What is Normal, Binomial, Poisson and Exponential Distributions
with examples.
What is Continuous Distributions and Density Functions.
What is Normal density and Standardizing: Z-Values
The binomial and Poisson distributions are two different
discrete probability distributions. Explain the differences between
the distributions and provide an example of how they could be used
in your industry or field of study. In replies to peers, discuss
additional differences that have not already been identified and
provide additional examples of how the distributions can be
used.
The binomial and Poisson distributions are two different
discrete probability distributions. Explain the differences between
the distributions and provide an example of how they could be used
in your industry or field of study.
Binomial distributions are approximately normal when the number
of trials is large, and the probaility of success is not near zero
or one. A player flips an unbiased coin 1,296 times.
a. What is the probability of the coin landing on heads between
612 and 684 times?
4. For this problem, you’ll compare the hypergeometric and
binomial distributions. Suppose there is a sock drawer with N
socks, each placed loosely in the drawer (not rolled into pairs).
The total number of black socks is m. You take out a random sample
of n < m socks. Assume all the socks are the same shape, size,
etc. and that each sock is equally likely to be chosen.
(a) Suppose the sampling is done without replacement. Calculate
the probability...
For the following binomial distributions, determine if you can
approximate with a normal distribution. Then, find the given
probabilities.
a) A survey of US adults found that 55% are familiar with the
Geneva Conventions and international humanitarian law. You randomly
select 40 US adults and ask them whether they are familiar with the
Geneva Conventions and international humanitarian law. Find the
probability that between 18 and 25, inclusive, are familiar with
the Geneva Conventions and international humanitarian
law.
Can you...
a) Calculate the mean, variance, and standard deviation for each
of the binomial distributions below.
i) ?~?(1000,0.05)
ii) ?~?(800,0.25)
b) Team Victory’s winning rate is 20% whenever it plays a match. If
the team Victory played 10 matches, what is the probability:
i) It will win exactly one match.
ii) It will win at most two matches.
c) On average, Ali scores a goal per match. What is the probability
that Ali will score:
i) No goals in the next...
Discuss how a manager of a retail store can use both the
binomial and Poisson distributions to make business decisions.
Explain how the distributions differ. Provide examples of the type
of data that could be used in calculating the probabilities.
Question 2
Graph P(X=x) for binomial distributions with the following
parameters
a) ? = 4 ??? ? = 0.5
b) ? = 4 ??? ? = 0.3
c) ? = 4 ??? ? = 0.1
d) Which if any of the graphs in part a-c are
symmetric?
e) Without actually constructing the graph, would
the case
? = 10 ??? ? = 0.5 be symmetric or skewed?
f) Which of the graphs in part a-c is the most
heavily skewed?...
Normal Approximation to the Binomial and Poisson
Distributions. Lognormal Distribution
1. In a classroom, 1 person in 6 students is left handed. If a
class contains 40 students, what is the probability that 10 or more
are left-handed? What is the probability that 10 or more are
left-handed?
2. According to information available, an average of 3 accidents
occurs every month in a certain junction of a city. But using
suitable approximation, estimate the probability that at least 40
accidents...