For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.
- A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x].
- The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable.
- Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).
- Mean(μ) = (1+2+3+4+5+6)/6
- Mean(μ) = 21/6
- Mean(μ) = 3.5
- The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'.
- A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'.
- σ² = E[X²]−μ²
- σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²
- σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²
- σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²
- σ² = (91/6) - (3.5)²
- σ² = 15.167-12.25
- σ² = 2.917
- σ = √2.917
- Standard deviation (σ) = 1.708
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Answer with Step-by-step explanation:
We are given that six integers 1,2,3,4,5 and 6.
We are given that sample space
C={1,2,3,4,5,6}
Probability of each element=
We have to find that 
Total number of elements=6
={1,2,3,4}
Number of elements in =4
Using the formula
={3,4,5,6}
Number of elements in =4
={3,4}
Number of elements in 
{1,2,3,4,5,6}
Answer:
Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas
Step-by-step explanation:
the top number is the exponent, the bottom number is the root.
15) ![\sqrt[3]{(2p)^{1} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%282p%29%5E%7B1%7D%20%7D)
= ![\sqrt[3]{2p}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2p%7D)
16) ![16\sqrt[4]{(x)^{3} }](https://tex.z-dn.net/?f=16%5Csqrt%5B4%5D%7B%28x%29%5E%7B3%7D%20%7D)
= ![16\sqrt[4]{x^{3} }](https://tex.z-dn.net/?f=16%5Csqrt%5B4%5D%7Bx%5E%7B3%7D%20%7D)
Answer:
y=1
Step-by-step explanation:
the x changes but the y stays the same
