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b) In a large college, 20% of students are aged over 18. A group of 30 students is chosen at random. Find the probability between 5 and 8 students inclusive are aged over 18.

b) In a large college, 20% of students are aged over 18. A group of 30 students is chosen at random. Find the probability between 5 and 8 students inclusive are aged over 18.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Question 13 a) The lengths of carrots can be assumed to follow a Normal distribution with mean 18 cm and standard deviation 2.5 cm. A supermarket will accept carrots with lengths between 14 cm and 22 cm. What percentage of carrots will not be accepted by the supermarket? b) In a large college, 20% of students are aged over 18. A group of 30 students is chosen at random. Find the probability between 5 and 8 students inclusive are aged over 18. c) A discrete random variable, X, has probability function P(x = x) = kx for x = 1,2,3,4,5. i) Show that k == 15 ii) Find E(X). You are given E(X²) = 15. iii) Find Var(X). Another random variable, Y, is connected to X by the formula Y = 6X - 5. iv) Write down E(Y) and Var(Y).
Transcribed Image Text:Question 13 a) The lengths of carrots can be assumed to follow a Normal distribution with mean 18 cm and standard deviation 2.5 cm. A supermarket will accept carrots with lengths between 14 cm and 22 cm. What percentage of carrots will not be accepted by the supermarket? b) In a large college, 20% of students are aged over 18. A group of 30 students is chosen at random. Find the probability between 5 and 8 students inclusive are aged over 18. c) A discrete random variable, X, has probability function P(x = x) = kx for x = 1,2,3,4,5. i) Show that k == 15 ii) Find E(X). You are given E(X²) = 15. iii) Find Var(X). Another random variable, Y, is connected to X by the formula Y = 6X - 5. iv) Write down E(Y) and Var(Y).
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