Television viewing reached a new high when the nielsen company reported a mean daily viewing time of 8.35 hours per household (usa today, november 11, 2009). use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household.

a. what is the probability that a household views television between 5 and 10 hours a day?

Probability of viewing television between 5 to 10 hr is  0.6553

Step-by-step explanation:

Given data:

total time period of viewing of per household = 8.35 hr

standard deviation = 2.5 hr

Probability between 5 to 10 hr can be obtained as

= P(Between 5 and 10 hours)

= P(-1.34 < z < 0.66)

= P(z < 0.66) - P(z < -1.34)

determine z value from standard z table

= 0.7454 - 0.0901

= 0.6553

x/3-10=8

x/3=18

x=48

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is