Classify the number 85 in as many groups on the Venn diagram as possible. A) rational B) irrational C) rational, integer D) rati
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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;
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 = <u><em>Number of penalty kicks made by Isaiah</em></u>
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) =
=
= <u>0.25 or 25%</u>
Hence, the probability that Isaiah will make both penalty kicks is 25%.
Our data are:
0.19
0.78
0.96
1.31
2.78
3.16
4.15
4.67
4.85
6.50
7.35
8.01
8.27
12.06
31.75
32.52
33.91
36.71
72.89
From this data we have n=19
Mean is equal to:
We summarize all the values and divide them by the total number of samples.
In another hand we have that Standard Variation is equal to
For this case we take the value of each of our samples, we subtract the average and we square it to that value. We do this with each of the data and in the end we divide them by the total population of the sample (n) minus 1.