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Cerrena [4.2K]
2 years ago
10

X/12+1=x/3-x/4 solve for x

Mathematics
1 answer:
Alchen [17]2 years ago
4 0
-12, i think that is correct
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Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chan
Iteru [2.4K]

Complete Question

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice

a What is the probability that Christine fails the course

b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability

Answer:

a

   P(F) =   0.264

b

P(T | F ) = 0.23636

Step-by-step explanation:

From the question we are told that

The probability that Christine will fail the course if she does not have a tutor is P(F| T') =  0.42

The probability that Christine will fail the course if she has a tutor is P(F| T) =  0.12

The probability that she will find a tutor is P(T) =  0.52

Generally the probability that she will not find a tutor is

P(T') =  1 - 0.52

=> P(T') = 0.48

Generally the probability of failing the course is

P(F) =  P(F \ n  \  T) + P(F \  n  \  T')

=> P(F) =  P(F| T) *  P(T) + P(A | T') *  P(T')

=> P(F) =   0.12 * 0.52 + 0.42* 0.48

=> P(F) =   0.264

Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as

P(T | F ) =  \frac{ P(F | T) * P(T)}{ P(F)}

=> P(T | F ) =  \frac{ 0.12 * 0.52}{ 0.264}

=> P(T | F ) = 0.23636

5 0
3 years ago
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