The College Board reports that 2% of the 2 million highschool students who take the SAT each year receivespecial accommodations because of documented disabilities(Los Angeles Times, July 16, 2002). Considera random sample of 25 students who have recentlytaken the test.a. What is the probability that exactly 1 received a specialaccommodation?b. What is the probability that at least 1 received a specialaccommodation?c. What is the probability that at least 2 received a specialaccommodation?d. What is the probability that the number among the 25who received a special accommodation is within 2standard deviations of the number you would expectto be accommodated?e. Suppose that a student who does not receive a specialaccommodation is allowed 3 hours for the exam,whereas an accommodated student is allowed4.5 hours. What would you expect the average timeallowed the 25 selected students to be?
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.
The College Board reports that 2% of the 2 million high
school students who take the SAT each year receive
special accommodations because of documented disabilities
(Los Angeles Times, July 16, 2002). Consider
a random sample of 25 students who have recently
taken the test.
a. What is the
accommodation?
b. What is the probability that at least 1 received a special
accommodation?
c. What is the probability that at least 2 received a special
accommodation?
d. What is the probability that the number among the 25
who received a special accommodation is within 2
standard deviations of the number you would expect
to be accommodated?
e. Suppose that a student who does not receive a special
accommodation is allowed 3 hours for the exam,
whereas an accommodated student is allowed
4.5 hours. What would you expect the average time
allowed the 25 selected students to be?
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