Values are uniformly distributed between 171 and 241. *(Round your answers to 3 decimal places, e.g. 0.253.) **(Round your answer to 1 decimal place, e.g. 1.2.) (a) What is the value of f(x) for this distribution? (b) Determine the mean of this distribution: (c) Determine the standard deviation of this distribution: (d) Probability of (x > 231) = (e) Probability of (180≤x≤219) = (f) Probability of (x ≤ 191) = :

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How do you find the answers for the questions on this picture using uniform distributed please answer d,e,f the first 3 where already answered thanks.
Values are uniformly distributed between 171 and 241.

*(Round your answers to 3 decimal places, e.g. 0.253.)  
**(Round your answer to 1 decimal place, e.g. 1.2.)

(a) What is the value of f(x) for this distribution?  
\[ \text{__________} \] *

(b) Determine the mean of this distribution:  
\[ \text{__________} \] **

(c) Determine the standard deviation of this distribution:  
\[ \text{__________} \] **

(d) Probability of \( x > 231 \)  
\[ = \text{__________} \] *

(e) Probability of \( 180 \leq x \leq 219 \)  
\[ = \text{__________} \] *

(f) Probability of \( x \leq 191 \)  
\[ = \text{__________} \] *

Note: Uniform distribution means every value between 171 and 241 is equally likely.
Transcribed Image Text:Values are uniformly distributed between 171 and 241. *(Round your answers to 3 decimal places, e.g. 0.253.) **(Round your answer to 1 decimal place, e.g. 1.2.) (a) What is the value of f(x) for this distribution? \[ \text{__________} \] * (b) Determine the mean of this distribution: \[ \text{__________} \] ** (c) Determine the standard deviation of this distribution: \[ \text{__________} \] ** (d) Probability of \( x > 231 \) \[ = \text{__________} \] * (e) Probability of \( 180 \leq x \leq 219 \) \[ = \text{__________} \] * (f) Probability of \( x \leq 191 \) \[ = \text{__________} \] * Note: Uniform distribution means every value between 171 and 241 is equally likely.
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