Question

The main difference between hypergeometric and binomial distributions is that, with the hypergeometric distribution, the _____.

Select one:

a. trials are independent of each other

b. probability of success must be less than .5

c. probability of success changes from trial to trial

d. random variable is continuous

Answer #1

The main difference between hypergeometric and binomial
distributions is that, with the hypergeometric distribution, the
**probability of success changes from trial to
trial**

**Explanation:**

- Both the hypergeometric distribution and the binomial distribution describe the number of times an event occurs in a fixed number of trials.

- For the binomial distribution, the probability is the same for every trial.

- For the hypergeometric distribution, each trial changes the probability for each subsequent trial because there is no replacement.

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...

Consider two binomial distributions, each have n=15 trials. The
first distribution has the probability of success of each trial
with p1=0.80 and the second distribution has the probability of
success of each trial with p2=0.24. What do you observe about these
two binomial distributions?
Select one:
a. The first binomial distribution will have a lower expected
value than the second binomial distribution.
b. The shape of the first binomial distribution is skewed right,
while the second binomial distribution is skewed...

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...

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...

Let X be a binomial random variable with n =
400 trials and probability of success p = 0.01. Then the
probability distribution of X can be approximated by
Select one:
a. a Hypergeometric distribution with N =
8000, n = 400, M = 4.
b. a Poisson distribution with mean 4.
c. an exponential distribution with mean 4.
d. another binomial distribution with n =
800, p = 0.02
e.
a normal distribution with men 40 and variance 3.96.

Suppose is a Binomial random variable for which there
are 8 independent trials and probability of success 0.5 and is a
Binomial random variable for which there are 10 independent trials
and probability of success 0.5. What is the difference in their
means?
a.
1
b.
1.25
c.
1.5
d.
0.5
e.
2

11. For the binomial distribution, which one of the following is
true?
A. We conduct as many repeated trials as needed to obtain a
specified number of successes.
B. The outcome of each trial is affected by the outcomes of the
trials before it.
C. The probability of success must be the same for all
trials.
D. B and C are both true

Match the distribution to the description
Group of answer choices
Bernoulli
Binomial
Geometric
Negative Binomial
Poisson
Counting the number of occurrences of an event in a continuous
interval
the sum of n independent bernoulli trials
given a series of independent bernoulli trials, stop when you
get r successes (where r can be any positive integer)
given a series of independent bernoulli trials, stop when you
get the first success ...

for a random variable of 16 trials that follows a binomial
distribution with the probability of failure at 35%, find the
probability of fewer than 8 success.

In each situation, is it reasonable to use a binomial
distribution for the random variable X? If the situation is not
reasonable for a binomial distribution, select the correct
statement that explains why.
(a) An auto manufacturer chooses one car from each hour's
production for a detailed quality inspection. One variable recorded
is the count X of finish defects (dimples, ripples, etc.) in the
car's paint. Is it reasonable to use a binomial distribution for
the random variable X? Select...

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