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(Solved): The lifespan of an X-ray tube used as part of an X-ray imaging machine follows a normal distributio ...
![a. Calculate the probability that a randomly-selected X-ray tube will have a lifespan of:
(i) Less than 3 years
\[
P(X<3)=
\]](https://media.cheggcdn.com/study/e85/e853fb4b-76d0-4af7-a6ca-673f98cacfbf/image)
![(iii) Between 5 and 7 years
\[
P(5<X<7)=
\]
b. What length warranty should be established on the X-ray tube so that no more t](https://media.cheggcdn.com/study/769/76922621-c769-4848-aa7d-2e30e8f1f3da/image)
The lifespan of an X-ray tube used as part of an X-ray imaging machine follows a normal distribution with a mean of \( 6.75 \) years and a standard deviation of \( 1.7 \) years. a. Calculate the probability that a randomly-selected \( X \)-ray tube will have a lifespan of:
a. Calculate the probability that a randomly-selected X-ray tube will have a lifespan of: (i) Less than 3 years \[ P(X<3)= \] (ii) Greater than 9 years \[ P(X>9)= \]
(iii) Between 5 and 7 years \[ P(5