Find the following probabilities. (round your answers to four decimal places.)

(e) p(-2.35 < z < -1.16)
(f) p(z < 1.53)

explain your answers!

(e) 0.1136

(f) 0.9370

Step-by-step explanation:

φ(z) is CDF.

P(Z < z) = φ(z)

φ(-z) = 1 - φ(z)

(e) p(-2.35 < z < -1.16)

 = φ(-1.16) - φ(-2.03)

 = 1 - φ(1.16) - 1 + φ(2.03)

 = φ(2.03) - φ(1.16)

 = 0.9906 - 0.8770

 = 0.1136

(f) p(z < 1.53)

  = φ(1.53)

  = 0.9370

to apply for that college regardless of the sat aveage

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.