Dinner at Home. Choose a parent with children under age 18 in the United Stätes 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: 2 3 4 7 Nights Probability 0.05 0.00 1 0.07 0.08 0.10 0.17 0.15 0.38 (a) Verify that this is a valid finite probability model. (b) Describe the event X<4 in words. What is P(X<4)? (6) Express the event "eat dinner together at home at least once a week" in terms

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Dinner at Home. 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:0
Nights
1
3
4
6.
7
Probability 0.05
0.00
0.07
0.08
0.10
0.17
0.15
0.38
(a) Verify that this is a valid finite probability model.
(b) Describe the event X<4 in words. What is P(X<4)?
(c) Express the event "eat dinner together at home at least once a week" in terms
of X. What is the probability of this event?
Transcribed Image Text:Dinner at Home. 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:0 Nights 1 3 4 6. 7 Probability 0.05 0.00 0.07 0.08 0.10 0.17 0.15 0.38 (a) Verify that this is a valid finite probability model. (b) Describe the event X<4 in words. What is P(X<4)? (c) Express the event "eat dinner together at home at least once a week" in terms of X. What is the probability of this event?
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