Answered: Calculate the following with R. You…

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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Hi, How do I code the following on R Studio:

Calculate the following with R. You should use R's ready-made distribution functions d/p/q/r -binom and -norm.

(a) The random variable X follows the binomial distribution with parameters n = 60 and p = 13 . Calculate P(X ≤ 10),P(X > 30) and P(X = 19∪X = 20∪X = 21), and store the results in variables a1, a2 and a3.
(b) Continuation of previous paragraph. Store in the variable a4 a number for which P(X ≤ a4) = 0.034 applies.
(c) The random variable Y follows a normal distribution with parameters μ = 1 and σ = 2. Calculate P(Y ≤ 0), P(Y > 2) and P(Y = 1), and store the results in the variables b1, b2 and b3.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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