected. What is the probability that the person is: a) Male? b) Male and a Democrat? c) Male given that the person is a Democrat? d) Republican given that the person is Male? e) Female given that the person is a Libertarian? f) Are the events Male and Republican independent? Enter yes or no . Note: You can earn partial credit on this problem.

Answers: 3

Show answers

Answers

Answer from: dubouuu

(a) The probability of a person being a Male is 0.49.

(b) The probability of a person being a Male and a Democrat is 0.11.

(d) The probability of a person is a Republican given that he is a Male is 0.61.

(e) The probability of a person is a Female given that she is a Libertarian is 0.40.

(f)

Step-by-step explanation:

The given distribution of the data relating gender to political orientation is given in the tabular form below.

(a)

Compute the probability that the person is a Male as follows:

$P(Male)=\frac{n(Male)}{N} =\frac{101}{207} =0.487923\approx0.49$

Thus, the probability of a person being a Male is 0.49.

(b)

Compute the probability that the person is a Male and a Democrat as follows:

$P(M\cap D)=\frac{n(M\cap D)}{N} =\frac{22}{207} =0.10628\approx0.11$

Thus, the probability of a person being a Male and a Democrat is 0.11.

(c)

Compute the probability that the person is a Male given that he is a Democrat as follows:

$P(M| D)=\frac{P(M\cap D)}{P(D)} =\frac{P(M\cap D)}{n(D)/ N}= \frac{0.11}{64/207} =0.354839\approx0.35$

Thus, the probability of a person is a Male given that he is a Democrat is 0.35.

(d) Are the events Male and Republican independent? NO.

Compute the probability that the person is a Republican given that he is a Male as follows:

$P(R| M)=\frac{P(R\cap M)}{P(M)} =\frac{n(R\cap M)/N}{P(M)}= \frac{61/207}{0.49} =0.612245\approx0.61$

Thus, the probability of a person is a Republican given that he is a Male is 0.61.

(e)

Compute the probability that the person is a Female given that she is a Libertarian as follows:

$P(F|L)=\frac{P(F\cap L)}{P(L)} =\frac{n(F\cap L)/N}{n(L)/ N}= \frac{12/207}{30/207} =0.40$

Thus, the probability of a person is a Female given that she is a Libertarian is 0.40.

(f)

If two event A and B are independent than their conditional probability is:

$P(B|A)=\frac{P(A\cap B)}{P(A)} =\frac{P(A)P(B)}{P(A)}=P(B)$

Then the conditional probability of Republican given male should be equal to the probability of Republican if the events Male and Republican independent, i.e. If the events Male and Republican independent then,

P(R|M) = P(R)

The probability of a person being a Republican is:

$P(R)= \frac{n(R)}{N} =\frac{113}{207}= 0.55$

The probability of Republican given male is, P (R|M) = 0.61.

P (R|M) ≠ P (R)

Thus, the events Male and Republican are not independent.

(1 point) In a survey of 207 people, the following data were obtained relating gender to political o

Answer from: Quest

answer: 140

step-by-step explanation:

so just add all then it will be your answer but i am not pretty sur eif it is but hope this i am here to people

Answer from: Quest

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) = +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

Another question on Mathematics

Mathematics, 21.06.2019 12:50

Suppose the probability of selling a car today is 0.28. find the odds against selling a car today.

Answers: 3

Answer

Mathematics, 21.06.2019 14:00

The revenue generated by a bakery over x months, in thousands of dollars, is given by the function f(x) = 2(1.2)* the cost of running the bakery forx months, in thousands of dollars, is given by the function g(x) = 2x + 1.4determine the equation for h if h(x) = f(x) - g(x).oa. m(x) = (1-2)*-x-07b.(x) = 2(1 2 - 2x -0.7)h(x) = -2((1.2) + x + 0.7)d.h(x) = 2((12) - x-0.7)

Answers: 1

Answer

Mathematics, 21.06.2019 16:00

The equation x2 – 1x – 90 = 0 has solutions {a, b}. what is a + b?

Answers: 1

Answer

Mathematics, 21.06.2019 18:30

10% of 1,900,000. show me how you got the answer

Answers: 2

Answer

You know the right answer?

(1 point) In a survey of 207 people, the following data were obtained relating gender to political o...