Alfie tossed a paper cup in the air 350 times and recorded with side it landed on.

Landed right side up 88

Landed upside down 52

Landed on its side 210

If alfie tosses the paper cup 90 more times what is the expected number of times the cup will land on its side

The expected number of times the cup will land on its side is 54 times

Step-by-step explanation:

The expected number of times the cup will land on its side can be predicted using the data generated from the experiment.

The probability that a cup will land on its side is;

P (A) = number of times it land on the side N (A) / total number of trials N (T)

P (A) = N (A) / N (T) ... 1

Given;

N (A) = 210

N (T) = 350

Substituting the values,

P (A) = 210/350 = 0.6

If alfie tosses the paper cup 90 more times what is the expected number of times the cup will land on its side

From equation 1;

Making N (A) the subject of formula.

N (A) = P (A) * N (T) ... 2

P (A) = 0.6

N (T) = 90

Substituting the values;

N (A) = 0.6*90

N (A) = 54 times