T is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.
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The probability that more than 30 Americans of the 50 in the survey approve of the missile strikes is .3859
<h3>How to determine if the normal distribution can be applied?</h3>The given parameters are:
Sample size, n = 50
Population proportion, p = 0.58
By central limit theorem (CLT), the normal approximation can be used with this distribution because the sample size is greater than 30
<h3>The mean of the sampling proportion? </h3>This is the same as the population proportion.
So, the mean of the sampling proportion is 0.58
<h3>The standard deviation sampling proportion? </h3>This is calculated using:
So, we have:
σ = 0.0698
<h3>That no more than 25 Americans approve of the missile strikes? </h3>Start by calculating the p-value
p = 25/50
p = 0.5
The z-score is:
This gives
This gives
z = -1.15
Using the z-table of probability, the requested probability is:
P(z ≤ -1.15) = 0.1251
<h3>The probability that more than 30 approved of the missile strikes? </h3>Start by calculating the p-value
p = 30/50
p = 0.6
The z-score is:
This gives
This gives
z = 0.29
Using the z-table of probability, the requested probability is:
P(z > 0.29) = 0.3859
Read more about normal distribution at:
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It is possible for two different inputs to give you the same output. For example, -2 and 2 produce the same result: 5.
it is not possible to derive two different outputs from the same input. This is because a) is a function making it impossible to have two outputs and b) for each value, if you square it, you only get one value, then adding one, making it one certain value.