Which of the following choices are binomial random variables?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Sadio randomly chooses a student from his class and asks them if they are left-handed. He stops once he finds the first left-handed person. Let
L
=
L=L, equals the number of students it takes.

(Choice B)
B
Amelia rolls
5
55 fair dice. Let
D
=
D=D, equals the number of dice that show a value greater than
3
33.

(Choice C)
C
Ms. Glover writes the names of her
30
3030 students on individual pieces of paper and randomly selects the names of
5
55 students from a hat. Let
M
=
M=M, equals the mean number of letters in the first names of the students.

Respuesta :

A binomial random variable is one based on a given number of specified

outcomes from a given number of trials.

  • The choice that is a binomial random variable is Choice B; Amelia rolls 5 fair dice. Let D equals the number of dice that show a value greater than 3.

Reasons:

A binomial random variable is the variable that represents the number of

times a specified event occurs in a given number of trials.

From the above definition of the binomial random variable, we have;

The binomial random variable is the option;

Choice B Amelia rolls 5 fair dice. Let D equals the number of dice that show

a value greater than 3, because, of the following;

  • The number of trials are specified as 5
  • The variable which is the event that is being observed, is specified as the number of times when the dice show values greater than 3.

Choice A is a geometric random variable

Choice C is a random variable

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Answer: Amelia rolls 5 fair dice. Let D = the number of dice that show a value greater than 3.

Explanation:

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