Question

Find the following probabilities based on the standard normal
variable *Z*. **(You may find it useful to reference
the** z table**.** **Leave no cells blank
- be certain to enter "0" wherever required. Round your answers to
4 decimal places.)**

a. | P(−1.01 ≤ Z ≤ −0.71) | |

b. | P(0.01 ≤ Z ≤ 2.45) | |

c. | P(−1.38 ≤ Z ≤ 0.06) | |

d. | P(Z > 3.2) |

Answer #1

*I'm having trouble with d.
Find the following probabilities based on the standard normal
variable Z. (You may find it useful to reference
the z table. Leave no cells blank
- be certain to enter "0" wherever required. Round your answers to
4 decimal places.)
a. P(-0.9 ≤ Z ≤ -0.44)
b. P(0.03 ≤ Z ≤1.5)
c. P(1.46 ≤ Z ≤ 0.05)
d. P(Z > 4)

Find the following z values for the standard normal variable Z.
(You may find it useful to reference the z table. Negative values
should be indicated by a minus sign. Round your answers to 3
decimal places.)
a. P(Z ≤ z) = 0.1065
b. P(z ≤ Z ≤ 0) = 0.1746
c. P(Z > z ) = 0.9412
d. P(0.4 ≤ Z ≤ z) = 0.3177

Find the following z values for the standard normal variable Z.
(You may find it useful to reference the z table. Negative values
should be indicated by a minus sign. Round your answers to 2
decimal places.)
a. P(Z ≤ z) = 0.9478
b. P(Z > z) = 0.6321
c. P(-z ≤ Z ≤ z ) = 0.88
d. P( 0 ≤ Z ≤ z) = 0.3232
Please show work, thank you.

Find the following z values for the standard normal
variable Z. (You may find it
useful to reference the
z table.Negative values should be
indicated by a minus sign. Round your answers to 3 decimal
places.)
a.
P(Z ≤ z)
= 0.1022
b.
P(z ≤ Z ≤
0) = 0.1641
c.
P(Z > z ) = 0.9719
d.
P(0.29 ≤ Z ≤ z) = 0.3777

Find the following probabilities based on the standard normal
variable Z.
1. a.P(−0.9 ≤ Z ≤ −0.59)b.P(0.04 ≤ Z ≤ 1.72)c.P(−1.4 ≤ Z ≤
0.06)d.P(Z > 3.6)

Find the following probabilities based on the standard normal
variable Z. (Use Excel to get the
probabilities. Round your answers to 4 decimal
places.)
a.
P(Z > 1.12)
b.
P(Z ≤ −2.35)
c.
P(0 ≤ Z ≤ 1.34)
d.
P(−0.8 ≤ Z ≤ 2.44)

Find the probabilities associated with the standard normal
random variable Z:
a) P (Z> 2.54)
b) P (-3.2 <Z <3.2)
c) P (Z <1.94)
d) P (Z> 2.88)
e) P (Z> 3.15)

Find the following probabilities for the standard normal random
variable z. (Round your answers to four decimal
places.)
(a) P(?1.41 < z < 0.61) =
(b) P(0.55 < z < 1.78) =
(c) P(?1.54 < z < ?0.44) =
(d) P(z > 1.32) =
(e) P(z < ?4.31) =
You may need to use the appropriate appendix table or technology to
answer this question.

Find the following probabilities based on the standard normal
variable Z.
a.P(Z > 1.12) ____
b.P(Z ≤ −2.35) _____
c.P(0 ≤ Z ≤ 1.34) ______
d.P(−0.8 ≤ Z ≤ 2.44) ______

Let Z be a standard normal random variable and
calculate the following probabilities, drawing pictures wherever
appropriate. (Round your answers to four decimal
places.)
(e) P(Z ≤ 1.43)
(h) P(1.43 ≤ Z ≤
2.50)

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