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...




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..





















Number01234 or more
Probability0.360.260.190.080.11




(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="">


The event X<4 is="" the="" event="" in="" which="" an="" individual="" might="" drink="" more="" than="" 4="" cups="" of="" coffee="" on="" average="" per="">



The event X<4 is="" the="" event="" in="" which="" an="" individual="" drinks="" fewer="" than="" 4="" cups="" of="" coffee="" on="" average="" per="">



The event X<4 is="" the="" event="" in="" which="" an="" individual="" might="" drink="" fewer="" than="" 4="" cups="" of="" coffee="" on="" average="" per="">



The event X<4 is="" the="" event="" in="" which="" an="" individual="" drinks="" more="" than="" 4="" cups="" of="" coffee="" on="" average="" per="">





What is P(X<4) ? (enter="" your="" answer="" rounded="" to="" two="" decimal="">





P(X<>












(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<>



{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

Jun 05, 2022
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