The registrar receives a steady stream of registration forms for the three weeks prior to each term. While the office tries to provide easy$-$to$-$comprehend forms with complete instructions, a few forms are completed that are incorrect. Forms are considered incorrectly filled out if any key information is missing. Key information includes the student$$s local or permanent address, a course number or title, program or area of study, etc. When incorrect forms are received by the registrar$$s office they are sent back to the student for correction. This process delays the student$$s registration. While methods, forms, and instructions have been improving, the registrar feels that $5$ percent of the forms are filled out incorrectly. To help continue improving the forms and instructions, he has $10$ forms sampled each day to determine the types of errors being made. This information is shared with a quality improvement team whose members are currently working on improving the existing forms.AssignmentGiven that the process has a fraction nonconforming $($p$)$ of $5$ percent p$=0\mathrm{.}05$ what is the probability that in a sample of $10$ forms, $3$ or fewer will be found with errors?