Question

i get how to do parts 2 and 3 using the numbercdf function on my ti84 which ill have for my test, but part a is kinda kicking by but. i assume there is a base function/forumla to start with when solving for the density function? the solution i copied from my professor is but clearly this is incomplete or i copied it wrong.

5. Let X denote the time in hours needed to locate and correct a problem in the software that governs the timing of traffic lights in the downtown area of a large city. Assume that Xis normally distributed with mean 10 hours and variance 9. (a) Find the expression for the density for . (b) Find the probability that a program will reach the printer within 4 minutes of arriving in the queue. (c) Find the probability that a program will reach the printer between 8 and 22 minutes?

Answer 1

X, der te the time in houOS のeeded to a enS (X- 10) 2 IT -CX- o) 2 e cp .[aに 2 6 0 .. because we hove to given hat x s in hour マ10113 < ー3.31111

pri nte γ between g and 22 minute s . ....ue wont x showd be housb we have given converr זトトㅎ in hours by dividing eo = P( (8160)-10 1 < (22160)-10 x-10 = P( XC-3-2111). P(X(-3.2880 ) 0.00066-0 , 0005 : O Oo016