Question

For independent events *A* and *B*, *p(A and B)
= p(A)p(B)*.

True

False

2-There are _{5}C_{10} 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 |

Answer #1

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...

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

(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)...

True or False, explain. If false, give counter example.
a) if events A and B disjoint then A and B independent.
b) if events A and B independent then A and B disjoint.
c) It is impossible for events A and B to be both mutually
exclusive and independent.

For 2 independent exclusive events A and B, P(A) = 0.2 and P(not
B) = 0.7. 1) What is P(A and B) ?
2) What is P(A or B) ? Assume just for this question that P(A
and B) = 0. 3) What is P(not A and B) ?
4) What is P(A and not B) ?
5) What is P(not A and not B) ?
6)Ifyouhavecardsnumbered 1 2 3 4 5 thathavetobeputin5places
___________ ___________ ___________ ___________ ____________
and an...

You are the School Resources Officer for a large
metropolitan high school. Recently, a controversy has emerged
regarding arrest rates for youth that attend the school. The issue
is related to the current national controversy called
Disproportionate Minority Contact. Essentially, this controversy
alleges that criminal justice practitioners arrest a higher
proportion of minority individuals.
You have been asked to analyze the arrests you and
your colleagues make at the school. You have a list of all of the
students that...

Which of the following is true for independent events A and
B?
A. All the above
B. P(A|B)=P(A)
C. P(A and B) = P(A)P(B)
D. P(B|A)=P(B)

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 two independent events such that P(A) = 0.17 and
P(B) = 0.63. What is P(A or B)? Your answer should be given to 4
decimal places.
An urn contains 27 red marbles, 20 blue marbles, and 42 yellow
marbles. One marble is to be chosen from the urn without
looking.
What is the probability of choosing a red or a blue marble?
Your answer should be rounded to 4 decimal places.

Which of the following statements is true?
A. If A and B are independent events then, P (A or B) = P (A) +
P (B)
B. If A and B are mutually exclusive events then P (A / B) = 0, as
long as P (B) is not equal to 0.
C. If S = {all apartments for rent} and A = {all apartments for
rent for less than $ 300 per month} then A '= {all apartments for...

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