Respuesta :
Answer:
The best prediction possible for the number of times both coins will land on heads is 16.
Step-by-step explanation:
For each time the two coins are flipped, there are only two possible outcomes. Either they both land on heads, or they not. Coin flips are independent, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
On a trial, probability of two heads.
Each trial has two coins, each with 0.5 probability of landing on heads. So the probability of two heads on a trial is:
[tex]p = (0.5)^2 = 0.25[/tex]
64 times
This means that [tex]n = 64[/tex]
What is the best prediction possible for the number of times both coins will land on heads?
The expected value. So
[tex]E(X) = np = 64*0.25 = 16[/tex]
The best prediction possible for the number of times both coins will land on heads is 16.
