According to the Department of Motor Vehicles (DMV), the entity in charge of providing driving licenses in the United States, it is illegal to drive with a blood alcohol content of 0.08% or more if you are 21 or older. In the DMV’s guidelines to determine when a person is driving under the influence, which can befound at https://www.dmv.ca.gov/portal/dmv/detail/pubs/hdbk/actions_drink, it is indicated that fewer than five percent of the population weighing 100 pounds will exceed the 0.33 alcohol level. Assume this is accurate. If the Highway Patrol stops in a random day 200 unrelated cars where the individual weighs one hundred pounds, on a Friday night, what is the probability that six percent of more individuals stopped exceeds that 0.33 alcohol level?
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.
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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 the Department of Motor Vehicles (DMV), the entity in charge
of providing driving licenses in the United States, it is illegal to drive with a blood alcohol content of 0.08% or more if you are 21 or older. In the DMV’s guidelines to determine when a person is driving under the influence, which can befound at https://www.dmv.ca.gov/portal/dmv/detail/pubs/hdbk/actions_drink, it is indicated that fewer than five percent of the population weighing 100 pounds will exceed the 0.33 alcohol level. Assume this is accurate. If the Highway Patrol stops in a random day 200 unrelated cars where the individual weighs one hundred pounds, on a Friday night, what is the probability that six percent of more individuals stopped exceeds that 0.33 alcohol level?
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