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patriot [66]
2 years ago
6

For two events, M and N, P(M)=0.7, P(N|M)=0.3, and P(M'|N')

Mathematics
1 answer:
dexar [7]2 years ago
5 0
Topic:C<span>onditional Probability

</span>For any two events A and B, where P(B) ≠ 0, P( A | B ) = P( A ∩ B ) / P( B ) = P( B | A) * P(A) / P(B)..i.e..{the probability of A given B is equal to the probability of A and B divided by the probability of B}

<span>For a set of events A1, A2, A3, ... , An,
</span>hence,
P(B) 
<span>= P(B and A1) + P(B and A2) + ... + P(B and An) </span>
= P(B | A1) * P(A1) + P(B | A2) * P(A2) + ... + P(B | An) * P(An)

P(M | N) 
<span>= P(N | M) * P(M) / P(N) </span>
<span>= P(N | M) * P(M) / (P(N | M) * P(M) + P(N | M') * (1 - P(M))) 
</span><span>Substitute Values.... you get ?

</span>
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Lf oil costs $95 per barrel and $1 =R8. How much does a barrel cost in rands?.​
Elan Coil [88]

Answer:

R760

Step-by-step explanation:

If $1 is equivalent to R8 and the total oil costs $95 you must multiply 8x95. This leaves you with an answer of R760

7 0
2 years ago
Please help 70 Brainly points thanks
Cloud [144]

Answer:

9) x=58

10) r=4

11) m=4

12) p=3

13) x=6

14) x=-3

15) s=400

Step-by-step explanation:

9) x+2/5=12

    x5  x5

x+2=60

 -2  -2

x=58

10) 7r + 14 - 3r =30

    -14         -14

<u>7r-3r</u>=16

4r=16

÷4 ÷4

r=4

11) \frac{4}{5}m+2=6

    -2  -2

\frac{4}{5}m=4

÷\frac{4}{5}  ÷\frac{4}{5}

m=4

12) <u>2</u>(5p+9)=48

10p+18=48

     -18  -18

10p=30

÷10  ÷10

p=3

13) <u>5</u>(2x-8)=20

10x-40=20

    +40 +40

10x=60

÷10  ÷10

x=6

14)<u>6</u>(3-2x)=54

18-12x=54

-18       -18

-12x=36

÷-12  ÷-12

x=-3

15) \frac{2s}{5}-\frac{s}{2}=40

x5   x5

2s-\frac{s}{2}=200

    x2 x2

<u>2s-1s</u>=400

1s=400

÷1  ÷1

s=400

6 0
3 years ago
Read 2 more answers
Mimi recorded a soccer game that lasted 1
lyudmila [28]

9514 1404 393

Answer:

  7 hours

Step-by-step explanation:

4 × (1 3/4) = 4×1 + 4×3/4 = 4 + 3 = 7

Mimi spent 7 hours watching the game.

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2 years ago
A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the b
Pachacha [2.7K]

Answer:

40 gallons

Step-by-step explanation:

Let the number of gallons that would completely fill the bathtub be represented by N.

Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;

30% of N = 12

\frac{30}{100} x N = 12

30N = 12 x 100

30N = 1200

divide both sides by 30,

N = \frac{1200}{30}

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The number of gallons that would completely fill the bathtub is 40 gallons.

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Find the approximate side length of a square game board with an area of 194 in2.
Mazyrski [523]

Answer:

root 194=13.928 inches

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