Question

1)For a binomial distributions, what is the value for the variance of X.

Group of answer choices

Var(X) = p(1-p)

Var(X) = p^2

Var(X) = np(1-p)

2) let X follow a binomial distribution with n = 15 and p = 0.32.

What is the probability of seeing 6 successes?

Group of answer choices

0.1670

0.8278

0.2130

3)

Let X follow a binomial distribution with n = 15 and p = 0.32.

What is the probability of seeing more than 9 successes?

Group of answer choices

0.0236

0.0062

0.9938

4)

Let X follow a binomial distribution with n = 15 and p = 0.32.

What is the probability of seeing at least 6 successes?

Group of answer choices

0.6607

0.1722

0.3393

Answer #1

A) A binomial probability experiment is conducted with the given
parameters. Compute the probability of x successes in the n
independent trials of the experiment.
n=12 , p=.35 , x=2
p(2)= ?
B) A binomial probability experiment is conducted with the given
parameters. Compute the probability of x successes in the n
independent trials of the experiment.
n= 30 p=.03 , x=2
P(2)= ?
C) A binomial probability experiment is conducted with the given
parameters. Compute the probability of x...

1) Using the binomial distribution, answer the
following question. In the Southwest, 5% of all cell phone calls
are dropped. What is the probability that out of six randomly
selected called, exactly one will be dropped?
Group of answer choices
0
.393
.232
.001
2) Consider the following probability
distribution below and calculate the expected value of x.
x f(x)
10
.20
20
.30
30
.40
40
.05
50
.05
Group of answer choices
150
35
24.5
30
3) Using...

1.) Which of the following could be a legitimate
probability distribution?
Group of answer choices
X
0.3
0.7
P(X)
- 0.5
1.5
X
- 4
1.5
10
P(X)
- 0.6
0.1
0.3
X
1
2
3
P(X)
0.4
0.3
0.2
X
- 1
-2
- 3
P(X)
1.2
0.6
0.3
None of the above are legitimate probability distributions.

Problem 1: Relations among Useful Discrete Probability
Distributions. A Bernoulli experiment consists of
only one trial with two outcomes (success/failure) with probability
of success p. The Bernoulli distribution
is
P (X = k) =
pkq1-k,
k=0,1
The sum of n independent Bernoulli trials forms a binomial
experiment with parameters n and p. The binomial probability
distribution provides a simple, easy-to-compute approximation with
reasonable accuracy to hypergeometric distribution with parameters
N, M and n when n/N is less than or equal...

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...

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 ...

Let X be a binomial random variable with E(X) = 7 and Var(X) =
2.1.
(a) [5 pts] Find the parameters n and p for the binomial
distribution.
n =
p =
(b) [5 pts] Find P(X = 4). (Round your answer to four decimal
places.)
(c) [5 pts] Find P(X > 12)

Suppose that x has a binomial distribution with n
= 202 and p = 0.47. (Round np and n(1-p) answers
to 2 decimal places. Round your answers to 4 decimal places. Round
z values to 2 decimal places. Round the intermediate value (σ) to 4
decimal places.)
(a) Show that the normal approximation to the
binomial can appropriately be used to calculate probabilities about
x
np
n(1 – p)
Both np and n(1 – p) (Click to select)≥≤
5
(b)...

Suppose that x has a binomial distribution with n = 199 and p =
0.47. (Round np and n(1-p) answers to 2 decimal places. Round your
answers to 4 decimal places. Round z values to 2 decimal places.
Round the intermediate value (σ) to 4 decimal places.) (a) Show
that the normal approximation to the binomial can appropriately be
used to calculate probabilities about x. np n(1 – p) Both np and
n(1 – p) (Click to select) 5 (b)...

A binomial distribution has p? = 0.26 and n? = 76. Use the
normal approximation to the binomial distribution to answer parts
?(a) through ?(d) below.
?a) What are the mean and standard deviation for this?
distribution?
?b) What is the probability of exactly 15 ?successes?
?c) What is the probability of 14 to 23 ?successes?
?d) What is the probability of 11 to 18 ?successes

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