How to do this problem
1 answer:
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Answer:
0.5969 = 59.69% probability that it was a flight of airline A
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Left on time.
Event B: From airline A.
Probability of a flight leaving on time:
81% of 48%(airline A).
61% of 26%(airline B)
40% of 26%(airline C). So
Probability of leaving on time and being from airline A:
81% of 48%. So
What is the probability that it was a flight of airline A?
0.5969 = 59.69% probability that it was a flight of airline A
Answer:
Initial principal -$300,000
Investment amount after yr 3-$390,000
Final investment amount, after 6 yrs-$519,090
Step-by-step explanation:
Let X be the amount initially invested.
#The amount after 3 yrs of simple interest is calculated as:
#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:
Hence, the amount initially invested as $300,000
#Amount of invested after 6 yrs is therefore:
Hence, the total amount of the investment after 6 yrs is $519,090
#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:
Hence, the total amount of the investment after first 3 yrs is $390,000