(Solved): Maintaining a constant pipe wall temperature in a pipe wall in some hot-process applications is cri ...

Maintaining a constant pipe wall temperature in a pipe wall in some hot-process applications is critical. A new technique that usilzes bolt-on trace elements to meintain the temperature was presented in the Journat of Heat Transfer (Nov, 2000). Without bolt-on trace elements, the pipe wall temperature of a switch condenser used lo produce plastic has a uniform distribution ranging from $260^{?}$ to $260^{?}\mathrm{F}$. When several boli-on trace elements are attached to the piping, the wall temperature is uniform from $278^{?}$ to $285^{?}\mathrm{F}$. Complete parts a and b. a. Ideally, the plpe wal temperature should range between $281^{?}$ and $284^{?}\mathrm{F}$. What is the probability that the termperature will fall in this ideal range when no bolt-on trace elements are used? When bolt-on trace olements are attached to the pipe? The probability that the temperature will fall in the ideal range (between $281^{?}$ and $284^{?}\mathrm{F}$ ) when no bolt-on trace elements are used is 0.1000 (Type an integer or decimal rounded to four decimal places as needed.) The probability that the temperaure will fall in the ideal range (between $281^{?}$ and $284^{?}F$ ) when bolt-on trace elements are attached to the pipe is 0.4280 (Type an integer or decimal rounded to four decimal places as needed) b. When the temperature is $267^{?}\mathrm{F}$ or lower, the hot liquld plastio hardens (or plates), causing a buildup in the piping. What is the probability of plastic plating when no bolt-on trace elements are used? When bolt-on trace elements are attached to the pipe? The probability of plastic plating when no boll-on trace elements are used is 0.2333 . (Type an integer or decimal rounded to four decimat places as needed.) The probability of plastio plating when bolt-on trace elements are atiached to the pipe is 0 . (Type an integer or decimal rounded to four decimal places as needed.)