Question 9 options:
0.8023
1.02
-1.02
-0.8023
Question 10 (1 point) Find the z-score represented by a.
P(z>a)=0.8461
Question 10 options:
-1.02
-0.8023
0.8023
1.02
Question 11 (1 point) The random variable x is normally distributed with a mean of = 82.7 and a standard deviation of = 11.2.
Find the probability. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
P(x<90.2)
Question 11 options:
0.7486
-0.6696
0.2514
0.6696
Question 12 (1 point) The random variable x is normally distributed with a mean of = 56.3 and a standard deviation of = 7.4.
Find the probability. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
P(x<62.2)
Question 12 options:
0.2119
-0.7973
0.7973
0.7881
Question 13 (1 point) The random variable x is normally distributed with a mean of = 56.3 and a standard deviation of = 7.4.
Find the probability. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
P(x>60.5)
Question 13 options:
0.5676
0.7157
0.2843
0.4324
Question 14 (1 point) The random variable x is normally distributed with a mean of = 142.6 and a standard deviation of = 18.3.
Find the probability. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
P(x>171.8)
Question 14 options:
0.0548
0.9452
0.8554
0.1446
Question 15 (1 point) The random variable x is normally distributed with a mean of = 82.7 and a standard deviation of = 11.2.
Find the probability. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
P(x<79.4)
Question 15 options:
0.2946
0.3859
0.6141
0.7054
Question 16 (1 point) The random variable x is normally distributed with a mean of = 56.3 and a standard deviation of = 7.4.
Find the probability. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
P(x<51.8)
Question 16 options:
0.3919
0.7291
0.6081
0.2709
Question 17 (1 point) The random variable x is normally distributed with a mean of = 56.3 and a standard deviation of = 7.4.
Find the probability. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
P(60 Question 17 options:
0.6756
0.1895
0.6800
0.7517
Question 18 (1 point) The random variable x is normally distributed with a mean of = 56.3 and a standard deviation of = 7.4.
Find the value of x which represents the cut-off score for the top 18%. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
Question 18 options:
63.1
62.2
50.4
49.5
Question 19 (1 point) The random variable x is normally distributed with a mean of = 82.7 and a standard deviation of = 11.2.
Find the value of x which represents the cut-off score for the bottom 20%. The answers are found using z-score tables. If solved with the calculator, choose the answer closest to the result from the calculator.
Question 19 options:
92.1
73.3
84.9
80.5
Question 20 (1 point) In local elections the typical voter turnout is 17% of registered voters. If 20 registered voters are randomly selected, what is the probability that exactly 3 of them voted in a local election? Question 20 options:
0.236
0.614
0.00491
0.510