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steposvetlana [31]
3 years ago
7

An event a will occur with probability 0.5. an event b will occur with probability 0.6. the probability that both a and b will o

ccur is 0.1. the conditional probability of b, given a, is
Mathematics
1 answer:
KatRina [158]3 years ago
8 0
<span>Conditional probability of b given a is given by dividing Probability of event b with the probability of both a and b occurring together. Hence in this case, conditional probability of b given a is 0.1 divided by 0.6. On division, the result that is obtained is 0.16.</span>
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If a ∝ b and a = 18 when b = 3, then find a when b = 5.
Elden [556K]

"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb

We're given that a = 18 and b = 3, so that

18 = 3k   ⇒   k = 6

Then when b = 5, we would have

a = 6 × 5 = 30

4 0
2 years ago
A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w
mart [117]

Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47​% of the popular vote and and candidate B would receive 44​% of the popular vote.

The margin of error was reported to be 3​%

So we are given two proportions;

A = 47%

B = 44%

Margin of Error = 3%

The margin of error shows by how many percentage points the  results can deviate from the real proportion.

Case I:

A = 47% + 3% = 50%

B = 44% - 3% = 41%

Candidate A wins

Case II:

A = 47% - 3% = 44%

B = 44% + 3% = 47%

Candidate B wins

As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

5 0
3 years ago
How do you do #5 a b c
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B i think the answer is for #5
4 0
3 years ago
What is the value of x in the equation 4 and StartFraction 3 Over 10 EndFraction minus (2 and two-fifths x + 5 and one-half) = o
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Step-by-step explanation:

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3 0
3 years ago
Lily spent 1/6 of her free time practicing soccer and 3 of her
melomori [17]

Answer:

She spent 4/6 of her free time.

Step-by-step explanation:

1/6 + 3/6 = 4/6

4 0
4 years ago
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