What is jared's favorite six-digit number if the tens digit is his favorite digit, the sum of the hundred thousands digit and th
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Answer:
Step-by-step explanation:
Hi!
Lets define:
C = 1 if candidate is qualified
C = 0 if candidate is not qualified
A = 1 correct answer
A = 0 wrong answer
T = 1 test passed
T = 0 test failed
We know that:
The test consist of 20 questions. The answers are indpendent, then the number of correct answers X has a binomial distribution (conditional on the candidate qualification):
The probability of at least 15 (P(T=1))correct answers is:
We need to calculate the conditional probabiliy P(C=1 |T=1). We use Bayes theorem: