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SetProblems02: Problem 8 (1 point) Suppose a random variable $x$ is best described by a uniform probability distribution with range 0 to 5. Find the value of $a$ that makes the following probability statements true. (a) $P(x \le a) = 0.89$ $a = $ (b) $P(x < a) = 0.98$ $a = $ (c) $P(x \ge a) = 0.29$ $a = $ (d) $P(x > a) = 0.92$ $a = $ (e) $P(2.29 \le x \le a) = 0.11$ $a = $ Note: You can earn partial credit on this problem.

          SetProblems02: Problem 8
(1 point)
Suppose a random variable $x$ is best described by a uniform probability distribution with range 0 to 5.
Find the value of $a$ that makes the following probability statements true.
(a) $P(x \le a) = 0.89$
$a = $
(b) $P(x < a) = 0.98$
$a = $
(c) $P(x \ge a) = 0.29$
$a = $
(d) $P(x > a) = 0.92$
$a = $
(e) $P(2.29 \le x \le a) = 0.11$
$a = $
Note: You can earn partial credit on this problem.
        
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SetProblems02: Problem 8
(1 point)
Suppose a random variable x is best described by a uniform probability distribution with range 0 to 5.
Find the value of a that makes the following probability statements true.
(a) P(x ≤ a) = 0.89
a =
(b) P(x < a) = 0.98
a =
(c) P(x ≥ a) = 0.29
a =
(d) P(x > a) = 0.92
a =
(e) P(2.29 ≤ x ≤ a) = 0.11
a =
Note: You can earn partial credit on this problem.

Added by Richard B.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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SetProblems02: Problem 8 (1 point) Suppose a random variable is best described by a uniform probability distribution with a range of 0 to 5. Find the value of "a" that makes the following probability statements true. (a) P(x < a) = 0.89, a = (b) P(x < a) = 0.98, a = (c) P(x > a) = 0.29, a = (d) P(x > a) = 0.92, a = (e) P(2.29 < x < a) = 0.11, a = Partial credit on this problem.
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00:01 We have f of x is given so here we have to find the value of a so we know that integral f of x dx is always equal to 1 so integral minus infinity to 0 a into e raised to 3x dx plus a plus integral 0 to infinity a into e raised to minus 6x dx is equal to 1 so a into e raised to 3x divided by 3 minus infinity to 0 plus a plus a into e raised to minus 6x divided by minus 6 integral 0 to infinity sorry ranges 0…
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