Q6. The following relative frequency distribution describes the household incomes for families living in a suburban community: income Relative Frequency less than $20,000 0.10 $20,000-under$40,000 0.20 $40,000 -under$60,000 0.30 $60,000 - under$80,000 0.25 $80,000 or more 0.15 a) For a randomly selected household, what is the probability that its annual income is less than $80,000? b) If a household is known to have an income of at least $20,000, what is the probability that its annual income is in the $60,000- under $80,000 category? c) Two households are randomly selected from those whose income is at least $40,000 per year.
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.
Q6. The following relative frequency distribution describes the household incomes for families living in a suburban community:
income Relative Frequency
less than $20,000 0.10
$20,000-under$40,000 0.20
$40,000 -under$60,000 0.30
$60,000 - under$80,000 0.25
$80,000 or more 0.15
- a) For a randomly selected household, what is the probability that its annual income is less than $80,000?
- b) If a household is known to have an income of at least $20,000, what is the probability that its annual income is in the $60,000- under $80,000 category?
- c) Two households are randomly selected from those whose income is at least $40,000 per year.
- d) Given that the two household have incomes of at least $40,000 per year, what is the probability that both of these households are in the $80,000 or more category?
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