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Suppose a random variable $x$ is best described by a uniform probability distribution with range 0 to 5. Assume $\ 0 \leq a \leq 5.\$ For each of the following probability statements, find the value of $a$ that makes the statement true.

(a) $\ P(x \leq a) = 0.96$

$a =\$

(b) $\ P(x < a) = 0.53$

$a =\$

(c) $\ P(x \geq a) = 0.22$

$a =\$

(d) $\ P(x > a) = 0.72$

$a =\$

(e) $\ P(0.46 \leq x \leq a) = 0.4$

$a =\$

You can earn partial credit on this problem.