Question

Find a value of the standard normal random variable z ​, call it

z 0z0​,

such that the following probabilities are satisfied.

a. ​ P(zless than or equals≤z 0z0​)equals=0.09730.0973	e. ​ P(minus−z 0z0less than or equals≤zless than or equals≤​0)equals=0.25792579
b. ​ P(minus−z 0z0less than or equals≤zless than or equals≤z 0z0​)equals=0.9595	f. ​ P(minus−33less than<zless than<z 0z0​)equals=0.95759575
c. ​P(minus−z 0z0less than or equals≤zless than or equals≤z 0z0​)equals=0.9090	g. ​P(zgreater than>z 0z0​)equals=0.5
d. ​P(minus−z 0z0less than or equals≤zless than or equals≤z 0z0​)equals=0.82148214	h. ​P(zless than or equals≤z 0z0​)equals=0.00310.0031

a.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)b.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)c.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)d.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)e.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)f.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)g.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)h.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)

Answer 1

From Z-table, Lookup for Z-value corresponding to area 0.0973 to the left of the normal curve or use excel formula " =NORM.S.INV(0.0975) " to find the probability.

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From Z-table, Lookup for Z-value corresponding to area 0.975 to the left of the normal curve or use excel formula " =NORM.S.INV(0.975) " to find the probability.

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From Z-table, Lookup for Z-value corresponding to area 0.95 to the left of the normal curve or use excel formula " =NORM.S.INV(0.95) " to find the probability.

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From Z-table, Lookup for Z-value corresponding to area 0.9107 to the left of the normal curve or use excel formula " =NORM.S.INV(0.9107) " to find the probability.

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Refer Z-table to find the probability or use excel formula " NORM.S.DIST(0, TRUE) " to find the probability.

From Z-table, Lookup for Z-value corresponding to area 0.7579 to the left of the normal curve or use excel formula " =NORM.S.INV(0.7579) " to find the probability.

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Refer Z-table to find the probability or use excel formula " NORM.S.DIST(-3, TRUE) " to find the probability.

From Z-table, Lookup for Z-value corresponding to area 0.9588 to the left of the normal curve or use excel formula " =NORM.S.INV(0.9588) " to find the probability.

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From Z-table, Lookup for Z-value corresponding to area 0.5 to the right of the normal curve or use excel formula " =NORM.S.INV(0.5) " to find the probability.

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From Z-table, Lookup for Z-value corresponding to area 0.0031 to the left of the normal curve or use excel formula " =NORM.S.INV(0.0031) " to find the probability.