The grade distribution for students in the introductory
statistics class at a local community college are
displayed in the table. In this table, A = 4, B = 3, etc. Let
X represent the grade for a randomly selected student.
Which of the following correctly represents the
probability that a randomly selected student has a
grade higher than a C?
Grade
4
3
2
1
0
P(X<2)
O P(
X2)
P(X> 2)
OP(
X2)
Probability 0.43
0.31
0.17
0.05 0.04

The grade distribution for students in the introductory statistics class at a local community college are displayed in the table In this table A 4 B 3 etc Let X class=

Respuesta :

Using the given discrete probability distribution, it is found that the probability that a randomly selected student has a grade higher than a C is given by:

P(X > 2).

What is the discrete probability distribution for the grade?

From the table, it is given by:

  • P(X = F) = P(X = 0) = 0.04.
  • P(X = D) = P(X = 1) = 0.05.
  • P(X = C) = P(X = 2) = 0.17.
  • P(X = B) = P(X = 3) = 0.31.
  • P(X  = A) = P(X = 4) = 0.43.

Grades A and B are greater than C, hence the probability of getting a grade higher than C is given by:

P(X > C) = P(X = A) + P(X = B) = P(X = 3) + P(X = 4) = P(X > 2).

More can be learned about discrete probability distributions at https://brainly.com/question/24855677