Question

A sample of 150 is drawn from a population with a proportion equal to 0.41.

a. Determine the probability of observing between 50 and 54 successes.

b. Determine the probability of observing between 55 and 62 successes.

c. Determine the probability of observing between 53 and 70 successes.

Answer #1

We are given: p = 0.41 and n=150

Let X be the number of successes. Then:

**X~ Binomial(150,0.41)**

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A sample of 125 is drawn from a population with a proportion
equal to 0.450
a. Determine the probability of observing between 50 and 54
successes.
b. Determine the probability of observing between 55 and 62
successes.
c. Determine the probability of observing between 53 and 70
successes.
Round to 4 decimal places

A sample of 125 is drawn from a population with a proportion
equal to 0.39. Must show all work, use formulas only.
NO Excel.
a. Determine the probability of observing between 50 and
54successes.
b. Determine the probability of observing between 55 and 62
successes.
c. Determine the probability of observing between 53 and 70
successes.

A sample of 120 is drawn from a population with a proportion
equal to 0.50. Determine the probability of observing between 54
and 72 successes.

A sample of 150 is drawn from a population with a proportion
equal to 0.40.Determine the probability of observing between 52 and
72successes

sample of 320 is drawn from a population with a proportion equal
to 0.25. Determine the probability of observing between 74 and 93
successes. P(Observing between 74 and 93 successes)equals
nothing

A random sample of n=81 observations is drawn from a population
with a mean equal to 57 and a standard deviation equal to 54, find
the probability if x is less than 51, x is greater than 66, and if
x falls between 51 and 63

A random sample of n=36 observations is drawn from a population
with a mean equal to 60 and a standard deviation equal to 36.
a. Find the probability that x? is less than 48 ____
b. Find the probability that x? is greater than 63____
c. Find the probability that x? falls between 48 and 78 ____

A population proportion is 0.3. A sample of size 150 will be
taken and the sample proportion will be used to estimate the
population proportion. Use z-table. Round your
answers to four decimal places.
a. What is the probability that the sample proportion will be
within ±0.03 of the population proportion?
b. What is the probability that the sample proportion will be
within ±0.05 of the population proportion?

Please Show Work
1. A sample size 5 will be drawn from a normal population with
mean 60 and standard deviation 12.
a. Is it appropriate to use the normal distribution to find
probability for ?̅? Explain why?
b. If appropriate find the probability that ?̅will be between 50
and 70.
c. If appropriate find the 80th percentile of ?̅?

A sample of n=15 observations is drawn from a normal population
with μ=1060 and σ=150. Find each of the following:
A. P(X¯>1137)
Probability =
B. P(X¯<982)
Probability =
C. P(X¯>1009)
Probability =

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