Question

select the correct answer from the drop - down menu.
a coin is biased to display heads 75% of the time. it is tossed 20 times, and the outcomes are recorded. the most improbable simulation for this coin is heads.
9
13
14
15

Explanation:

Step1: Calculate expected number of heads

The coin is tossed \(n = 20\) times. The probability of getting heads \(p=0.75\). The expected number of heads is \(E(X)=np\).

$$E(X)=20\times0.75 = 15$$

Step2: Analyze deviation from the mean

The closer the number of heads is to the expected value \(15\), the more probable the simulation. The number \(9\) has the largest deviation from \(15\) (\(\vert15 - 9\vert=6\)), while \(\vert15-13\vert = 2\), \(\vert15 - 14\vert=1\) and \(\vert15-15\vert = 0\)

Answer:

9