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
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
Number | 0 | 1 | 2 | 3 | 4 or more |
---|---|---|---|---|---|
Probability | 0.36 | 0.26 | 0.19 | 0.08 | 0.11 |
Question Source: Moore, The Basic Practice Of Statistics, 8e|Publisher: W.H. Freeman
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