ts DETAILS 0/4 Submissions Used MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE se 77% of all students taking a beginning programming course fail to get their first program to run on first submission. Consider a group of 6 such students, where each student' 's is independent from the other and the chance each student fails on their first try is consistent. (Round answers to three decimal places.) X is the number of students whose program fails on the first run, then X comes from a binomial distribution with: P (X = x) = (7 ) P (1-P)" binomial probability mass function is: this function to calculate probabilities. You may verify the outcome of the function using the R command dbinom(x,n,p). What is the probability exactly 5 fail on their first submissions? What is the probability 5 or less fail on their first submissions? Hint: Find the P(XX) in R using phinom(x,n,p). ) What is the probability at least 5 fail on their first submissions? e) How many students should be expected to fail? = f) What is the standard deviation? ox # Show Mv Work (Optional) (2) CamScanner 07-07...pdf|PDF CamScanner 07-07....pdf FOR Twitter Supports.pdf 11:00 AM 111 OF ENG 7/7/2021