4. television viewing reached a new high when the nielsen company reported a mean daily viewing time of 8.35 hours per household. 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 more than 3 hours a day? b. what is the probability that a household spends 5 – 10 hours watching television more a day? c. how many hours of television viewing must a household have in order to be in the top 3% of all television viewing households?

a. P=0.98

b. P=0.66

c. The top 3% of all TV viewing households watch 12.95 hours or more.

Step-by-step explanation:

We have a normal distribution with these parameters:

a. What is the probability that a household views television more than 3 hours a day?

To calculate this, first we calculate the z-value for X=3 and then calculate the probability according to the standard normal distribution.

b. What is the probability that a household spends 5 – 10 hours watching television more a day?

c. How many hours of television viewing must a household have in order to be in the top 3% of all television viewing households?

To calculate this we have to know the z-value for .

This z-value, according to the standard normal distribution is z=1.88.

Then, we can calculate the number of hours X as:

The top 3% of all TV viewing households watch 12.95 hours or more.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt