Respuesta :
Answer:
probability that student passes = 0.7815
Step-by-step explanation:
Given:
Student studies = 85% = 0.85
Student not study = 11% = 0.11
Student who pass = 90% = 0.90
Computation:
P(student not pass) = 1 - 0.85
P(student not pass) = 0.15
probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)
probability that student passes = (0.85)(0.90) + (0.15)(0.11)
probability that student passes = 0.765 + 0.0165
probability that student passes = 0.7815
Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.
The percentages associated with passing the test are given by:
- 90% of 85%(student studies for the test).
- 11% of 15%(student does not study for the test).
Hence, adding these percentages:
[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]
0.7815 x 100% = 78.15%
There is a 0.7815 = 78.15% probability that student passes.
A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993