Tay-Sachs couples. Approximately 1 in 28 people of Ashkenazi Jewish descent are Tay-Sachs carriers. Researchers randomly sampled one man and one woman from this population. Hint: the selected man and woman, their results/status are independent.  Question 2. what is the probability neither is a Tay-Sachs carrier? Hint: Pr(man is NOT Try-Sachs carrier AND woman is NOT Try-Sachs carrier)=Pr(man is NOT Try-Sachs carrier) X Pr(woman is NOT Try-Sachs carrier). What is the probability both are carriers?

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A:

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A: It is given that, In an identical and independent experiment,  the probability of success is p= 0.8…

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Q: What is the probability that at most 4 out of 5 selected offspring will have two recessive genes

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A: If a die is rolled twice, then the sample space is S=i, j: i=1, 2, 3,..., 6; j=1, 2, 3,..., 6. The…

Q: 15)   Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun…

A: Given,

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A: 3.

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A: Given that test to determine whether a certain antibody is present is 99.8​% effective

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A: We have  Statistic: The function of sample.  i.e a random variable which depends on the sample

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Q: A company recruits 750 men under the age of 55. Suppose that 35% carry a marker on the male…

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A: given data, On a very hot summer day, 5% of the production employees at Midland States Steel are…

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Q: A 2015 study conducted by the National Center for Health Statistics found that 5151​% of U.S.…

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.