This is on R Studio so please include the coding!

The IQ, Intelligence Quotient measure, is a measure of cognitive ability. lbegin\{itemize\} litem The IQ scores are normally distributed. The mean score for the Quantitative Reasoning portion is $\ mu=100\$ with a standard deviation of $1 sigma =15.0$. litem Kim, Namioon (RM) from the Korean Pop group BTS has an IQ score of 148. litem A member of the UMM community named J-Dog has an IQ score of 92 . lend { itemize } Points will be allocated to your technical solutions and to the clarity of the communication of your solutions. Points are also allocated to the computations you use in the codeblocks below. Some computation is required for a good answer. Make sure your spelling, grammar and word choices are appropriate. Simply having the right idea does not ensure full credit. Having a numeric answer without an explanation will also get a deduction. \#\#\# Problem 2 Part A: What is the probability of selecting an IQ value at random between 105 and 110 ? Reminder, probability is a value between 0 and 1 . Document any computations you use in the codeblock provided. If you use a computation in your answer, it must be given here: Answer: ### Problem 2 Part B: What IQ score is at the 45th percentile? That is, what score is such that 45 percent of scores are less than this value. Document any computations you use in the codeblock provided. If you use a computation in your answer, it must be given here: Answer: lclearpage \#\# Problem 2 Part C : Who has a more unusual IQ score, RM or J-Dog? Why? Explain. Document any computations you use in the codeblock provided. If you use a computation in your answer, it must be given here