Question

Suppose that there are 7 trials in a binomial experiment & the probability of success is 0.20.

(a) Find the probability of obtaining exactly 2 successes.

(b) Find the probability of obtaining at most 2 successes.

Answer #1

Key idea if is the number of success obtained and is the number of trials with success probability then

probability of obtaining successes

A binomial experiment consists of four independent trials. The
probability of success in each trial is
13⁄100 . Find the probabilities of obtaining
exactly 0 successes, 1 success, 2 successes, 3 successes, and 4
successes, respectively, in this experiment.
a) [0.5729, 0.0856, 0.0895, 0.0019, 0.0003]
b) [0.5729, 0.3424, 0.0767, 0.0076, 0.0003]
c) [0.5729, 0.0263, 0.0384, 0.0076, 0.0003]
d) [0.5729, 0.0856, 0.0767, 0.0588, 0.0003]
e) [0, 0.5729, 0.3424, 0.0767, 0.0076]

Consider a binomial experiment with 16 trials and probability
0.65 of success on a single trial.
(a) Use the binomial distribution to find the probability of
exactly 10 successes. (Round your answer to three decimal
places.)
(b) Use the normal distribution to approximate the probability
of exactly 10 successes. (Round your answer to three decimal
places.)

For a binomial experiment with a n=8 trials, each with a success
probability p=0.46, what is the probability of obtaining less than
5 successes?

A binomial experiment consists of 800 trials. The probability of
success for each trial is 0.4. What is the probability of obtaining
300?-325 ?successes? Approximate the probability using a normal
distribution.? (This binomial experiment easily passes the?
rule-of-thumb test for approximating a binomial distribution using
a normal? distribution, as you can check. When computing the?
probability, adjust the given interval by extending the range by
0.5 on each? side.)

Assume that a procedure yields a binomial distribution with
nequals=55 trials and a probability of success of pequals=0.50 Use
a binomial probability table to find the probability that the
number of successes x is exactly 22.

Assume that Y is distributed according to a binomial
distribution with n trials and probability p of success.
Let g(p) be the probability of obtaining either no successes or all
successes, out of n trials. Find the MLE
of g(p).

Determine the probability P2 or fewer for a binomial experiment
with n=13 trials and the success probability
p=0.2 Then find the mean, variance, and standard deviation.

a. In a binomial distribution with 9 trials and a success
probability of 0.4, what would be the probability of a success on
every trial? Round to 4 decimal places.
b. In a binomial distribution with 12 trials and a success
probability of 0.6, what would be the probability of a success on
every trial? Round to 4 decimal places.
c. A binomial distribution has a success probability of 0.7, and
10 trials. What is the probability (rounded to 4...

1.) A binomial experiment consists of 19 trials. The
probability of success on trial 12 is 0.54. What is the probability
of success on trial 16?
0.54
0.15
0.39
0.88
0.5
0.11
2. Assume that 12 jurors are randomly selected from a
population in which 86% of the people are Asian-Americans. Refer to
the probability distribution table below and find the indicated
probabilities.
xx
P(x)P(x)
0
0+
1
0+
2
0+
3
0+
4
0+
5
0.0004
6
0.0028
7...

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

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