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Fudgin [204]
3 years ago
13

(a) Fill in the tavle below to complete the proability distrubution of X

Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:

2.6

Step-by-step explanation:

Given :

x 1 2 3 4

P(x) 0.3 0.2 ? 0.4

Σp(x) = 1

Hence, 0.3 + 0.2 +? + 0.4 = 1

0.9 +? = 1

? = 1 - 0.9

? = 0.1

For the mean :

E(X) = ΣX*P(X)

(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)

0.3 + 0.4 + 0.3 + 1.6 = 2.6

Hence, the mean = 2.6

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Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)
iris [78.8K]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (1, 6) and the slope m = 7/3. Substitute:

y-6=\dfrac{7}{3}(x-1)      <em>use distributive property</em>

y-6=\dfrac{7}{3}x-\dfrac{7}{3}          <em>add 6 to both sides</em>

y=\dfrac{7}{3}x+\dfrac{11}{3}        <em>multiply both sides by 3</em>

3y=7x+11           <em>subtract 7x from both sides</em>

-7x+3y=11         <em>change the signs</em>

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Answer:

point-slope form: y-6=\dfrac{7}{3}(x-1)

slope-intercept form: y=\dfrac{7}{3}x+\dfrac{11}{3}

standard form: 7x-3y=-11

5 0
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