Use the z-table to find the requested probabilities.
Enter your answers to 4 decimal places.
(a)
P(z < 1.26) =
(b)
P(z ≥ −1.71) =
(c)
P(−2.19 < z < 2.65)
=
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)
Use Table C or software to find the following. (Round your
answers to three decimal places.)
(a) the critical value for a one-sided test with level
α = 0.025 based on the t(8) distribution
t* =
Instructions: Where applicable, enter your answers to 2
decimal places. Also, use / for divide, * for multiply, ( ) to put
terms in parentheses, and ^ to raise to a certain power. Use $ for
monetary terms but do not use a comma.
Consider that a perfectly competitive, constant long-run cot
industry with identical firms is currently in long run equilibrium.
The market demand is described by the equation Q = 2020 - 2P and
the total cost function...
Solve ΔABC. (Round your answers to two decimal places.
If there is no solution, enter NO SOLUTION.)
α = 47.16°, a =
5.04, b = 6.17
smaller c:
c =
β =
°
γ =
larger c:
c =
β =
°
γ =
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.
Find to 4 decimal places the following binomial probabilities
using the normal approximation.
a. n = 140, p = 0.42, P(x = 64)
P(x = 64) =
b. n = 100, p = 0.58, P(51 ≤ x ≤ 60)
P(51 ≤ x ≤ 60) =
c. n = 90, p = 0.42, P(x ≥ 41)
P(x ≥ 41) =
d. n = 102, p = 0.74, P(x ≤ 75)
P(x ≤ 75) =
Find to 4 decimal places the following binomial probabilities
using the normal approximation.
a. n = 130, p = 0.42,
P(x = 77)
P(x = 77) =
b. n = 100, p = 0.57,
P(52 ≤ x ≤ 61)
P(52 ≤ x ≤ 61) =
c. n = 90, p = 0.41,
P(x ≥ 38)
P(x ≥ 38) =
d. n = 103, p = 0.75,
P(x ≤ 75)
P(x ≤ 75) =
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)