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3 years ago

I need help with 1,2,3 and 4 please

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

I cant see the question 1 sorry:(

2. x=71(base angle, isos. triangle)
3. x=45 (same reason as the above)
4. the third one

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Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl

amm1812

Answer:

1. $P(s_1|I)=\frac{1}{11}$

2. $P(s_2|I)=\frac{8}{11}$

3. $P(s_3|I)=\frac{2}{11}$

Step-by-step explanation:

Given information:

$P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3$

$P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1$

(1)

We need to find the value of P(s₁|I).

$P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}$

$P(s_1|I)=\frac{0.015}{0.165}$

$P(s_1|I)=\frac{1}{11}$

Therefore the value of P(s₁|I) is $\frac{1}{11}$ .

(2)

We need to find the value of P(s₂|I).

$P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}$

$P(s_2|I)=\frac{0.12}{0.165}$

$P(s_2|I)=\frac{8}{11}$

Therefore the value of P(s₂|I) is $\frac{8}{11}$ .

(3)

We need to find the value of P(s₃|I).

$P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}$

$P(s_3|I)=\frac{0.03}{0.165}$

$P(s_3|I)=\frac{2}{11}$

Therefore the value of P(s₃|I) is $\frac{2}{11}$ .

4 0

3 years ago

A patient takes vitamin pills. Each day he must have at least 420 IU of vitamin A, 5 mg of vitamin

vagabundo [1.1K]

Answer:

minimum cost is 70 cents when Greg buys 3 pill type 1, and 2 pills type 2.

Step-by-step explanation:

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3 years ago

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Solve the following system of linear equations algebraically.<br> 3x + y = 5<br> 5x – 4y = -3

Korvikt [17]

3x+y=5 & 5x-4y=-3

3x+5x=8x+y-4y=-3

8x+y-4y=-3

8x+3y=-3

-3 -3

8x=-6

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2 years ago

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How many degrees does a wheel turn in one complete rotation

lara [203]

Answer:

360 degrees

Step-by-step explanation:

If a wheel turns all the way around, or one complete rotation then it is 360 degrees

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3 years ago

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Alberto ran 45 kilometer on Monday. On Tuesday, he runs 910 of the distance he ran on Monday. How far did he run on Tuesday? Ent

Digiron [165]

Answer:

85.95 km

Step-by-step explanation:

Given that,

Alberto ran 45 kilometers on Monday.

On Tuesday, he runs 91% of the distance he ran on Monday.

We need to find how far did he run on Tuesday. It can be given by :

$T=45+45\times \dfrac{91}{100}\\\\=85.95\ km$

So, he run 85.95 km on Tuesday.

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3 years ago