I need assistance with this question please and I have provided the data below f

Question

I need assistance with this question please and I have provided the data below for guidance.

The Excel file Call Center Data shows that in a
sample of 70 individuals, 27 had prior call center experience.
If we assume that the probability that any
potential hire will also have experience with a probability
of 27/70, what is the probability that among
10 potential hires, more than half of them will have
experience? Define the parameter(s) for this distribution
based on the data.

Male = 1
Female = 0 Yes = 1
No = 0 Yes = 1
No = 0 Gender Starting Age Prior Call Center Experience College Degree Length of Service (years) 0 18 0 0 7.02 1 18 1 0 3.47 0 19 0 0 2.07 0 19 0 0 1.78 0 19 0 0 4.42 0 19 0 0 3.29 0 19 1 0 3.05 1 19 1 0 0.49 1 19 1 0 0.61 1 19 0 0 3.12 0 20 0 0 2.95 0 20 1 0 2.15 0 20 0 0 4.03 1 20 0 0 3.53 1 20 0 0 2.47 0 21 0 0 2.15 1 21 0 0 3.27 1 21 0 0 1.10 1 21 0 0 1.78 0 22 0 0 1.94 0 22 1 0 2.91 0 23 1 0 3.02 0 23 1 0 2.53 0 23 0 1 1.84 1 23 1 0 2.88 1 23 0 0 2.20 1 23 0 1 1.44 1 24 0 0 2.53 1 24 0 1 1.41 1 24 0 1 1.08 0 25 1 1 0.98 1 25 1 0 0.63 1 25 0 1 1.30 1 25 1 1 2.13 0 26 1 0 2.30 0 26 1 1 2.05 0 26 1 1 2.13 1 26 1 1 2.12 1 26 0 1 2.16 1 27 0 0 2.04 0 28 0 0 1.70 0 28 0 1 2.11 1 29 0 1 1.75 0 30 0 1 2.15 1 30 1 0 2.12 1 30 0 1 0.37 0 31 0 0 1.95 0 31 0 0 1.02 0 31 0 1 1.26 1 31 0 0 1.04 0 32 0 1 1.64 1 32 1 0 1.75 1 32 1 1 1.71 1 33 0 0 1.29 0 34 1 0 1.48 0 34 0 1 1.31 1 34 0 0 1.46 1 34 1 0 1.88 1 36 0 1 1.16 0 39 0 0 1.16 0 39 0 1 1.05 1 39 0 0 0.96 0 40 1 0 1.24 0 40 0 0 0.81 1 41 1 0 0.87 0 43 1 0 0.99 0 43 1 0 0.76 0 45 0 0 0.32 0 47 1 1 0.35 0 50 1 0 0.57

Explanation / Answer

Given that n=10, pi=27/70=0.38, thus, P(X>5)

=1-P(X<=4)

=1-0.6823

=0.3178

here we used,A binomial experiment consists of n trials and results in x successes. If the probability of success on an individual trial is P, then the binomial probability distribution is given by:

b(x; n, P) = nCx * Px * (1 - P)n - x

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