Census Data Show That 11% Of Students In A Certain Country

Census data show that 11% of students in a certain country went to college or a trade school within a year of graduating from high school. A random sample of435high school graduates is selected. Use the normal approximation to the binomial distribution to complete parts athrough e below.a. What are the mean and standard deviation of this distribution??=____ ??=____ ?(Round to two decimal places as needed.)b. What is the probability that 59 or fewer students will go to college?P(x?59)=______ ? (Round to four decimal places as needed)c. What is the probability that exactly 59 students will go to college?P(x=59)equals=_____ ? (Round to four decimal places as needed)d. What is the probability that 41 or more students will go to collegeP(x?41)equals=______ ? (Round to four decimal places as needed)e. What is the probability that between 59 and 63 students, inclusive, will go to college?P(59 ?x ? 63)=_____ ? (Round to four decimal places as needed)

Census data show that 11% of students in a certain country

Question
Census data show that 11% of students in a certain country went to college or a trade school within a year of graduating from high school. A random sample of435high school graduates is selected. Use the normal approximation to the binomial distribution to complete parts a

through e below.

a. What are the mean and standard deviation of this distribution?
?=____ ?
?=____ ?
(Round to two decimal places as needed.)

b. What is the probability that 59 or fewer students will go to college?

P(x?59)=______ ? (Round to four decimal places as needed)

c. What is the probability that exactly 59 students will go to college?

P(x=59)equals=_____ ? (Round to four decimal places as needed)

d. What is the probability that 41 or more students will go to college

P(x?41)equals=______ ? (Round to four decimal places as needed)

e. What is the probability that between 59 and 63 students, inclusive, will go to college?

P(59 ?x ? 63)=_____ ? (Round to four decimal places as needed)

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