A kindergarten class has five left-handed children and thirteen right-handed children. Two children are selected without replacement for a shoe-tying lesson. Let X = the number who are left-handed. (a) The simple events in the sample space are {RR, RL, LR, LL}. For instance, one simple event is RL, indicating that the first child is right-handed and the second one is left-handed. Find the probability for each of the simple events in the sample space. (Hint: A tree diagram may help you solve this.) P(RR) = P(RL) = P(LR) = P(LL) = (b) Find the probability distribution function for X. k 0 1 2 P(X = k)
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.
A kindergarten class has five left-handed children and thirteen right-handed children. Two children are selected without replacement for a shoe-tying lesson. Let X = the number who are left-handed.
| P(RR) | = |
| P(RL) | = |
| P(LR) | = |
| P(LL) | = |
(b) Find the
| k | 0 | 1 | 2 |
|---|---|---|---|
| P(X = k) |
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