Calculate the following probabilities for an ice core picked at random from this group. It has high levels of nitrate It has high levels of both nitrates and DDT, DDE, DDD It has high levels of nitrates given low levels of DDT, DDE, DDD
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.
Calculate the following probabilities for an ice core picked at random from this group.
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It has high levels of nitrate
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It has high levels of both nitrates and DDT, DDE, DDD
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It has high levels of nitrates given low levels of DDT, DDE, DDD
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It has moderate levels of nitrates given low levels of DDT.
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Find the
probability that two cores picked at random will both have moderate levels of DDT, DDE, DDD. The sampling here is without replacement. -
Are high levels of nitrates and low levels of DDT, DDE, DDD independent of each other? Show probabilistic rationale to your answer.
Given Information:
Probability of an event is given by the formula:
1) To find the probability an ice core picked at random from this group has high levels of nitrate:
Using the above table, favourable outcomes is 240.
Required probability is obtained as follows:
Thus, the probability an ice core picked at random from this group has high levels of nitrate is 0.24
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