Answer the following a Find the uniform continuous probabili

Answer the following: a. Find the uniform continuous probability for P(X 543) for U(0, 1,000). (Round your answer to 4 decimal places.) Probability c. Find the uniform continuous probability for P(16 < X < 50) for U(15, 62). (Round your answer to 4 decimal places.) Probability

Solution

a)

A symbol is missing here: P(x ____ 543). I am attaching two possibilities.

Did you mean P(X>543)? If so,:

Note that here,          
          
a = lower fence of the distribution =    0      
b = upper fence of the distribution =    1000      
          
          
Note that P(x>c) = P(c<x<b) = (b-c)/(b-a). Thus, as          
          
c = critical value =    543      
          
Then          
          
P(x>c) =    0.457   [ANSWER]

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If you actually meant P(C<543):

Note that here,          
          
a = lower fence of the distribution =    0      
b = upper fence of the distribution =    1000      
          
Note that P(x<c) = P(a<x<c) = (c-a)/(b-a). Thus, as          
          
c = critical value =    543      
          
Then          
          
P(x<c) =    0.543   [ANSWER]

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c)

Note that here,          
          
a = lower fence of the distribution =    15      
b = upper fence of the distribution =    62      
          
Thus, the area between the said numbers is          
          
c = lower number =    16      
d = higher number =    50      
          
Thus, the probability between these two values is          
          
P = (d - c)/(b - a) =    0.7234   [ANSWER]