STAT 415 Assignment 5 Solutions.pdf - STAT 415 and STAT 515...

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STAT 415 and STAT 515 Lecture 5 Assignment Solutions Fall 2019 Page 1 1. Write R code that will create the following data matrix: X = 88 . 2 69 . 1 62 . 8 73 . 9 82 . 3 75 . 5 67 . 5 74 . 6 71 . 9 69 . 3 75 . 4 71 . 2 85 . 5 74 . 3 69 . 1 71 . 1 80 . 8 79 . 2 76 . 3 71 . 9 (a) Compute the median of each column on X . (b) Compute the standard deviation of each column of X . (c) Compute the covariance matrix for the data in X .
2. Write R code to compute the following: (a) The 75 th percentile of a Beta (2,3) distribution.
(b) The probability that a standard normal random variable is less than 2.7.
(c) The probability that a Binomial ( n = 10 , p = 0 . 5) random variable is equal to 7.

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