(d) Make a table that displays each event from (b) and the corresponding probability from (a). This is a probability distribution for the number of yellow shirts drawn when two shirts are randomly pulled from the drawer.
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.
PLEASE ANSWER (d) ONLY. a-c have been answered.
Suppose a dresser drawer has blue shirts, yellow shirts, red shirts, and green shirts so that if a shirt is pulled from the drawer at random, each color has an equal chance of being drawn. P(Green) = P(Blue) = P(Red) = P(Yellow) = ¼. Complete parts (a) – (d) to create a probability distribution for the number of yellow shirts if two shirts are pulled from the drawer at random (replacing the shirt after each draw).
(a) List each possible outcomefor the colors of the shirts if two shirts are drawn randomly from the drawer.
Green, Blue, / Green, Red, / Green, Yellow, / Green, Green
Blue, Green / Blue, Blue / Blue, Red / Blue, Yellow
Red, Green / Red, Blue / Red, Red / Red, Yellow
Yellow, Green / Yellow, Blue / Yellow, Red / Yellow, Yellow
(b) List the possible events for the number of yellow shirtsif two shirts are drawn randomly from the drawer.
Green, Yellow / Blue, Yellow / Red, Yellow
Yellow, Yellow
(c) Find the probability of each event from part (b).
P (X=L) = 3/Total Outcomes
P (X=L) = 3/16
P (X=2) = L/16
(d) Make a table that displays each event from (b) and the corresponding probability from (a). This is a probability distribution for the number of yellow shirts drawn when two shirts are randomly pulled from the drawer.
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