Answered: Calculate the following with R. You…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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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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