Question

if P(A|B) = P(B|A) then P(A) = P(B) . true or false? and the reason?

Answer #1

is the conditional probability of A given B, i.e. denotes the probability of occurrence of the event under the condition event has already occurred. So, that way, is defined as--

Similarly, is the conditional probability of given , i.e. denotes the probability of occurrence of the event under the condition event has already occurred. So, that way, is defined as--

So, if then,

True or false (give a reason if true or a counterexample if
false):
(a) If u is perpendicular (in three dimensions) to v and w,
those vectors v and w are parallel. "
(b) If u is perpendicular to v and w, then u is perpendicular to
v + 2 w,
(c) If u and v are perpendicular unit vectors then II u - v" =
,.,fi,

2.7
(a) True or false: P(A|B) + P(A|Bc)=1. Either show it true for
any event A and B or exhibit a counter-example.
(b) True or false: P(A|B) + P(Ac|B)=1. Either show it true for
any event A and B or exhibit a counter-example.

For independent events A and B, p(A and B)
= p(A)p(B).
True
False
2-There are 5C10 combinations of 5 objects
chosen from 10.
True
False
3-Students participating in a survey were asked how many
siblings they have. Is this variable quantitative or
qualitative?
a
Quantitative
b
Qualitative
4-Students participating in a survey were asked how many
siblings they have. What is the level of measurement for this
variable?
a
Nominal
b
Ordinal
c
Interval
d
Ratio

1) (a) Determine if the following statements are true or false.
If true give a reason or cite a theorem and if false, give a
counterexample.
i) If { a n } is bounded, then it converges.
ii) If { a n } is not bounded, then it diverges.
iii) If { a n } diverges, then it is not bounded.
(b) Give an example of divergent sequences { a n } and
{ b n } such that {...

True or False: (a) Consider two events A and B such that P r ( A
∩ B ) > 0 . For these events, it is possible that P r ( A ∪ B )
= P r ( A ) + P r ( B ) . (b) Consider the two events A and B such
that P r ( A ∩ B ) > 0 . For these events, it is possible that P
r ( A...

True or False Then provide a brief justification for your answer
.
1 Indirect semiconductors are best suited for optoelectronic
applications (LED, lasers). True or False and Reason :
2 Silicon has four electrons in the outer shell . True or False
and Reason :
3 There is strong electric field in the neutral region of a p-n
diode . True or False and Reason :
4 Conductivity of n-doped semiconductors decreases at very low
temperatures due to low impurity...

Assume that p is a true sentence and q is a false sentence.
Then, select the correct standard form and truth value for the
following statement: if p then q
a). if p then q, true
b). if p then q, false
c). if q then p, false
d). if q then p, true

Efficient markets mean that security prices change randomly and
thus for no reason. True or false. Explain.

True or False
1. Two event A and B are independent iff P(A|B) = P(A).
2. For a specific population, the value of a parameter may
change.
3. The sampling distribution of the sample mean, X, is always
given by a normal curve.
4. Suppose a 95% CI for µ is given by (-2.38, -1.22). Then,
based on the CI for µ, a valid conclusion would be µ < 0.

Let A and B be true, X, Y, and Z false. P and Q have unknown
truth value. Please, determine the truth value of the propositions
in problem 1. Please, show the process of calculation by using the
letter ‘T’ for ‘true,’ ‘F’ for ‘false,’ and ‘?’ for ‘unknown value’
under each letter and operator. Please underline your answer (truth
value under the main operator) and make it into Bold font
1. [ ( Z ⊃ P ) ⊃ P ]...

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