75% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 30 bald eagles are randomly selected, find the probability that a. Exactly 24 of them survive their first year of life. b. At most 25 of them survive their first year of life. c. At least 23 of them survive their first year of life.
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.
75% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 30 bald eagles are randomly selected, find the probability that
a. Exactly 24 of them survive their first year of life.
b. At most 25 of them survive their first year of life.
c. At least 23 of them survive their first year of life.
Given Information:
75% of all bald eagles survive their first year of life. i.e.,
If 30 bald eagles are randomly selected, to find the probability that:
(a) Exactly 24 of them survive their first year of life:
Let X be a random variable which denotes the number of bald eagles that survive their first year of life and X follows Binomial distribution with number of trials and probability of success .
Probability mass function of Binomial variable is given by the formula:
Required probability is obtained as follows:
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