Question

Let *X* be normally distributed with mean *μ* =
4.1 and standard deviation *σ* = 2. **[You may find it
useful to reference the** z table**.]**

**a.** Find *P*(*X* > 6.5).
**(Round " z" value to 2 decimal places and final
answer to 4 decimal places.)**

**b.** Find *P*(5.5 *≤ X ≤* 7.5).
**(Round " z" value to 2 decimal places and final
answer to 4 decimal places.)**

**c.** Find *x* such that *P*(*X
>* *x*) = 0.0594. **(Round " z" value
and final answer to 3 decimal places.)**

**d.** Find *x* such that *P*(*x*
≤ *X* ≤ 4.1) = 0.4719. **(Negative value should be
indicated by a minus sign. Round " z" value and final
answer to 3 decimal places.)**

Answer #1

Here

a)

Required probability =

b)

Required probability =

c)

We wan to find 'x' such that P(X>x) = 0.0594

d)

We wan to find 'x' such that

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a. Find P(X > 6.5). (Round "z" value to 2 decimal places and
final answer to 4 decimal places.)
b. Find P(5.5 ≤ X ≤ 7.5). (Round "z" value to 2 decimal places
and final answer to 4 decimal places.)
c. Find x such that P(X > x) = 0.0594. (Round "z" value and...

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a. Find P(X > 6.5).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
b.
Find P(5.5 ≤ X ≤ 7.5). (Round
"z" value to 2 decimal places and final answer to 4
decimal places.)
c. Find x such that P(X
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a. Find P(X > 6.5).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
b. Find P(5.5 ≤ X ≤ 7.5).
(Round "z" value to 2 decimal places and final
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a. Find P(X > 6.5). (Round "z" value to 2 decimal places and
final answer to 4 decimal places.)
b. Find P(5.5 ≤ X ≤ 7.5). (Round "z" value to 2 decimal places
and final answer to 4 decimal places.)
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(Round "z" value to 2 decimal places and final answer to 4 decimal
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a. Find P(X > 6.5). (Round
"z" value to 2 decimal places and
final answer to 4 decimal places.)
b. Find P(5.5 ≤ X ≤ 7.5). (Round
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final answer to 4 decimal places.)
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(Round "z" value to 2 decimal places and final
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(Round "z" value to 2 decimal places and final...

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it useful to reference the z
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(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
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(Round "z" value to 2 decimal places and final
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(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
b. Find P(95 ≤ X ≤ 110).
(Round "z" value to 2 decimal places and final
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(Round "z" value to 2 decimal places and final
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b. Find P(95 ≤ X ≤ 110).
(Round "z" value to 2 decimal places and final
answer to 4 decimal places.)
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