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2 years ago

PLEASSSEEEE HELLLPPP!!!!!!!!!!!!!!!!!!!! I'M DESPRITE!!!!!!!!!

Mathematics

2 answers:

stiks02 [169]2 years ago

8 0

Answer:

Paul needs to buy 196in of material

Step-by-step explanation:

8 · 24.5

196

Alex_Xolod [135]2 years ago

6 0

Answer:

Paul needs to buy 196in of material.

Step-by-step explanation:

24.5x8=196

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Consider a discrete random variable x with pmf px (1) = c 3 ; px (2) = c 6 ; px (5) = c 3 and 0 otherwise, where c is a positive

PtichkaEL [24]

Looks like the PMF is supposed to be

$\mathbb P(X=x)=\begin{cases}\dfrac c3&\text{for }x\in\{1,5\}\\\\\dfrac c6&\text{for }x=2\\\\0&\text{otherwise}\end{cases}$

which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

$\displaystyle\sum_{x\in\{1,2,5\}}\mathbb P(X=x)=\dfrac c3+\dfrac c6+\dfrac c3=\dfrac{5c}6=1\implies c=\dfrac65$

Next,

$\mathbb P(X>2)=\mathbb P(X=5)=\dfrac c3=\dfrac25$

$\mathbb E(X)=\displaystyle\sum_{x\in\{1,2,5\}}x\,\mathbb P(X=x)=\dfrac c3+\dfrac{2c}6+\dfrac{5c}3=\dfrac{7c}3=\dfrac{14}5$

$\mathbb V(X)=\mathbb E\bigg((X-\mathbb E(X))^2\bigg)=\mathbb E(X^2)-\mathbb E(X)^2$
$\mathbb E(X^2)=\displaystyle\sum_{x\in\{1,2,5\}}x^2\,\mathbb P(X=x)=\dfrac c3+\dfrac{4c}6+\dfrac{25c}3=\dfrac{28c}3=\dfrac{56}5$
$\implies\mathbb V(X)=\dfrac{56}5-\left(\dfrac{14}5\right)^2=\dfrac{84}{25}$

If $Y=X^2+1$ , then $X^2=Y-1\implies X=\sqrt{Y-1}$ , where we take the positive root because we know $X$ can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that $Y$ can take on the values $1^2+1=2$ , $2^2+1=5$ , and $5^2+1=26$ . At these values of $Y$ , we would have the same probability as we did for the respective value of $X$ . That is,

$\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}$

Part (5) is incomplete, so I'll stop here.

8 0

3 years ago

the velocity of a motorcycle increases by acceleration of 2ms-2 and comes 20ms -1 in 5 seconds find the initial velocity of the

KonstantinChe [14]

a = v-u/t

2 = 20 - u / 5

10= 20-u

u = 10 m/s

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3 years ago

HELP!! Complete the ratio table. 13 15 26 _ 45 _ 60 _ 65 75

sladkih [1.3K]

Answer:

30,52,69

Step-by-step explanation:

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2 years ago

What’s the value of x

stiks02 [169]

Answer:

Step-by-step explanation:

Pythagorean theorem:

x² + x² = (9√2)²

2x² = 162

x² = 81

x = 9

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2 years ago

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, -2 and 2?

lutik1710 [3]

Answer:

Step-by-step explanation:

the polynomial function is; (x - i)(x-2)(x+2)

7 0

3 years ago

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