The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below. x P(x) 0 0.1790 1 0.4050 2 0.2440 3 0.1370 4 0.0290 5 0.0060 a.) Find the probability of getting exactly 4 sleepwalkers among 5 adults. b.) Find the probability of getting 4 or more sleep walkers among 5 adults c.) Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result from part (a) or part (b)? d.) Is 4 a significantly high number of 4 sleepwalkers among 5 adults? Why or why not? Use 0.05 as the threshold for a significant event.
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.
The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below.
x |
P(x) |
|
|||||||||||||
0 |
0.1790 |
||||||||||||||
1 |
0.4050 |
||||||||||||||
2 |
0.2440 |
||||||||||||||
3 |
0.1370 |
||||||||||||||
4 |
0.0290 |
||||||||||||||
5 |
0.0060 |
a.) Find the
b.) Find the probability of getting 4 or more sleep walkers among 5 adults
c.) Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result from part (a) or part (b)?
d.) Is 4 a significantly high number of 4 sleepwalkers among 5 adults? Why or why not? Use 0.05 as the threshold for a significant
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