Gianna was out at a restaurant for dinner when the bill came. Her dinner came to

Mathematics

1 answer:

nikitadnepr [17]2 years ago

4 0

Answer:

12 percent

Step-by-step explanation:

The tip is 24.64 - 22 = 2.64

2.64 / 22 = 0.12

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An old house in Pomona, CA is inhabited by a variety of ghosts. Ghost appearances occur in the house according to a Poisson proc

shutvik [7]

Answer:

The probability is 0.503

Step-by-step explanation:

If the ghost appearances occur in the house according to a Poisson process with mean m, the time between appearances follows a exponential distribution with mean 1/m. so, the probability that the next ghost appearance happens before x hours is equal to:

$P(X\leq x)=1-e^{-xm}$

Then, replacing m by 1.4 ghosts per hour we get:

$P(X\leq x)=1-e^{-1.4x}$

Additionally, The exponential distribution have a memoryless property, so if it is now 1:00 p.m. and we want the probability that ghost appear before 1:30 p.m., we need to find the difference in hours from 1:00 p.m and 1:30 p.m. no matter that the last ghost appearance was at 12:35 p.m.

Therefore, there are 0.5 hours between 1:00 p.m. and 1:30 p.m, so the probability that the 7th ghost will appear before 1:30 p.m is calculated as:

$P(x\leq 0.5)=1-e^{-1.4*0.5} =0.503$