For the line segment whose endpoints are A (0, 0) and B (4, 3), find the x coordinate for the point located 2 over 3 the distanc
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We have events:
- a <span>student stays in the school's dormitory
- </span>a <span>student stays with family
- </span><span>a student receives As
and </span> probabilities:
We want to calculate the probability <span>that the student lives in the school dormitory given he </span><span>receives As so it will be </span>
. From the <span>Bayes' theorem we know that:
The only thing we don't know is
, but we can calculate it using the l</span><span>aw of total probability. There will be:
So our probability:
Answer D.
</span>
and </span> probabilities:
We want to calculate the probability <span>that the student lives in the school dormitory given he </span><span>receives As so it will be </span>
The only thing we don't know is
So our probability:
Answer D.
</span>
Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:
The probability of getting a 5 is:
The probability of getting a 4 is:
The probability of getting other numbers (1,2,3) is:
We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
Therefore, the expected winnings for this game are $3.50.