Question

Suppose that E and F are two events and that

Upper P left parenthesis Upper E right parenthesisP(E)equals=0.8

and

Upper P left parenthesis F|E right parenthesisP(F|E)equals=0.2

What is

Upper P left parenthesis Upper E and Upper F right parenthesisP(E and F)?

Answer #1

Given that,

E and F are two events and P(E) = 0.8 and P(F|E) = 0.2

**[ Formula:-**

**
]**

**So applying formula (i) we get,**

**Now we put the given value and we get,**

**
[ Applying formula (ii) ]**

**Answer:-
Our required probability is,
**

Decide whether or not the two events in question are independent
or whether it is not possible to tell.
Upper P left parenthesis Upper B right
parenthesisP(B)equals=0.90.9
and
Upper P left parenthesis Upper B vertial line Upper A right
parenthesisP(B∣A)equals=0.70.7
Choose the correct answer below.
A.The two events are independent because
Upper P left parenthesis Upper A & Upper B right
parenthesisP(A & B)equals=Upper P left parenthesis Upper B
right parenthesisP(B)times•Upper P left parenthesis Upper B vertial
line Upper A...

Let S be a sample space and E and F be events associated with S.
Suppose that
Pr left parenthesis Upper E right parenthesis equals
0.6Pr(E)=0.6,
Pr left parenthesis Upper F right parenthesis equals
0.2Pr(F)=0.2
and
Pr left parenthesis Upper E intersect Upper F right parenthesis
equals 0.1Pr(E∩F)=0.1.
Calculate the following probabilities.
(a) Pr left parenthesis E|F right
parenthesisPr(E|F)
(b) Pr left parenthesis F|E right
parenthesisPr(F|E)
(c) Pr left parenthesis E| Upper F prime right
parenthesisPrE|F′
(d) Pr left parenthesis...

A record club has found that the marginal profit,
Upper P prime left parenthesis x right parenthesisP′(x) ,
in cents, is given by
Upper P prime left parenthesis x right parenthesis equals
negative 0.0008 x cubed plus 0.35 x squared plus 52.9
xP′(x)=−0.0008x^3+0.35x^2+52.9x
for
x less than or equals x≤400 ,
where x is the number of members currently enrolled in the club.
Approximate the total profit when
240 members are enrolled by computing the sum
Summation from i equals...

Let P(Z)equals=0.390.39, P(Y)equals=0.410.41, and
P(Zintersect∩Y)equals=0.170.17. Use a Venn diagram to find (a)
Upper P left parenthesis Upper Z prime intersect Upper Y prime
right parenthesisPZ′∩Y′, (b) Upper P left parenthesis Upper Z
prime union Upper Y prime right parenthesisPZ′∪Y′, (c) Upper P
left parenthesis Upper Z prime union Upper Y right
parenthesisPZ′∪Y, and (d) Upper P left parenthesis Upper Z
intersect Upper Y prime right parenthesisPZ∩Y′.

Market supply and demand for ovens are given by p equals Upper S
left parenthesis q right parenthesis equals 1750 plus 5 q and p
equals Upper D left parenthesis q right parenthesis equals 2500
minus 10 q. The equilibrium price is $2000 per oven.
(a) Find the market surplus up to equilibrium using the
integral definition.
(b) Verify the market surplus by calculating
MSequalsCSplusPS.

Suppose that Upper X has a discrete uniform distribution f
left-parenthesis x right-parenthesis equals StartLayout
left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals
1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random
sample of n equals 35 is selected from this population. Find the
probability that the sample mean is greater than 2.1 but less than
2.6. Express the final answer to four decimal places (e.g. 0.9876).
The probability is

Consider f left parenthesis x right parenthesis space equals
space 2 x e to the power of x Find the equation of the line tangent
to f left parenthesis x right parenthesis when x equals 0 y =
[A]

Given Cost and Price (demand) functions Upper C left
parenthesis q right parenthesis equals 120 q plus 45000 and p left
parenthesis q right parenthesis equals negative 2.1 q plus 900,
what is the marginal revenue when profits are $14000?

Suppose that events E and F are independent, P(E) =0.3 and P(F )
=0.6, P( E and F)=0.2 What is the P( E or F ) ?

For the demand function
q equals Upper D left parenthesis p right parenthesis equals 352
minus pq=D(p)=352−p,
find the following.
a) The elasticity
b) The elasticity at
pequals=118118,
stating whether the demand is elastic, inelastic or has unit
elasticity
c) The value(s) of p for which total revenue is a maximum
(assume that p is in dollars)

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