Answer:
The probability that Isaiah will make both penalty kicks is 25%.
Step-by-step explanation:
We are given that Isaiah scores with 50% of his penalty kicks in soccer.
He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks.
The above situation can be represented through binomial distribution;
[tex]P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......[/tex]
where, n = number of trials (samples) taken = 2 penalty kicks
r = number of success = make both penalty kicks
p = probability of success which in our question is probability
that Isaiah scores with his penalty kicks, i.e; p = 50%
Let X = Number of penalty kicks made by Isaiah
So, X ~ Binom(n = 2 , p = 0.50)
Now, Probability that Isaiah will make both penalty kicks is given by = P(X = 2)
P(X = 2) = [tex]\binom{2}{2} \times 0.50^{2} \times (1-0.50)^{2-2}[/tex]
= [tex]1 \times 0.50^{2} \times 0.50^{0}[/tex]
= 0.25 or 25%
Hence, the probability that Isaiah will make both penalty kicks is 25%.
Answer:
The answer is 35%
Step-by-step explanation:
Trust me ive taken this test before.
