How do you find the mean of the random variable #x#?
X= 5,10,15,20,25
P(x) = 1/5, 1/5 , 1/5, 1/5, 1/5
What is the variance and standard deviation of the random variable #x# ?
What is the standard deviation of the random variable #x# ?
X= 5,10,15,20,25
P(x) = 1/5, 1/5 , 1/5, 1/5, 1/5
What is the variance and standard deviation of the random variable
What is the standard deviation of the random variable
For a probability distribution
in this case we have
the variance is calculated by
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To find the mean of a random variable ( x ), you calculate the sum of all possible values of ( x ) multiplied by their respective probabilities, then divide by the total number of possible values or trials. Mathematically, it's expressed as:
[ \text{Mean} (\mu) = \sum_{i=1}^{n} x_i \cdot P(x_i) ]
Where:
- ( x_i ) represents each possible value of the random variable.
- ( P(x_i) ) represents the probability associated with each value ( x_i ).
- ( n ) is the total number of possible values or trials.
By summing up ( x_i \cdot P(x_i) ) for all possible values of ( x ), you obtain the mean of the random variable ( x ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- The commuting time for all employees of a company has a normal distribution with a mean of 44.6 minutes and a standard deviation of 11.2 minutes. What is the probability that the mean computing time by a sample of 12 employees is between 43.26 and 49.35?
- How do you find the mean of the following set of numbers: 12, 14, 16, 12, 13?
- There are 8 members of the women’s basketball team and 7 members of the men’s track team at an athletic club meeting. What is the probability that a committee of 3 selected at random will have at least 2 members of the basketball team?
- Products from a certain machine are too large 15% of the time. What is the probability that in a run of 20 parts, 5 are too large?
- You keep track of the time you spend doing homework each evening. You spend 58 minutes, 36 minutes, 44 minutes, and 37 minutes. How do you find the mean of these times?

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