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=0.04360.0436	e. ​ P(minus−z 0z0less than or equals≤zless than or equals≤​0)equals=0.28492849
b. ​ P(minus−z 0z0less than or equals≤zless than or equals≤z 0z0​)equals=0.9090	f. ​ P(minus−33less than<zless than<z 0z0​)equals=0.96009600
c. ​P(minus−z 0z0less than or equals≤zless than or equals≤z 0z0​)equals=0.9595	g. ​P(zgreater than>z 0z0​)equals=0.5
d. ​P(minus−z 0z0less than or equals≤zless than or equals≤z 0z0​)equals=0.82468246	h. ​P(zless than or equals≤z 0z0​)equals=0.0062

Answer 1

Refer Standard normal table or Z-table, Lookup for Z-value corresponding to area 0.0436 to the left of the normal or use excel formula "=NORM.S.INV(0.0436)" to find the Z-value curve.

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Refer Standard normal table or 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 Z-value curve.

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Refer Standard normal table or 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 Z-value curve.

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Refer Standard normal table or Z-table, Lookup for Z-value corresponding to area 0.9123 to the left of the normal curve or use excel formula "=NORM.S.INV(0.9123)" to find the Z-value curve.

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

Refer Z-table, Lookup for Z-value corresponding to area 0.7849 to the left of the normal curve or use excel formula "=NORM.S.INV(0.7849)" to find the Z-value.

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

Refer Z-table, Lookup for Z-value corresponding to area 0.9613 to the left of the normal curve or use excel formula "=NORM.S.INV(0.9613)" to find the Z-value.

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

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Refer Standard normal table or Z-table, Lookup for Z-value corresponding to area 0.0062 to the left of the normal or use excel formula "=NORM.S.INV(0.0062)" to find the Z-value curve.