Choose a parent with children under age 18 in the United States at random and ask, "How many nights a week out of seven does your family eat dinner together at home?" Call the response X for short. Based on a large sample survey, here is a probability model for the answer you will get.
Nights |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
Probability |
0.08 |
0.00 |
0.07 |
0.08 |
0.10 |
0.18 |
0.06 |
0.43 |
(a) Is this a valid finite probability model?
YesNo
(b) Describe the event X < 4 in words.
The event that somebody eats dinner at home with his or her family 3 or more days per week.The event that somebody eats dinner at home with his or her family 4 or more days per week. The event that somebody eats dinner at home with his or her family 4 days per week.The event that somebody eats dinner at home with his or her family 4 or fewer days per week.The event that somebody eats dinner at home with his or her family 3 or fewer days per week.
What is
P(X < 4)?
(Enter your answer to two decimal place.)
P(X < 4) =
(c) Express the event "eat dinner together at home at least once a week" in terms of X.
{X ≥ 2}{X ≥ 1} {X ≤ 2}{X ≤ 1}{X > 1}
What is the probability of this event? (Enter your answer to two decimal places.)
P(eat dinner together at home at least once a week) =