A medical supply manufacturer has found that 5% of the syringes are defective. The manufacturer produces 25 of these syringes per minute. Assume that manufacturing problems are independent.
a. Find the probability that every minute, 2 defective syringes are produced. For this section you can use your calculator. Please submit your calculation.
b. Find the probability that every minute, between 1 and 4 defective syringes are produced. For this section you can use your calculator. Please submit your calculation.
c. Use Excel to calculate the probability function and the cumulative probability function of the defective syringes. For this section please snapshot your Excel sheet to the homework file.
d. Based on your calculation in Excel, what is the probability that more than 3 defective syringes are produced per minute?
e. Plot a graph of the probability and cumulative probability functions.