Martina is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8 . The dart lands on a numbered slice at random. This game is this: Martina tosses the dart once. She wins $1 if the dart lands in slice 1 , $3 if the dart lands in slice 2 , $5 if the dart lands in slice 3 , $8 if the dart lands in slice 4 , and $10 if the dart lands in slice 5 . She loses $3 if the dart lands in slices 6 , 7 , or 8 . (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. dollars (b) What can Martina expect in the long run, after playing the game many times? Martina can expect to gain money. Shecanexpecttowindollarspertoss. Martina can expect to lose money. Shecanexpecttolosedollarspertoss. Martina can expect to break even (neither gain nor lose money).
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.
Martina is playing a game of chance in which she tosses a dart into a rotating dartboard with
equal-sized slices numbered
through
. The dart lands on a numbered slice at random.
This game is this: Martina tosses the dart once. She wins
if the dart lands in slice
,
if the dart lands in slice
,
if the dart lands in slice
,
if the dart lands in slice
, and
if the dart lands in slice
. She loses
if the dart lands in slices
,
, or
.
(If necessary, consult a list of formulas.)
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