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3 years ago

The circle graph shows the percent of the 300 votes each candidate received in the

Mathematics

1 answer:

adell [148]3 years ago

6 0

Answer: 126.

Here is an example of my work, just add your prefered numbers and boom, 126.

Also, mine was 200 instead of 300 and I got 84. So just plug in your number and boom.

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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

Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5

goblinko [34]

Answer:

Step-by-step explanation:

£100

1:3

1+3=4

1/4×£100

=£25

3/4×£100

=£75

£80

3:5

3+5=8

3/8×£80

=£30

5/8×£80

=£50

£250

2:3:5

2+3+5=10

2/10×£250

=£50

3/10×£250

=£75

5/10×£250

=£125

6 0

3 years ago

Much appriciated if helping

Goryan [66]

Answer:

i think it is 3

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Select all ratios equivalent to 4:3.

valentina_108 [34]

Answer:

8:6 and 16:12

Step-by-step explanation:

5 0

3 years ago

The cost of Matt and Natalie's dinner was $27.35. They want to leave a 20% tip. Which of the following is the closest to the amo

Ksenya-84 [330]

Answer:

Option D is correct.

Step-by-step explanation:

27.35 x 20/100

=> 2.735 x 2/1

=> $5.47

=> $5.50 (Rounded)

Therefore, Option D is correct.

Hoped this helped.

8 0

2 years ago