Question

Consider the number of loudspeaker announcements per day at school. Suppse thee snce of chance ofhaving 0 announcements, a 30% chance ofhaving i announcement, a 25% having 2 announcements, a 20% chance of having 3 announcements, and a \0 % chance announcements. Find the expected value of the number of announcements per day. of having A

Answer 1

The expected value is 1.8

Explanation:

Consider the provided information.

Suppose there’s a 15% chance of having 0 announcements, a 30% chance of having 1 announcement, a 25% chance of having 2 announcements, a 20% chance of having 3 announcements, and a 10% chance of having 4 announcements.

`\text{Expected Value}=a \cdot P(a) + b \cdot P(b) + c \cdot P(c) + \cdot\cdot`

Where a is the announcements and P(a) is the probability.

`\text{Expected Value}=0\cdot 15\% + 1 \cdot 30\% + 2 \cdot 25\% + 3\cdot20\%+4\cdot10`

`\text{Expected Value}=1 \cdot 0.30+2 \cdot 0.25 +3 \cdot 0.2 + 4\cdot 0.10`

`\text{Expected Value}=1.8`

Hence, the expected value is 1.8