Question

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.

Answer #1

1. True or False: If P(A) is the probability that an event A
will occur, then 0< (or equal to) P(A) < (or equal to)
2.
2.True or False: If S represents the sample space of a random
process, then P(S) =1
3. True or False: According toe the CLT, is a random variable X
does not have a normal distribution in a population, the
distribution of all sample means is approximately normal as long as
the sample size is...

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.

True or False:
10. The probability of an event is a value which must be greater
than 0 and less than 1.
11. If events A and B are mutually exclusive, then P(A|B) is always
equal to zero.
12. Mutually exclusive events cannot be independent.
13. A classical probability measure is a probability assessment
that is based on relative frequency.
14. The probability of an event is the product of the probabilities
of the sample space outcomes that correspond to...

true or false:
a)Var(X)=E(X^2)-E(X)^2) is always true
b)if A and B are dependent then P(A interesection B) -
P(A)P(B)=1
c)one of the desavantages of the average is it small sensibility at
data change
d) Pearson coefficient does not indicate the assimetria of a
empiric distribution

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

(a) TRUE / FALSE If X is a random variable, then (E[X])^2 ≤
E[X^2]. (b) TRUE / FALSE If Cov(X,Y) = 0, then X and Y are
independent. (c) TRUE / FALSE If P(A) = 0.5 and P(B) = 0.5, then
P(AB) = 0.25. (d) TRUE / FALSE There exist events A,B with P(A)not
equal to 0 and P(B)not equal to 0 for which A and B are both
independent and mutually exclusive. (e) TRUE / FALSE Var(X+Y) =
Var(X)...

1. Are the following statements TRUE
or FALSE?:
(a) According to the Central Limit Theorem, given a large sample
size (N > 30), then a normal probability plot of the
same data would necessarily follow a straight line.
(b) A 95% confidence interval for a population mean that does
not include zero would also mean that a hypothesis test on the same
data would yield a significant result at the .05 level.
(c) The mean of a t-distribution with 5...

Select True or False from each pull-down menu, depending on
whether the corresponding statement is true or false.
True False
1. In the normal distribution, the
total area beneath the curve represents the probability for all
possible outcomes for a given event.
True False
2. In the normal distribution, the
mean, median, mode, and variance are all at the same position on
the horizontal axis since the distribution is symmetric.
True False
3. In the exponential distribution,
the value of ?x...

1. Answer the following
a. If A and B are independent events, then P(A and B) =
P(A)P(B). True or false?
b. Let A, B and C be independent events with P(A) = 0.7, P(B) =
0.8, P(CC) = 0.5. Find P(A and B and C)
c. Compute the mean and standard deviation of the random
variable with the given discrete
probability distribution:
X P(X)
-3 0.10
0 0.17
1 0.56
3 0.17

Question 2: Which of the following statements about the
sampling distribution of means is not true?
A. A sample distribution's mean will always equal the parent
population distribution's mean
B. The sampling distribution of means approximates the normal
curve.
C. The mean of a sampling distribution of means is equal to the
population mean.
D. The standard deviation of a sampling distribution of means is
smaller than the standard deviation of the population.

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