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Suppose 81% of all students taking a beginning programning course fail to get their first program to run on first submission. Consider a group of S such students,where each students success is independent from the other and the chance each student fails on their first try is consistent. (Round answers to three decimal places.) (a) If X is the number of students whose program fails on the first run, then X comes from a binomial distribution with: n- P(X-z)-(:)-(1-p)-. The binomial probability mass function is: Use this function to calculate probabilities. You may verify the outcome of the function using the R command dbinom(x.n.p) (b) What is the probability exactly 4 fail on their first submission? (o) What is the probability 4 or less falil on their first submissions?: Find the PXs) in R using pbinom(x.n.p) (d) what is the probability at least 4 fail on their first submissions? (e) How many students should be expected to fail? py (f) What is the standard deviation? ox
math   Statistics-And-Probability   
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