Solve in R programming language : The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds. (a) What is the expected amount of time that...

Solve in R programming language :

1. The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds.

(a) What is the expected amount of time that it will take to produce a widget.

(b) Find the probability that it takes at least 35 seconds to produce a widget.

(c) Find the probability that it takes no more than 25 seconds to produce a widget.

(d) Find the probability that it takes between 26.1432 and 31.1432 seconds to produce a widget.

Extracted text: | 3. The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds. (a) What is the expected amount of time that it will take to produce a widget. (b) Find the probability that it takes at least 35 seconds to produce a widget. (c) Find the probability that it takes no more than 25 seconds to produce a widget. (d) Find the probability that it takes between 26.1432 and 31.1432 seconds to produce a widget.


Extracted text: | 3. The time that a machine takes to produce a widget is a continuous uniform random variable ranging from 20 to 40 seconds. (a) What is the expected amount of time that it will take to produce a widget. (b) Find the probability that it takes at least 35 seconds to produce a widget. (c) Find the probability that it takes no more than 25 seconds to produce a widget. (d) Find the probability that it takes between 26.1432 and 31.1432 seconds to produce a widget.