Question

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?

Answer 1

Probability of viewing television between 5 to 10 hr is 0.6553

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(((5 - 8.35))/(2.5) < z < ((10 - 8.35))/(2.5))`

= 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