According to a recent article on the website www.fivethirtyeight.com, 30% of Americans say they’re trying to reduce or eliminate gluten in their diets. Suppose you have 50 volunteers and are interested in the number of them that are trying to reduce or eliminate gluten in their diets. a.) Find the probability that exactly 20 of the volunteers are trying to reduce or eliminate gluten in their diets. Use the formula.
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.
According to a recent article on the website www.fivethirtyeight.com, 30% of Americans
say they’re trying to reduce or eliminate gluten in their diets. Suppose you have 50
volunteers and are interested in the number of them that are trying to reduce or
eliminate gluten in their diets.
a.) Find the probability that exactly 20 of the volunteers are trying to reduce or
eliminate gluten in their diets. Use the formula.
b.) Find the probability that 15 or fewer of the volunteers are trying to reduce or
eliminate gluten in their diets. Use the calculator.
c.) Find the probability that at least 27 of the volunteers are trying to reduce or
eliminate gluten in their diets. Use the calculator.
Step by step
Solved in 2 steps
