The length of the snake Vipera bertis (X), measured in centimeters, is assumed to be normally distrubuited with mean 63 and variance 22. The weight (Y) is measured on grams, can be calculated by using Y= -300 + 7x.
a) Compute the probability that the length of a randomly selected snake is less than 53 centimers.
b) Identify the name of the distribution and parameters for Y.
c) Calculate c such that P(|Y- 141|) > .204
For a) I got P(Z> 10/sqrt(22)) = .0166
For b) I said the distrubution is standard normal and Y~N(741,1078)
For c) I'm not sure how to do. I got P(c- 600/ sqrt(1078) < Z < -c - 600/sqrt(1078))