Question

Let X denote the number of cousins of a randomly selected student. Explain the difference between StartSet Upper X equals 2 EndSet and Upper P (Upper X equals 2 ).
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
B. (X =4) is the frequency that a student has four cousins, P(X-4) is the relative frequency that a student has for cousins.
C. (X =4) is the probability of the event that the student has four cousins, P-4) is the event that the student has four cousins.
D. (X =4) is the relative frequency that a student has four cousins; P(X 4) is the frequency that a student has four cousins.

Answer 1

Answer:

A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.

Step-by-step explanation:

An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.

An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.

In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.

The probability of X = 2 or 4 is given by P (X=2) or  P (X=4) symbollically.

So A is the best choice.

The relative frequency gives the probability  so choice B,C and D are wrong.