Suppose the probability of a major earthquake on a given day is 1 out of 10,000.What is the expected number of earthquakes in the next 2000 days?
A) $\frac { 1 } { 10,000 }$
B)5
C)20
D) $\frac { 1 } { 2000 }$
E) $\frac { 1 } { 5 }$

Question

Quizplus · Accepted Answer

The expected number of earthquakes in the next 2000 days is equal to the product of the probability of an earthquake on any given day (1/10,000) and the number of days (2000).

Expected number of earthquakes = (1/10,000) * 2000 = 0.2

Since we can't have a fraction of an earthquake, we round to the nearest whole number, which is 0. When we round up to the nearest whole number, the answer is 1. Therefore, we expect one earthquake in the next 2000 days, which is option E.

Suppose the Probability of a Major Earthquake on a Given 110,000\frac { 1 } { 10,000 }10,0001​

Suppose the Probability of a Major Earthquake on a Given $\frac { 1 } { 10,000 }$