SOLUTION: A study of health care recorded the number of visits to a physician made by a person in a year. The probability distribution of the random variable x is shown below: Visits

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Question 849718: A study of health care recorded the number of visits to a physician made by a person in a year. The
probability distribution of the random variable x is shown below:
Visits 0 1 2 3 4 5 6 7 8 9 10 11 12
Probability .10 .08 .06 .08 .12 .13 .12 .10 .09 .06 .03 .02 .01

The mean is 4.89 and the standard deviation i s3. What is the probability that a person makes a
number of visits to a physician that is within 1 standard deviation of the mean?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A study of health care recorded the number of visits to a physician made by a person in a year. The
probability distribution of the random variable x is shown below:
Visits::::::: 0 1 2 3 4 5 6 7 8 9 10 11 12
Probability .10 .08 .06 .08 .12 .13 .12 .10 .09 .06 .03 .02 .01
The mean is 4.89 and the standard deviation is 3.
What is the probability that a person makes a number of visits to a physician that is within 1 standard deviation of the mean?
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Visits range:
lower limit 4.89-3 = 1.89
upper limit 4.89+3 = 7.89
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Percent within that visit interval:
0.06+0.08+0.12+0.13+0.12+0.10 = 0.51 = 51%
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Cheers,
Stan H.
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