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Mutually Exclusive Events
A set of events is said to be mutually exclusive if the occurrence of any one of the events precludes the occurrence of any of the other events for illustration, when tossing a coin, the events are a head or a tail these are said to be mutually exclusive because the occurrence of heads for instance implies that tails cannot and has not happened.
This can be represented in venn diagram as given below:
E1 ∩ E2 = Ø
E1 ∩ E2 ≠ Ø
Non-mutually exclusive events (independent events)
Consider a survey whether a random sample of registered voters is selected. For every voter selected their sex and political party affiliation are noted. The events "KANU" and "woman" are not equally exclusive since the selection of KANU does not preclude the possibly that the voter is also a woman.
Independent Events
Events are said to be independent when the occurrence of any type of the events does not affect the occurrence of the other(s).For illustration the outcome of tossing a coin is independent of the outcome of the preceding or succeeding toss.
Union of Sets Venn diagram presenting the union of sets A and B or A?B = Shaded area is demonstrated below: A ?B = Shaded area
Series - Special Series In this part we are going to take a concise look at three special series. In fact, special may not be the correct term. All three have been named th
Definition 1. We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on. 2. We say that at x = c ,
different types of rectilinear figures
An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat? Find out 20 percent of the original p
using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using
Lisa was assigned 64 pages to read for English class. She has ?nished of the assignment. How many more pages must she read? If Lisa has read 3/4 of the assignment, she has 1/4
y=f(a^x) and f(sinx)=lnx find dy/dx? Solution) dy/dx exist only when 0 1 as the function y = f(a^x) itself does not exist.
-cot^2 90^0 + 4 sin 270^0 - 3 tan 180^0
how to get the objective report?
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