Suppose you have a bag with ten balls in it, and each ball has a digit printed on it: 0,1,2,3,4,5,6,7,8,9. So there is one ball for each of the ten digits 0-9. a) If you pull out three balls and set them aside, what is the probability that you pull out the numbers “5”, “0”, and “4”, in that order? (“5” is your first pull, “0” is your second, and “4” is your third). b) For part (a), what is the probability that your three numbers consist of “5”, “0”, and “4” in any order? Express your answer as a fully reduced fraction. c) Suppose instead you take a ball out, record its value, then return it into the bag, then repeat this process three total times. What is the probability that you will select the 5, the 0, and the 4, in that order? d) In part (c), what is the probability that your three selections consist of the number 4 twice, and the number 8 once, in any order?
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.
Suppose you have a bag with ten balls in it, and each ball has a digit printed on it:
0,1,2,3,4,5,6,7,8,9. So there is one ball for each of the ten digits 0-9.
a) If you pull out three balls and set them aside, what is the
numbers “5”, “0”, and “4”, in that order? (“5” is your first pull, “0” is your second, and “4” is
your third).
b) For part (a), what is the probability that your three numbers consist of “5”, “0”, and “4” in
any order? Express your answer as a fully reduced fraction.
c) Suppose instead you take a ball out, record its value, then return it into the bag, then repeat
this process three total times. What is the probability that you will select the 5, the 0, and the 4,
in that order?
d) In part (c), what is the probability that your three selections consist of the number 4 twice,
and the number 8 once, in any order?
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