Dinner at Home. Choose a parent with children under age 18 in the United States
ID: 3315626 • Letter: D
Question
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 XXfor short. Based on a large sample survey, here is a probability model for the answer you will get
NightsProbability00.051020.0730.0840.150.1660.1570.39Nights01234567Probability0.0500.070.080.10.160.150.39
(a) Is this a valid finite probability model?
(b) What is P(X<4)P(X<4)?
P(x<4)P(x<4) =
(c) Express the event "eat dinner together at home at least once a week" in terms of XX.
{X1}{X1}
{X>1}{X>1}
{X1}{X1}
{X2}{X2}
{X2}{X2}
What is the probability of this event?
PP =
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 XXfor short. Based on a large sample survey, here is a probability model for the answer you will get
NightsProbability00.051020.0730.0840.150.1660.1570.39Nights01234567Probability0.0500.070.080.10.160.150.39
(a) Is this a valid finite probability model?
Yes No(b) What is P(X<4)P(X<4)?
P(x<4)P(x<4) =
(c) Express the event "eat dinner together at home at least once a week" in terms of XX.
{X1}{X1}
{X>1}{X>1}
{X1}{X1}
{X2}{X2}
{X2}{X2}
What is the probability of this event?
PP =
Explanation / Answer
Result:
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 XXfor short. Based on a large sample survey, here is a probability model for the answer you will get
NightsProbability
00.05 10 20.07 30.08 40.1 50.16 60.15 70.39
Nights01234567Probability0.0500.070.080.10.160.150.39
x
p
0
0.05
1
0
2
0.07
3
0.08
4
0.1
5
0.16
6
0.15
7
0.39
(a) Is this a valid finite probability model?
Yes
( sum of probabilities is 1 and all probabilities are between 0 and 1)
(b) What is P(X<4)?
P(x<4) = 0.05+0+0.07+0.08 = 0.20
(c) Express the event "eat dinner together at home at least once a week" in terms of XX.
{X1}{X1}
What is the probability of this event?
P = 0+0.07+0.08+0.1+0.16+0.15+0.39
=0.95
x
p
0
0.05
1
0
2
0.07
3
0.08
4
0.1
5
0.16
6
0.15
7
0.39
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