Question

Give all areas as percent (to the nearest tenth). 3. For each of the following: Shade the graph, then answer each of the following using correct probability notation I have include the probability notation on the first one for you. a. If the area to right of 2 -1.36 is 0.9131, what is the area to the left? P(:>-1.36) - 91.3% which means P(z<-1.36) -100%-91.3% -8.7% b. If the area to the left of x in a normal distribution is 0.123, what is the area to the right of x? c. If the area to the right of x in a normal distribution is 0.543, what is the area to the left of .x? 20 d. Shade the graph, then find the area to the left of 2 = 1.79 noiseau rosa e Shade the graph, then find the area to the right of z = 2.69

Answer 1

We find these probability using standard normal distribution table

B) area to left of x is 12.3%

Then area to the right of x is 100%-12.3%=87.7%

C) area to the right of x is 54.3%

Then area to the left of x is 100%-54.3%=45.7%

For D andE we use standard normal distribution table solutions to file is attached go through it

Shaded region is askef area to find

Plant At z=-1-16 P(27-1-16) - 87.74 Area to left of n = 0.123 = 12:30/1 Area do Right of his 100 yor 12.3% = 87.7% 22006 200 Z =- orll at zoeth P(220.11)- 45.78. Area to Right of he is 0.543 =54.3 % P(2<-0011= 457/ Area to left of u is 100 %-54.3% = 45.7000 2= 179 P (22179)- 96.37% P (221.79) = 0.9633 Area 96.33% to left of 2=1.79 @ 2=2169 P (272.69)=1 - P(2<2.67) P(262.69) = 0.9964-99.64% P (27269) = 100 % -99.64% = 0.36.16 P(272.69 2=2.69 Area to Right of 2=2.69 is 0.36%

Thanks