Hello,
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1 answer:
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Answer:
49.87% of the population has a heart rate between 68 and 77.
Step-by-step explanation:
We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.
Let X = <u><em>the data for the resting heart of adults</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = population mean = 68 beats per minute
= standard deviation = 3 beats per minute
Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)
P(68 < X < 77) = P(X < 77) - P(X 68)
P(X < 77) = P( <
) = P(Z < 3) = 0.9987
P(X 68) = P(
) = P(Z
0) = 0.50
The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.
Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%
ANSWER
Option C is correct.
EXPLANATION
The given function is
The base function is
The given function has the same domain as its base function which is all real numbers.
Any real number you plug into this function is defined.
Since the function has no restriction, the domain is all real numbers.