Question

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 the event.

15. If events A and B are independent, then P(A|B) is always equal to P(A).

16. Events that have no sample space outcomes in common and,
therefore cannot occur simultaneously are referred to as mutually
independent events.

17. The binomial experiment consists of n independent, identical
trials, each of which results in either success or failure and the
probability of success changes from trial to trial.

18. The standard deviation of a binomial distribution is
np(1-p).

19. In a binomial distribution the random variable X is discrete.

20. The standard deviation and mean are the same for the standard
normal distribution.

21. In a statistical study, the random variable X = 1, if the house is colonial and X = 0 if the house is not colonial, then it can be stated that the random variable is continuous.

22. For a continuous distribution, P(X ≤ 10) is the same as P(X<10).

23. For a continuous distribution, the exact probability of any particular value is always zero.

24. For a binomial probability experiment, with n = 60 and p =.2, it is appropriate to use the normal approximation to the binomial distribution without continuity correction.

25. All continuous random variables are normally distributed.

Answer #1

True or False?
19. In a binomial distribution the random variable X is
discrete.
20. The standard deviation and mean are the same for the
standard normal distribution.
21. In a statistical study, the random variable X = 1, if the
house is colonial and X = 0 if the house is not colonial, then it
can be stated that the random variable is continuous. 22. For a
continuous distribution, P(X ≤ 10) is the same as P(X<10).
23. For...

Chapter 3
7. The income distribution is skewed to the right; therefore, the
Median Income must be greater than the Mean Income.
8. The sample standard deviation formula does Not make it an
unbiased estimator.
9. The mean is said to be less resistant to extreme values.
Chapter 5
10. The probability of an event is a value which must be greater
than 0 and less than 1.
11. Two events are independent if the probability of one event
is...

1. Given a discrete random variable, X , where the
discrete probability distribution for X is given on right,
calculate E(X)
X
P(X)
0
0.1
1
0.1
2
0.1
3
0.4
4
0.1
5
0.2
2. Given a discrete random variable, X , where the
discrete probability distribution for X is given on right,
calculate the variance of X
X
P(X)
0
0.1
1
0.1
2
0.1
3
0.4
4
0.1
5
0.2
3. Given a discrete random variable, X...

Determine if the random variable from the experiment follows a
Binomial Distribution.
A random sample of 5 SLCC professors is obtained, and the
individuals selected are asked to state the number of years they
have been teaching at SLCC.
1. There there are two mutually exclusive outcomes
(success/failure).
[ Select ]
["FALSE",
"TRUE"]
2. Since a sample size of 5 is less than...

Which of the following statements is false? Briefly explain your
answer.
(A) If the probability of A is 0.6 and the probability of B is
0.5, then A and B cannot be mutually exclusive.
(B) If the probability of A is 0.4 and the probability of B is
0.6, and if A and B are independent, then P(A and B) must be equal
to 0.24.
(C) If P(A) = 0.3, P(B) = 0.6, and P(A or B) = 0.72, then...

1. Compute the mean and variance of the following probability
distribution. (Round your answers to 2 decimal
places.)
x
P(x)
4
0.10
7
0.25
10
0.30
13
0.35
2. Given a binomial distribution with n = 6 and π=
.25. Determine the probabilities of the following events using the
binomial formula. (Round your answers to 4 decimal
places.)
x = 2
x = 3
3. A probability distribution is a listing of all the outcomes
of an experiment and the...

10. What does a z-score tell you?
11. In a continuous probability distribution, what does the area
under the curve represent?
12. Mark is deciding which route to take to class. His choices are
I = the Interstate and F = Fifth Street. P(I) = 0.44 and P(F) =
0.56 P(I AND F) = 0 because Mark will take only one route to work.
What is the probability of P(I OR F)?
13. Assume you have a binomial distribution. In...

1. (10 pts) If A and B are independent events (both with
probability greater than 0) then which of the following statements
must be true?
A. P(A) + P(B) = 1
B. P(A and B) = P(A)P(B)
C. P(A and B) = 0
D. P(A and B) = P(A) + P(B)
2. (10 pts)A salesperson makes “cold calls” trying to sell a
product by phone and is successful on each call with probability
1/50. Whether or not he is successful...

Bonus Group Project 1: Negative Binomial
Distribution
Negative Binomial experiment is based on sequences of Bernoulli
trials with probability of success p. Let x+m be the number of
trials to achieve m successes, and then x has a negative binomial
distribution. In summary, negative binomial distribution has the
following properties
Each trial can result in just two possible outcomes. One is
called a success and the other is called a failure.
The trials are independent
The probability of success, denoted...

Consider a standard 52-card deck from which one card is
randomly selected and not replaced. Then, a second card is randomly
selected. Define the two events as given. Complete parts a) and b)
below.
A = The first card is a club
B = The second card is a king
Are these two events mutually exclusive? Why or why not?
A.The events are not mutually exclusive. The event of selecting
a club card as the first card cannot occur at...

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