Question

Your neighborhood gym tracked how many days
number of days per week a member worked out.
each of its members worked out over the past week. Let G = the
Number of Days

Probability

Interpret the standard deviation of G.
O The mean number of days a member worked out would typically be
about 1.6764 from the expected number of
days
The mean number of days a member worked out
days.
typically be about 2.2913 from the expected number of
The number of days a member worked out would typically be about 1.6764 from the expected number of days.
The number of days a member worked out would typically be about 1.6764 from the mean about 68% of the
tme.

Answer 1

The correct interpretation of the standard deviation of the given discrete distribution is:

The mean number of days a member worked out would typically be about 1.6764 from the expected number of days.

What are the mean and the standard deviation of a discrete distribution?

• The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

• The standard deviation is the square root of the sum of the difference squared between each outcome and the mean, multiplied by it's respective probabilities.

Hence:

E(X) = 0.4(0) + 0.12(1) + 0.13(2) + 0.15(3) + 0.06(4) + 0.02(5) + 0.02(6) + 0.01(7) = 1.36

$\sqrt{V(X)} = \sqrt{0.4(0-1.36)^2 + 0.12(1-1.36)^2 + 0.13(2-1.36)^2 + \cdots + 0.01(7-1.36)^2} = 1.674$

Hence the correct option is:

The mean number of days a member worked out would typically be about 1.6764 from the expected number of days.

More can be learned about discrete distributions at https://brainly.com/question/24855677

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Answer 2

Answer:

c

Step-by-step explanation: