Question

A college statistics class has 20 students. The ages of these students are as follows: one student is 16 years old, four are 18, nine are 19, there are 20, two are 21, and one is 30. Let x= age of any student (randomly selected). Find the probability distribution for x.​

Answer 1

Answer:

The Ages Of These Students Are As Follows: 0 Marks One Student Is 16 Years Old, Four Are 18, Nine Are 19, Three Are 20, Two Are 21, ...

Answer 2

Answer:

The probability distribution of a Colledge student age is  

X            P(X)  

16            $\frac{1}{20}$

18             $\frac{4}{20}$

19            $\frac{9}{20}$

 20           $\frac{3}{20}$

 21             $\frac{2}{20}$

  30            $\frac{1}{20}$

Step-by-step explanation:

• Age is used as a random variable for the probability distribution.

• Random Variable: It is a variable whose value is unknown for the given experiment.

Step 1 of 1:

• For the given function X (a, b) = max (a, b) , Sample space of random variable is

• The Random Variable is

• The probability distribution of random Variable is given below

  X        Frequency

  16             1

  18             4

  19             9

  20            3

   21            2

   30           1

• The total number of students is 20.
• The probability distribution of the ages is

X            P(X)  

16            $\frac{1}{20}$

18             $\frac{4}{20}$

19            $\frac{9}{20}$

 20           $\frac{3}{20}$

 21             $\frac{2}{20}$

  30            $\frac{1}{20}$