R Code for Normal Distribution formula

[queenr12]

Hi there,
I'm fairly new to R and I need some help with my R code to for the below question. I've managed to calculate the z using pnorm(0.05).

Question:
Let X ~ N (100, 202). Find two values, a and b, symmetric about the mean, such that the probability of the random variable taking a value between them is 0.99

[Yarnabrina]

Welcome to the community!

Please take a look here:

FAQ: Homework Policy

Can I ask questions from a course I am taking here? General questions are always welcome! Please do ask general questions about things like: How to use R How to use the RStudio IDE or RStudio Cloud How to work with tidyverse packages Where to find resources to help you learn or solve problems Specific questions can be OK, if you follow these rules: Never copy-paste instructions from an assignment (even for online courses). Explicitly mention the course you are taking and use the #homework tag. Ask your question as a reproducible example (reprex), preferably prepared for posting using the reprex package. Want to maximize your chances of getting the help you need? Keep readin…

Without solving the question completely, what I can suggest is that use the information about symmetry of a and b with respect to mean to reduce the problem to find just one unknown, say c, and then find the value of c theoretically as a function of a quantile of the standard normal distribution, and then use the qnorm function in R to calculate the value.

Hope this helps.