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Bayes’ theorem questions with solutions are given here for students to practice and understand how to apply Bayes’ theorem as a special case for conditional probability. These questions are specifically designed as per the CBSE class 12 syllabus.
We use Bayes’s formula. P(M jR) = P(R jM)P(M) (P(R jM)P(M) + P(R jF)P(F)) = 0:95 0:10 (0:95 0:10 + 0:08 0:90) ’0:57: Which is nowhere close to 95% of P(R|M). Exercise 2. In a study, physicians were asked what the odds of breast cancer would be in a woman who was initially thought to have a 1% risk of cancer but who ended up with a
Probability and Statistics Questions and Answers – Baye’s Theorem. This set of Probability and Statistics Multiple Choice Questions & Answers (MCQs) focuses on “Baye’s Theorem”. 1. Three companies A, B and C supply 25%, 35% and 40% of the notebooks to a school.
Jun 20, 2024 · Practice Questions on Bayes’ Theorem With Solutions. Let's solve a few questions to better understand Bayes’ theorem. Question 1: Three individuals A, B, and C have applied for a job at a private firm. Their chances of selection are in the ratio 1:2:4.
Suppose a test is 95% accurate, and the disease affects 1% of the population. If a person tests positive, Bayes' Theorem helps calculate the probability they actually have the disease by considering both the test accuracy and the disease's prevalence.
Then, use Baye's Theorem: $$\displaystyle{\frac{(1/3)(0.75)^3}{(2/3)(1/2)^3+(1/3)(0.75)^3} \doteq 0.6279}$$ Suppose $P(A), P(\overline{A}), P(B|A)$, and $P(B|\overline{A})$ are known. Find an expression for $P(A|B)$ in terms of these four probabilities.
SLHLBoth. Question 1. HLPaper 1. CompleteSaveAnswer. A medical test for a certain disease has a 98% sensitivity and a 95% specificity. The prevalence of the disease in the population is 1%. 1. Calculate the probability that a person selected at random from the population tests positive for the disease. Grade with AI.
