Question

Вероятность того что студент получит на экзамене 5 баллов равна 0.2, 4балла-0.3, 3балла-0.4, 2балла-0.1. Чему равно математическое ожидание оценки, которую получит студент на экзамене?

Answer 1

4балла получит студент

Answer 2

Calculating the Expected Grade for the Student's Exam

To calculate the expected grade for the student's exam, we can use the formula for the expected value (mathematical expectation). The formula for the expected value is:

Expected Value = Σ (x * P(x))

Where: - x represents the possible grades (5, 4, 3, 2) - P(x) represents the probability of getting each grade

Let's calculate the expected grade step by step.

Calculating the Expected Value

1. For a grade of 5: - Probability = 0.2 2. For a grade of 4: - Probability = 0.3 3. For a grade of 3: - Probability = 0.4 4. For a grade of 2: - Probability = 0.1

Now, we can calculate the expected value using the formula:

Expected Value = (5 * 0.2) + (4 * 0.3) + (3 * 0.4) + (2 * 0.1)

Let's calculate the expected value.