slader The final exam of a discrete mathematics course consists of 50 true/false questions, each worth two points, and 25 multiple-choice questions, each worth four points. The probability that Linda answers a true/false question correctly is 0.9, and the probability that she answers a multiple-choice question correctly is 0.8. What is her expected score on the final?

Respuesta :

Answer:

170

Step-by-step explanation:

According to the given information,

Number of true/false questions = 50

Number of multiple-choice questions = 25

Worth of each true/false question = 2

Worth of each multiple-choice question = 4

Using this information we get

Total marks of true/false questions = 50 × 2 = 100

Total marks of multiple-choice questions = 25 × 4 = 100

It is given that Linda answers a true/false question correctly is 0.9, and the probability that she answers a multiple-choice question correctly is 0.8.

Expected marks of true/false questions = 100 × 0.9 = 90

Expected marks of multiple-choice questions = 100 × 0.8 = 80

Slader expected score on the final is

Expected score = 90+80=170

Therefore, the expected score on the final is 170.