It has recently been discovered that a small number of people have a genetic mutation that gives them latent superpowers, known as the sigma-gene. A laboratory test has been created to help identify people with the sigma- gene, which returns either "positive" (indicating the subject has the sigma-gene) or "negative" (indicating the subject does not have the sigma-gene). The test returns a "true positive" result for 95% of people who do in fact have the sigma-gene. However, the test also returns a "false positive" result for 10% of people who do not have the sigma-gene. Anyone who is suspected of having the sigma-gene must take the test exactly twice. (a) What is the probability that a person who has the sigma-gene receives at least one negative result out of their two tests? (b) Many people on the island of Genosha have taken the test twice. It is discovered that 6% of these people received a positive result for both tests. Based on this information, what proportion of people from the island actually have the sigma-gene? 因回 (c) Jayden lives on Genosha. They took the test twice and received different results. What is the probability that Jayden has the sigma-gene?

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.