Question

b) It is known that amounts of money spent on clothing in a year by students on a particular campus follow a normal distribution with a mean of $400 and a variance of 2500 dollar squared i. What is the probability that a randomly chosen student wil spend less than $420 on clothing in a year? ii, what is the probability that a randomly chosen student will spend more than $380 on clothing in a year? ii. Draw a graph to illustrate why the answers to parts (i) and (ii) are the same. iv. What is the probability that a randomly chosen student will spend between $300 and S500 on clothing in a year? v. Find the expense value such that the probability of spending money greater than that value is 0.2

Answer 1

solution Giren tha So P( 42) l s p:/ Х-4 6 So STO Usin table 서く380-400 6 24 winaてtable = 1-0.3446

420 Draw i 38a both are same Praba bi lity because bothvalus middle 31 08 1 SO SO using z table -0.9772-0.0228

Using standard narmal table p( o.gul6)- 乙二 841 6 using 2-scon Form ulq