Question

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 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:
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...

Suppose Y is a random variable that follows a binomial
distribution with n = 25 and π = 0.4. (a) Compute the exact
binomial probability P(8 < Y < 14) and the normal
approximation to this probability without using a continuity
correction. Comment on the accuracy of this approximation. (b)
Apply a continuity correction to the approximation in part (a).
Comment on whether this seemed to improve the approximation.

If x is a binomial random variable where n = 100 and p = 0.20,
find the probability that x is more than 18 using the normal
approximation to the binomial. Check the condition for continuity
correction.

If x is a binomial random variable where n = 100 and p = 0.20,
find the probability that x is more than 18 using the normal
approximation to the binomial. Check the condition for continuity
correction
need step and sloution

Statistics
True/False 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.

What kind of variable has values determined by chance?
random variable
discrete variable
continuous variable
Question 5
A binomial distribution is a probability distribution for a:
discrete random variable
continuous random variable
Question 6
A normal distribution is a probability distribution for a:
continuous random variable
discrete random variable
Question 7
Which is not a property of the binomial distribution?
only two outcomes
fixed number of trials
constant probability of success
dependent outcomes

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...

Let
X be a binomial random variable with parameters n = 500 and p =
0.12. Use normal approximation to the binomial distribution to
compute the probability P (50 < X ≤ 65).

Consider the following question and determine if the random
variable X is Continuous or
Discrete. Select a distribution to use
from the options to find the exact probability in question. Select
either Uniform, Binomial,
Poisson, Normal, or
Exponential. Do not solve the problem simply
explain how you arrived at your conclusion when selecting the
random variable and the selected distribution.
Question:
You have taken a sample from a batch of parts and have averaged
the diameter of the parts in...

Discrete Random Variables have either a finite or countable
number of values.
True
False
An example of continuous variables is bushels of wheat per
acre.
True
False
The Mean Value of a discrete probability distribution (denoted
by mu is a weighted average of the x-values AND represents the
average values of all possible outcomes.
True
False
Explain why in a binomial probability distribution, p + q =1.
Make one sentence work.

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