Question

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.)

Answer #1

Consider a binomial experiment with n = 6 trials where the
probability of success on a single trial is p = 0.45. (For each
answer, enter a number. Round your answers to three decimal
places.)
(a) Find P(r = 0).
(b) Find P(r ≥ 1) by using the complement rule

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.)

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...

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.

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]

A binomial experiment consists of 12 trials. The probability of
success on trial 5 is 0.7. What is the probability of success on
trial 9?
0.5
0.25
0.7
0.24
0.29
0.65

You conduct 24 Bernoulli trials with probability 0.65 of
success. What is the probability that you will obtain exactly 11 or
fewer successes? Round your answer to three decimal places. even if
the third decimal place is a 0.

For one binomial experiment, n1 = 75 binomial trials
produced r1 = 45 successes. For a second independent
binomial experiment, n2 = 100 binomial trials produced
r2 = 65 successes. At the 5% level of significance, test
the claim that the probabilities of success for the two binomial
experiments differ.
(a) Compute the pooled probability of success for the two
experiments. (Round your answer to three decimal places.)
(b) Compute p̂1 - p̂2.
p̂1 - p̂2 =
(c) Compute the...

For one binomial experiment, n1 = 75 binomial trials produced r1
= 30 successes. For a second independent binomial experiment, n2 =
100 binomial trials produced r2 = 50 successes. At the 5% level of
significance, test the claim that the probabilities of success for
the two binomial experiments differ.
(a) Compute the pooled probability of success for the two
experiments. (Round your answer to three decimal places.)
(b) Compute p̂1 - p̂2.
p̂1 - p̂2 =
(c)Compute the corresponding...

In the binomial probability distribution, let the number of
trials be n = 3, and let the probability of success be p = 0.3742.
Use a calculator to compute the following.
(a) The probability of two successes. (Round your answer to
three decimal places.)
(b) The probability of three successes. (Round your answer to
three decimal places.)
(c) The probability of two or three successes. (Round your
answer to three decimal places.)

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