uppose that you have 5 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replacement. Round your answers to four decimal places.
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.
uppose that you have 5 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replacement. Round your answers to four decimal places.
G1 = the first card drawn is green
G2 = the second card drawn is green
a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =
d. Are G1 and G2 independent?
- They are independent
events - They are dependent events
Total cards = 5 + 5 = 10
a.
P(G1 and G2 ) = P(First card is green) *P(Second card is green)
= (5/10)*(5/10)
= 0.25
b.
P(at least 1 green) = 1 - P(no green)
= 1-P(first card is yellow) * P(second card is yellow)
= 1 - ((5/10)*(5/10))
= 1 - 0.25
= 0.75
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