1)Find the followingzvalues for the standard normal variableZ. UseTable 1.(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

a.P(Zz) = 0.8605

b.P(Z>z) = 0.8018

c.P(zZz) = 0.86

d.P(0 Zz)=0.2235

2)

LetXbe normally distributed with mean= 20 and standard deviation= 12. UseTable 1.

a.FindP(X 2).(Round "z" valueto 2 decimal places and final answer to 4 decimal places.)

P(X 2)

b.FindP(X> 5).(Round "z" value to 2 decimal places and final answer to 4 decimal places.)

P(X> 5)

c.FindP(5 X 20).(Round "z" value to 2 decimal places and final answer to 4 decimal places.)

P(5 X 20)

d.FindP(8X20).(Round "z" value to 2 decimal places and final answer to 4 decimal places.)

P(8 X 20)

3)

LetXbe normally distributed with mean=125 and standard deviation=29. UseTable 1.

a.FindP(X 100).(Round "z" value to 2 decimal places and final answer to 4 decimal places.)

P(X 100)

b.FindP(95 X 110).(Round "z" value to 2 decimal places and final answer to 4 decimal places.)

P(95 X 110)

c.Findxsuch thatP(X x) = 0.440.(Round "z" value and final answer to 2 decimal places.)

x=

d.Findxsuch thatP(X >x) = 0.900.(Round "z" value and final answer to 2 decimal places.)

x=

4)

The average high school teacher annual salary is $43,000 (Payscale.com, August 20, 2010). Let teacher salary be normally distributed with a standard deviation of $18,000. UseTable 1.

a.What percentage of high school teachers make between $40,000 and $50,000?(Round "z" value and final answer to 2 decimal places.)

Percentage of high school teachers%=

b.What percentage of high school teachers make more than $80,000?(Round "z" value and final answer to 2 decimal places.)

Percentage of high school teachers% =n: 03_22_2016_QC_CS-46434

5)

The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 29 minutes and 11 minutes, respectively. UseTable 1.

a.Find the probability that a randomly picked assembly takes between 18 and 30 minutes.(Round "z" value to 2 decimal places and final answer to 4 decimal places.)

Probability=

b.It is unusual for the assembly time to be above 44 minutes or below 16 minutes. What proportion of assembly times fall in these unusual categories?(Round "z" value to 2 decimal places and final answer to 4 decimal places.)

Proportion of assembly times=