Question

​If Alfie tosses the paper cup more times, what is the expected ​number of times that the cup will land on its side?

Answer 1

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

     Right side up = 60         Upside down = 53             Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

 

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

$Right = 60$

$Upside\ down = 53$

$Side = 37$

Required

First, we calculate the probability of landing on side

$P(Side) = \frac{n(Side)}{Total}$

$P(Side) = \frac{37}{150}$

$P(Side) = 0.247$

Next, we calculate the expected value; E(x) using:

$E(x) = n * P(x)$

When tossed 100  more times:

n = 100 and P(x) = P(Side) = 0.247

So:

$E(x) = 100 * 0.247$

$E(x) = 24.7$

$E(x) = 25$ --- approximated

Hence, it is expected that it will land on its side 25 times