The results for a test given by a certain instructor not in the School of Sciences by grade and gender follow. A B C Total Male 8 1 1 1 4 3 3 Female 7 Z 1 3 2 2 Total 1 5 1 3 27 5 5 Find the probability that a randomly selected student earned a grade of 'C' given that the student is female :1 Question Help: 8 Message instructor 0 Question 23 [2. 0/1 pt '0 3 8 99 Suppose a math class contains 33 students, 10 females (six of whom speak French) and 23 males (five of whom speak French). Compute the probability that a randomly selected student is female, given that the student speaks French, C] Question Help: 1:] Video 8 Message instructor 0 Question 24 E 0/1 pt '9 3 399 A basket at a baby shower contains 4 bottles of pink nail polish numbered 1 through 4, and 11 bottles of red nail polish numbered 1 through 11. One bottle is drawn from the basket at random. 'A = \\mbox{the polish drawn is pink}' '3 = \\mbox{the polish drawn is even-numbered} Find 'P(A|B)': 1/4 Z/7 6/15 3/11 Question Help: Message instructor 0 Question 25 13 0/1 pt '0 3 899 A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below better same worse Republican 1 33 194 44 Democrat ( 12 87 137 none ( 21 99 113 If we randomly select one of the adults who participated in this study, compute: (round to four decimal places) a. P(Democrat) = b, P(same) = cu P(same|Democrat)= d, P(Democrat|same)= eu P(Democrat and same) = Question Help: 8 Message instructor 0 Question 26 E 0/1 pt '0 3 8 99 A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below: better same worse Republican i 38 194 44 Democrat \\ 12 87 137 none ' 21 99 118 Express your answers as a decimal and round to the nearest 0,001 (in other words, type 0.123, not 123% or (1123456). If we randomly select one of the adults who participated in this study, compute: P(affiliated with neither party) = P(same) = P(same|affiliated with neither party) = P(affiliated with neither partylsame) = P(affiliated with neither party and same) = Question Help: 8 Message instructor 0 Question 27 E 0/1 pt '0 3 3 99 Giving a test to a group of students, the grades and gender are summarized below Round your answers to 4 decimal places. Grades and Gender i L Total I 10 14 27 17 15 38 27 29 65 If one student is chosen at random, a. Find the probability that the student was male: b, Find the probability that the student was male AND got a "B": c Find the probability that the student was female OR got a "C": d, If one student is chosen at random, find the probability that the student was female GIVEN they got a 'C': Question Help: 8 Message instructor 0 Question 28 B 0/1 pt '0 3 B 99 Giving a test to a group of students, the grades and gender are summarized below A B C Total MaleI 16 3 1 5 34 Female 8 1 1 9 28 Total 24 1 4 24 62 If one student is chosen at random, Find the probability that the student was male: [: Find the probability that the student was female AND got a "C": [: Find the probability that the student was male OR got an "B": [: If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': Question Help: 8 Message instructor 0 Question 29 E 0/1 pt '0 3 3 99 Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 9 15 7 31 Female 4 3 6 18 Total 13 23 13 49 If one student is chosen at random, A. Find the probability that the student was male: :] B. Find the probability that the student was male AND got a "A": C] C. Find the probability that the student was male 0R got a "A": C] D. If one student is chosen at random, find the probability that the student was male GIVEN they got Question Help: E] Video 8 Message instructor 0 Question 30 B 0/1 pt '0 3 Z 99 Suppose a math class contains 35 students. There are 19 females (four of whom speak Spanish) and 16 males (three of whom speak Spanish). Give all answers as decimals to at least two decimal places. 1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? [I 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? C] 3. What percent of Spanish speaking students are male? Give answer as a decimal. [:] 4. If someone does not speak Spanish what is the probability they are female? C]