a) The lengths of carrots can be assumed to follow a Normal distribution withmean 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.A discrete random variable, X, has probability function P(X = x) = kxfor x = 1, 2, 3, 4, 5.c)i) Show that kii) Find E(X).=15You 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).

It is given Mean, μ = 18Standard deviation, σ = 2.5Z-Score, Z = ( X - μ )/σwhere, Z be the standard…

Answered: a) The lengths of carrots can be…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?