Answer:
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- <u><em>Yes, it is reasonable to expect that more than one subject will experience headaches</em></u>
Explanation:
Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."
You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.
- p = 0.732 is the probability of success (an individual experiences headaches).
- n = 5 is the number of trials (number of subjects in the sample).
The meaning of the table of the distribution probability is:
The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.
To answer whether it <em>is reasonable to expect that more than one subject will experience headaches</em>, you must find the probability that:
- X = 2 or X = 3 or X = 4 or X = 5
That is:
- P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).
That is also the complement of P(X = 0) or P(X = 1)
From the table:
- P(X = 0) = 0.0014
- P(X = 1) = 0.0189
Hence:
- 1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797
That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.
In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience headaches</em>
Answer:
m=48
Step-by-step explanation:
Answer:
The probability that you lose at most 2 out of your 6 races is 0.54432.
Step-by-step explanation:
We are given that you are running a race. The probability that you win is 3/5.
There are total of 6 races.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 6 races
r = number of success = at most 2 lost
p = probability of success which in our question is probability that
you lose a race = 1 - (3/5) = 2/5 or 0.4
Let X = <u><em>Number of races lost </em></u>
So, X ~ Binom(n = 6, p = 0.40)
Now, the probability that you lose at most 2 out of your 6 races is given by = P(X
2)
P(X
2) = P(X = 0) + P(X = 1) + P(X = 2)
=
=
= <u>0.54432</u>
Answer:
Each side has a length of 11yd
Step-by-step explanation:
To calculate the side of the square we have to apply the formula of the perimeter of a square and clear s
p = perimeter = 44yd
s = side
p = s * 4
p /4 = s
we replace with known values
44yd / 4 = s
11yd = s
Each side has a length of 11yd
Answer:
So, if a star is moving towards Earth, it appears to emit light that is shorter in wavelength compared to a source of light that isn't moving. ... In contrast, the light from a star moving away from us seems to shift towards longer wavelengths. As this is towards the red end of the spectrum, astronomers call it redshift.
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