A variable is normally distributed with mean 99 and standard deviation 22.

a. Find the percentage of all possible values of the variable that lie between 44 and 1212.
b. Find the percentage of all possible values of the variable that exceed 66.
c. Find the percentage of all possible values of the variable that are less than 55.

7

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

x=0

step-by-step explanation: