Question

Determine the values of the variables in the binomial probability formula for the following statement: What is the probability of getting exactly 5 “heads” in 10 coin flips? n = p = k =

Answer 1

n=10

p=0.5

k=5

n represents = number of trials

p represents = probability of success

k represents = number of successes

Answer 2

k = 5

n = 10

p = 0.5

Explanation:

Let X be a discrete random variable. The binomial probability formula is used to calculate the probability of obtaining k-successes in "n" independent trials for an experiment with probability of success p and probability of failure q.

The binomial formula is the following:

`P(X=k) = (n!)/(k!(n-k)!)p^kq^(n-k)`

Where:

k = number of successes

n = number of trials

p = probability of success

q = probability of failure.

So, for the given problem

k = 5 Because you want to get the probability of getting 5 "heads"

n = 10 Because the experiment is repeated 10 times

p = 0.5 Because the probability of obtaining a "heads" when flipping a coin is 50%

q = 0.5