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viktelen [127]
3 years ago
13

The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six in

tegers is 108. What is the value of the integer that was removed
Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer: The value of the integer that was removed = 4

Step-by-step explanation:

Sum of <em>n</em> values= Mean x <em>n</em>

Given: n = 7 , Mean = 16

Let x= integer removed.

Sum of remaining 6 integers = 6

\Rightarrow\ x+108 = 16\times7\\\\\Rihghtarrow\ x+108= 112\\\\\Rightarrow\ x=112-108\\\\\Rightarrow\ x= 4

Hence, the value of the integer that was removed = 4

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Answer:

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For mutually exclusive events as A1, A2, A3, etc, Bayes' theorem states:

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P(A|B) is a conditional probability: the likelihood of event A occurring given that B is true.

P(B|A) is a conditional probability: the likelihood of event B occurring given that A is true.

P(A) is the probability that A occurs

P(B) is the probability that B occurs

For this problem:

A1 is the probability that the student knows the answer

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P(B|A₁) means the probability that the answer is correct when he knew the answer

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Replacing everything in the Bayes' theorem you get:

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