Calculate ​P(2.5≤x≤4​). b. Determine ​P(x<3​). c. Compute the​ mean, μ​, and the standard​ deviation, σ​, of this random variable.

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Suppose a random​ variable, x, has a uniform distribution with a=1 and b=5.
 
a. Calculate ​P(2.5≤x≤4​).
b. Determine ​P(x<3​).
c. Compute the​ mean, μ​, and the standard​ deviation, σ​, of this random variable.
d. Determine the probability that x is in the interval
​(μ±3σ​).
 
​(Simplify your��� answer.)
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