A negative minus a negative is always a positive ;)
The appropriate choice is ...
D. No. Logan should find a square with a perimeter of 64, not an area equal to 64.
The monthly failure rate is q = 5% = 0.05
The monthly pass rate is p = 1 - q = 0.95
We want to determine the probability of 12 passes in 12 consecutive months for a student.
P(12 of 12 successes) = ₁₂C₁₂ p¹² q⁰ = 0.95¹² = 0.5404.
Therefore if we have 100 students, the number that gets through 12 consecutive months is
100*005404 = 54 students.
Answer: 54 students are left after 12 months.
Answer:
This question has been solved in the attachment I added to the answer. Please try to follow the calculations. If you have any questions you can drop it on the comment section.
a. How long do you expect the key operation to take?
The operation would take 10 minutes
b. What is the probability the key operation will take less than 24 hours
= 0.909285 or 0.909
c. What is the probability the key operation will take at least 5 hours?
= 0.606
d. What is the probability the key operation will take at least an additional 5 hours given the construction works have already worked for 10 hours?
0.6065
e. What do you notice about your answers to part c and part d?
Part c an d have the same values.