Answer:
0.59% probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have had chickenpox, or they have not. The probability of a person having had chickenpox is independent from other people. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
90% of Americans have had chickenpox by the time they reach adulthood.
This means that 
Suppose we take a random sample of 100 American adults. Is the use of the binomial distribution appropriate for calculating the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood
This is
when
. So


0.59% probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.
Answer:
The answer is letter A, It will continue to get darker.
Explanation:
Adaptive Evolution is a process on how a population inherits traits in the future. This includes <em>natural selection, directional selection, sexual selection, diversifying selection, etc.</em>
Directional Selection- this happens when a particular population of an organism selects for specific phenotypes in order to adapt to its changing environment.
In the case of the<em> Peppered Moth</em>, it's change in color from light to dark is caused by the air pollution that occurred during the Industrial Revolution in England. <em>It changed its color in order to adapt to the dirt or soot that settled in the environment. </em>Peppered moths were originally white in color. This allowed them to camouflage in their clean environment.
If the directional selection continues, that would mean the Peppered Moth will continue to get darker. <u>The thicker the air pollution, the darker it will be.</u> If the air pollution will be lessened, then it will become lighter again.
The function f(x)=12,419(1.4)^× represents the number of vistors to a website x years after it was launched. Each year , the number of visitors is _<em>1.4</em><em> </em><em>times</em><em> </em><u>_</u> the number the year before
Option A
Hope this helps ^-^
Answer:88
Step-by-step explanation:
You can simplify -8/-2 its 4 then take 4 to the 3rd power and you'll get 64 the take 3×-2 and you'll get -6 then multiply -6×4 and you'll get -24 then subtract 64 - (-24) which would end up being plus a positive and you'll get 88
Answer:
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Step-by-step explanation:
If this is the same question I had then this would be the correct answer, hope this helps!