Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.74. This can be expressed as P(call is for medical assistance) = 0.74.(a) Assuming that successive calls are independent of one another, calculate the probability that two successive calls will both be for medical assistance. (b) Still assuming independence, calculate the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance.
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.
Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.74. This can be expressed as
P(call is for medical assistance) = 0.74.
(a)
Assuming that successive calls are independent of one another, calculate the probability that two successive calls will both be for medical assistance.
(b)
Still assuming independence, calculate the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance.
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