select the correct answer from the drop - down menu. a coin is biased to display heads 75% of the time. it…
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
Answer
Explanation:
Step1: Calculate expected number of heads
The probability of getting a head $p = 0.75$ and the number of tosses $n=20$. The expected number of heads is $E(X)=np$. So, $E(X)=20\times0.75 = 15$.
Step2: Analyze improbability
The farther a result is from the expected value, the more improbable it is. Calculate the absolute - value of the difference between each option and the expected value of 15. For 9 heads: $|9 - 15|=6$. For 13 heads: $|13 - 15| = 2$. For 14 heads: $|14 - 15|=1$. For 15 heads: $|15 - 15| = 0$.
Answer:
9