Choose an adult age 18 or over in the United States at random and ask, "How many cups of coffee do you drink on average per day?" Call the response X for short. Based on a large sample survey, a probability model for the answer you will get is given in the table.. Number 0 1 2 3 4 or more Probability 0.36 0.26 0.19 0.08 0.11   (a) Is this a valid finite probability model? Yes. This is a valid finite probability model, because each probability is between 0 and 1 and all sum to 1 . No. This is not a valid finite probability model, because each probability is between 0 and 1 and all sum to 1 . No. This is not a valid finite probability model, because the probabilities are all greater than 0 and do not sum to 1 . Yes. This is a valid finite probability model, because the probabilities are all greater than 0 and do not sum to 1 .   (b) Describe the event X<4 in words. The event X<4 is the event in which an individual might drink more than 4 cups of coffee on average per day. The event X<4 is the event in which an individual drinks fewer than 4 cups of coffee on average per day. The event X<4 is the event in which an individual might drink fewer than 4 cups of coffee on average per day. The event X<4 is the event in which an individual drinks more than 4 cups of coffee on average per day. What is P(X<4) ? (Enter your answer rounded to two decimal places.) P(X<4)=   (c) Express the event "have at least one cup of coffee on an average day" in terms of X . {X>1} {X≤1} {X=1} {X<1} {X≥1}   What is the probability of this event? (Enter your answer rounded to two decimal places.) The probability of this event is       Question Source: Moore, The Basic Practice Of Statistics, 8e|Publisher: W.H. Freeman

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Chapter8: Sequences, Series,and Probability
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Choose an adult age 18 or over in the United States at random and ask, "How many cups of coffee do you drink on average per day?" Call the response X for short. Based on a large sample survey, a probability model for the answer you will get is given in the table..

Number 0 1 2 3 4 or more
Probability 0.36 0.26 0.19 0.08 0.11
 
(a) Is this a valid finite probability model?
Yes. This is a valid finite probability model, because each probability is between 0 and 1 and all sum to 1 .
No. This is not a valid finite probability model, because each probability is between 0 and 1 and all sum to 1 .
No. This is not a valid finite probability model, because the probabilities are all greater than 0 and do not sum to 1 .
Yes. This is a valid finite probability model, because the probabilities are all greater than 0 and do not sum to 1 .
 
(b) Describe the event X<4 in words.
The event X<4 is the event in which an individual might drink more than 4 cups of coffee on average per day.
The event X<4 is the event in which an individual drinks fewer than 4 cups of coffee on average per day.
The event X<4 is the event in which an individual might drink fewer than 4 cups of coffee on average per day.
The event X<4 is the event in which an individual drinks more than 4 cups of coffee on average per day.
What is P(X<4) ? (Enter your answer rounded to two decimal places.)
P(X<4)=
 
(c) Express the event "have at least one cup of coffee on an average day" in terms of X .
{X>1}
{X≤1}
{X=1}
{X<1}
{X≥1}
 
What is the probability of this event? (Enter your answer rounded to two decimal places.)
The probability of this event is
 
 
 

Question Source: Moore, The Basic Practice Of Statistics, 8e|Publisher: W.H. Freeman

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