A personal computer is used for office work at home, research, communication, personal finances, education, entertainment, social networking, and a myriad of other things. Suppose that the average number of hours a household personal computer is used is 4.4 hours per day, across the population of households in the United States. Assume the the population of household usage times is normally distributed and the standard deviation for the times is 2 hours.

You are told that a given household (Household A) from the population has the following two qualities

1. It uses its computer an above-average number of hours per day.

2. The probability of randomly drawing a household with a computer-usage at least as extreme (i. e., combining across extremely high and low usage rates) as Household A is 0.02.

What is the minimum number of hours per day that Household A must use its computer? Round your answer to the second decimal place. If you can't find the exact table entry you're looking for, use the table entry that's closest. If there's a tie, use the smaller of the two options.

**please explain each step to get the correct answer. Answer is 9.06