Assume that a single switch is used in Plan $1$ to transfer production to the backup line if the first line fails, and this switch is $98$ percent reliable, while reliabilities of the machines remain the same. Recalculate the reliability of Plan $1.$ Compare this reliability with the reliability of Plan $1$ calculated in solving the original problem. How much did reliability of Plan $1$ decrease as a result of a $98$ percent reliable switch?

e$.$ Assume that three switches are used in Plan $2$ to transfer production to the backup machines if the original machines fail, and these switches are all $98$ percent reliable, while reliabilities of the machines remain the same. Recalculate the reliability of Plan $2.$ Compare the reliability of this plan with the reliability of Plan $2$ calculated in solving the original problem. How much did reliability of Plan $2$ decrease?