A cable is wrapped tightly around a circle having radius 5 centimeters. this same cable is then taken off the circle and 3 more
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Answer:
There is a 21.053% probability that this person made a day visit.
There is a 39.474% probability that this person made a one night visit.
There is a 39.474% probability that this person made a two night visit.
Step-by-step explanation:
We have these following percentages
20% select a day visit
50% select a one-night visit
30% select a two-night visit
40% of the day visitors make a purchase
30% of one night visitors make a purchase
50% of two night visitors make a purchase
The first step to solve this problem is finding the probability that a randomly selected visitor makes a purchase. So:
There is a 38% probability that a randomly selected visitor makes a purchase.
Now, as for the questions, we can formulate them as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
Suppose a visitor is randomly selected and is found to have made a purchase.
How likely is it that this person made a day visit?
What is the probability that this person made a day visit, given that she made a purchase?
P(B) is the probability that the person made a day visit. So
P(A/B) is the probability that the person who made a day visit made a purchase. So
P(A) is the probability that the person made a purchase. So
So
There is a 21.053% probability that this person made a day visit.
How likely is it that this person made a one-night visit?
What is the probability that this person made a one night visit, given that she made a purchase?
P(B) is the probability that the person made a one night visit. So
P(A/B) is the probability that the person who made a one night visit made a purchase. So
P(A) is the probability that the person made a purchase. So
So
There is a 39.474% probability that this person made a one night visit.
How likely is it that this person made a two-night visit?
What is the probability that this person made a two night visit, given that she made a purchase?
P(B) is the probability that the person made a two night visit. So
P(A/B) is the probability that the person who made a two night visit made a purchase. So
P(A) is the probability that the person made a purchase. So
So
There is a 39.474% probability that this person made a two night visit.
Answer:
See below.
Step-by-step explanation:
So we have:
This is an example of the symmetric property<em>. </em>The equation remains true every if you flip them.