If two different people are randomly selected from the 884 subjects, find the probability that they are both women. Round to fou
1 answer:
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Step-by-step explanation:
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Detailed analysis:
The scenario mentions that a mouse covered a total of 3/24 miles over a span of 3 hours. The mouse traveled an identical distance during each hour. To find out how far the mouse went in one hour, we need to divide 3/24 miles by 3. Thus,
Matt's calculation indicates that the outcome is 3/8 hours. When he divides 3/24 by 3, he should take the reciprocal of 3, but he doesn't, resulting in 9 as the numerator and 24 as the denominator. The fraction 9/24 simplifies to 3/8. However, the accurate answer should have been 1/24 hours.
Answer:
a. 0.82%
b. 71.11%
c. 0.564 micrometer
Step-by-step explanation:
To find the z value for each measurement, we must calculate and determine the percentage they correspond to, and the difference will give us the percentage between those two statistics.
The equation for z is:
z = (x - m) / (sd)
Here, x is the value being evaluated, m denotes the mean, and sd represents the standard deviation.
a.
For 0.62 copies, we calculate:
z = (0.62 - 0.5) / (0.05)
z = 2.4
This translates to 0.9918.
Therefore, p (x > 0.62) = 1 - 0.9918
p (x > 0.62) = 0.0082 = 0.82%
b.
For 0.47 copies, we have:
z = (0.47 - 0.5) / (0.05)
z = -0.6, which equates to 0.2742.
For 0.63 copies:
z = (0.63 - 0.5) / (0.05)
z = -2.6, which yields 0.9953.
Hence, p (0.47 > x > 0.63) = 0.9953 - 0.2742
p (0.47 > x > 0.63) = 0.7211 = 72.11 %
c.
For x copies, we find:
p = 0.9 corresponds to z = 1.28.
Thus, 1.28 = (x - 0.5) / (0.05)
From which we derive:
x = 1.28*0.05 + 0.5
x = 0.564 micrometer
Response:
Detailed explanation:
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It looks like the third option is the one that fits your requirements.