9. + -3 points 0/4 Submissions Used My Notes Ask Your Teacher Find the following

Question

9. + -3 points 0/4 Submissions Used My Notes Ask Your Teacher Find the following probabilities for the standard normal distribution in R or using the standard normal table. Note I always recommend drawing the distribution. (Round your answers to four decimal places.) ### Example R code mu 0; sigma 1; x-x; # Note you will have to change the value of x. pnorm(x,mu,sigma) (a) P(X s 1.42) (b) P(X 2 1.42) (c) P(X S -3.07) Find the following percentiles for the standard normal distribution in R or using the standard normal table. (Round your answers to two decimal places.) # # # Example R code mu-0; sigma 1; p-p; # Note you will have to change the value of p. qnorm(p,mu,sigma) (a) 81st (b) 19th (c) 75th

Explanation / Answer

(a) P( X ? 1.42 ) = P( X less than or equal to 1.42 ) = 0.9222

(b) P( X ? 1.42 ) = P( X greater than or equal to 1.42 ) = 1 - 0.9222 = 0.0778

(c) P( X ? - 3.07 ) = P( X less than or equal to - 3.07 ) = 0.0011

(a) 81st = 0.88

(b) 19th = -0.88

(c) 75th = 0.67

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