1. Building traveler loyalty is a key strategic factor for a popular vacation rental platform. Several factors can deter repeat bookings, one of which is cancellation by the owner of the property. The data science team observes that 35% of travelers who have not had a reservation cancelled by an owner return to the site for repeat bookings. Travelers with a reservation that WAS cancelled by an owner repeat book at a 20% rate. If owners cancel 8% of the time, what is the overall repeat booking rate? 2. The data science team also seeks to understand the impact on customer loyalty with respect toanother type of cancellation: traveler cancellations. The repeat booking rate for owner cancellations is 20%;for traveler cancellations, 28%; and no cancellation, 36%. If the overall repeat booking rate is 34%, and theprobability of an owner cancellation is 8%, what is the probability of a traveler cancellation?

1. The overall repeat booking rate is 34.72%.

2. The probability of a traveler cancellation is 0.09 = 9%.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

Question 1:

36% of 100 - 8 = 92%(not canceled)

20% of 8%(canceled). So

The overall repeat booking rate is 34.72%.

Question 2:

We have that 34% is the sum of:

20% of 8%(repeat cancellation when the owner cancels).

28% of x(traveler cancelations).

36% of (100 - (8+x))%(no cancellation). So

The probability of a traveler cancellation is 0.09 = 9%.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

this is answer of 144 cubic meters