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suter [353]
3 years ago
11

PLEASE CAN SOMEONE HELP FAST BEG U SIMULTANEOUS EQUATION P/2 + Q/3 =6 P/3 + Q/3 =0

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

{Q = -(3 P)/2, Q = -6 P}

Step-by

-step explanation:

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Mean = 24.47

Variance = 108.31

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<h2>Step-by-step explanation:</h2>

The probability distribution table has been attached to this response.

<em>(1) To calculate the mean (m)</em>

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This is shown in the third column of the table.

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<em>(2) To calculate the variance </em> <em>(σ²).</em>

(a) First find the square of the difference between the values of x and the mean (m) calculated in (1b) above. i.e

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The result is shown in the fourth column of the table.

(b) Next, multiply each of the results in the fourth column (x - m)², by their corresponding probability values P(X = x). i.e

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The result is shown in the fifth column of the table.

(c) Now find the variance (σ²) which is the sum of the results in the fifth column. i.e

σ² = ∑(x - m)²(P(X = x)) = 42.5411 + 0.8427 + 18.8330 + 46.0923

σ² = 108.3091

σ² = 108.31      [to 2 decimal places]

<em>(3) To calculate the standard deviation (σ)</em>

The standard deviation is the square root of the variance of the distribution. Calculate this by finding the square root of the result in (2c) above.

σ = √σ²

σ = \sqrt{108.31}

σ = 10.4072

σ = 10.41        [to 2 decimal places]

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