Find the area under the standard normal curve. Round your answer
to four decimal places.
(a) Find the area under the standard normal curve to the left of
=z−2.45.
(b) Find the area under the standard normal curve to the right
of =z−0.78.
(c) Find the area under the standard normal curve that lies
between =z−2.39 and =z−1.27.
(d) Find the area under the standard normal curve that lies
outside the interval between =z−1.42 and =z1.78.
Find the area under the standard normal curve. Round your answer
to four decimal places.
(a) Find the area under the standard normal curve to the right
of z= −1.97.
(b) Find the area under the standard normal curve that lies
between z= 1.26 and z=2.32.
(c) Find the area under the standard normal curve that lies
outside the interval between z=0.46 and
z=1.75.
(d) Find the area under the standard normal curve to the left of
z= −0.94.
Calculate the following probabilities using the standard normal
distribution. (Round your answers to four decimal places.) (a)
P(0.0 ≤ Z ≤ 1.8) (b) P(−0.1 ≤ Z ≤ 0.0) (c) P(0.0 ≤ Z ≤ 1.46) (d)
P(0.3 ≤ Z ≤ 1.58) (e) P(−2.02 ≤ Z ≤ −1.72) (f) P(−0.02 ≤ Z ≤ 3.51)
(g) P(Z ≥ 2.10) (h) P(Z ≤ 1.63) (i) P(Z ≥ 6) (j) P(Z ≥ −9)
Find the standard normal area for each of the following (Round
your answers to 4 decimal places.): Standard normal area a. P( Z ≤
2.16) b. P(Z ≤ 3.05) c. P(Z ≤ 2.05) d. P(Z > 0.55)
Determine the standard normal (z) curve areas below.
(Round all answers to four decimal places.)
(a) The area under the z curve to the left of
1.74
(b) The area under the z curve to the left of -0.67
(c) The area under the z curve to the right of 1.3
(d) The area under the z curve to the right of -2.82
(e) The area under the z curve between -2.22 and
0.53
(f) The area under the z...
Find the following probabilities. (Round your answers to four
decimal places.)
(a) p(0 < z <
1.44)
(b) p(1.03 < z <
1.69)
(c) p(−0.87 < z <
1.72)
(d) p(z < −2.07)
(e) p(−2.32 < z <
−1.17)
(f) p(z < 1.52)
Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.)
(a)
The area to the left of z is 0.1841.
(b)
The area between −z and z is 0.9398.
(c)
The area between −z and z is 0.2052.
(d)
The area to the left of z is 0.9948.
(e)
The area to the right of z is 0.6915.