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Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 90 seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of high school. Part (a) In words, define the Random Variable X. O the number of seniors that participated in after-school sports their senior year O the number of seniors that participated in after-school sports all four years of high school ○ the number of seniors who stayed after school for any activity all four years of high school O the number of students that participate in after-school sports Part (b) List the values that X may take on. OX 1, 2, 3,.., 88, 89, 90 OX 0, 1, 2, ..., 88, 89, 90 OX=1, 2, 3, 4, 5, 6, 7, 8 OX= 0, 1, 2, 3, 4, 5, 6, 7, 8 ☐ Part (c) Give the distribution of X. ✗~ -(0.0) Part (d) How many seniors are expected to have participated in after-school sports all four years of high school? (Round your answer to the nearest whole number.) seniors Part (e) Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all four years of high school? Yes. The probability that none of the seniors participated in after-school sports all four years of high school is low (less than 5%). No. The probability that none of the seniors participated in after-school sports all four years of high school is high (more than 10%). Part (f) Based upon numerical values, is it more likely that 4 or that 5 of the seniors participated in after-school sports all four years of high school? ○ 4 seniors 5 seniors

Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 90 seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of high school. Part (a) In words, define the Random Variable X. O the number of seniors that participated in after-school sports their senior year O the number of seniors that participated in after-school sports all four years of high school ○ the number of seniors who stayed after school for any activity all four years of high school O the number of students that participate in after-school sports Part (b) List the values that X may take on. OX 1, 2, 3,.., 88, 89, 90 OX 0, 1, 2, ..., 88, 89, 90 OX=1, 2, 3, 4, 5, 6, 7, 8 OX= 0, 1, 2, 3, 4, 5, 6, 7, 8 ☐ Part (c) Give the distribution of X. ✗~ -(0.0) Part (d) How many seniors are expected to have participated in after-school sports all four years of high school? (Round your answer to the nearest whole number.) seniors Part (e) Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all four years of high school? Yes. The probability that none of the seniors participated in after-school sports all four years of high school is low (less than 5%). No. The probability that none of the seniors participated in after-school sports all four years of high school is high (more than 10%). Part (f) Based upon numerical values, is it more likely that 4 or that 5 of the seniors participated in after-school sports all four years of high school? ○ 4 seniors 5 seniors

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 38E
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Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 90 seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of high school. Part (a) In words, define the Random Variable X. O the number of seniors that participated in after-school sports their senior year O the number of seniors that participated in after-school sports all four years of high school ○ the number of seniors who stayed after school for any activity all four years of high school O the number of students that participate in after-school sports Part (b) List the values that X may take on. OX 1, 2, 3,.., 88, 89, 90 OX 0, 1, 2, ..., 88, 89, 90 OX=1, 2, 3, 4, 5, 6, 7, 8 OX= 0, 1, 2, 3, 4, 5, 6, 7, 8 ☐ Part (c) Give the distribution of X. ✗~ -(0.0) Part (d) How many seniors are expected to have participated in after-school sports all four years of high school? (Round your answer to the nearest whole number.) seniors Part (e) Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all four years of high school? Yes. The probability that none of the seniors participated in after-school sports all four years of high school is low (less than 5%). No. The probability that none of the seniors participated in after-school sports all four years of high school is high (more than 10%). Part (f) Based upon numerical values, is it more likely that 4 or that 5 of the seniors participated in after-school sports all four years of high school? ○ 4 seniors 5 seniors
Transcribed Image Text:Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 90 seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of high school. Part (a) In words, define the Random Variable X. O the number of seniors that participated in after-school sports their senior year O the number of seniors that participated in after-school sports all four years of high school ○ the number of seniors who stayed after school for any activity all four years of high school O the number of students that participate in after-school sports Part (b) List the values that X may take on. OX 1, 2, 3,.., 88, 89, 90 OX 0, 1, 2, ..., 88, 89, 90 OX=1, 2, 3, 4, 5, 6, 7, 8 OX= 0, 1, 2, 3, 4, 5, 6, 7, 8 ☐ Part (c) Give the distribution of X. ✗~ -(0.0) Part (d) How many seniors are expected to have participated in after-school sports all four years of high school? (Round your answer to the nearest whole number.) seniors Part (e) Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all four years of high school? Yes. The probability that none of the seniors participated in after-school sports all four years of high school is low (less than 5%). No. The probability that none of the seniors participated in after-school sports all four years of high school is high (more than 10%). Part (f) Based upon numerical values, is it more likely that 4 or that 5 of the seniors participated in after-school sports all four years of high school? ○ 4 seniors 5 seniors
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