Consider the sample space S = { o 1 , o 2 , o 3 , o 4 } . Suppose that Pr ( o 1 ) + Pr ( o 2 ) = Pr ( o 3 ) + Pr ( o 4 ) and that Pr ( o 1 ) = 0.15 . a. Find the probability assignment for the probability space when o 2 , and o 3 have the same probability. b. Find the probability assignment for the probability space when Pr ( o 3 ) = 0.22 .
Consider the sample space S = { o 1 , o 2 , o 3 , o 4 } . Suppose that Pr ( o 1 ) + Pr ( o 2 ) = Pr ( o 3 ) + Pr ( o 4 ) and that Pr ( o 1 ) = 0.15 . a. Find the probability assignment for the probability space when o 2 , and o 3 have the same probability. b. Find the probability assignment for the probability space when Pr ( o 3 ) = 0.22 .
Solution Summary: The author explains how to find the probability assignment for a probability space when o_2, and
Consider the sample space
S
=
{
o
1
,
o
2
,
o
3
,
o
4
}
. Suppose that
Pr
(
o
1
)
+
Pr
(
o
2
)
=
Pr
(
o
3
)
+
Pr
(
o
4
)
and that
Pr
(
o
1
)
=
0.15
.
a. Find the probability assignment for the probability space when
o
2
, and
o
3
have the same probability.
b. Find the probability assignment for the probability space when
Pr
(
o
3
)
=
0.22
.
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
charity
savings
Budget for May
travel
food
Peter earned $700 during May. The graph
shows how the money was used.
What fraction was clothes?
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Submit
clothes
leisure
Exercise 11.3 A slope field is given for the equation y' = 4y+4.
(a) Sketch the particular solution that corresponds to y(0) = −2
(b) Find the constant solution
(c) For what initial conditions y(0) is the solution increasing?
(d) For what initial conditions y(0) is the solution decreasing?
(e) Verify these results using only the differential equation y' = 4y+4.
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License