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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.

A 2-column table with 5 rows. Column 1 is labeled grade with entries 4, 3, 2, 1, 0. Column 2 is labeled probability with entries 0.43, 0.31, 0.17, 0.05, 0.04.

What is the probability that a randomly selected student earned a C or better?

0.17
0.26
0.48
0.91

Answer :

Considering the given discrete distribution, it is found that the probability that a randomly selected student earned a C or better is of 0.91.

What does the discrete probability distribution gives?

It gives the probability of each grade, as follows:

  • P(X = A) = 0.43.
  • P(X = B) = 0.31.
  • P(X = C) = 0.17.
  • P(X = D) = 0.05.
  • P(X = E) = 0.04.

Hence, the probability of a grade of C or better is given by:

[tex]P(X \geq C) = P(X = A) + P(X = B) + P(X = C) = 0.43 + 0.31 + 0.17 = 0.91[/tex]

More can be learned about discrete probability distributions at https://brainly.com/question/24802582

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