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Question 11 (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<159.1)

Question 11 options:

-0.9016

0.1841

0.9016

0.8159

Question 12 (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 12 options:

0.2514

0.6696

0.7486

-0.6696

Question 13 (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>91.8)

Question 13 options:

0.1875

0.2090

0.8125

0.7910

Question 14 (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 14 options:

0.4324

0.2843

0.7157

0.5676

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:

0.7054

0.6141

0.2946

0.3859

Question 16 (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<140.2)

Question 16 options:

0.5517

0.8485

0.1515

0.4483

Question 17 (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(85

Question 17 options:

0.8133

0.7189

0.8929

0.2811

Question 18 (1 point) The random variable x is normally distributed with a mean of = 142.6 and a standard deviation of = 18.3.

Find the value of x which represents the cut-off score for the top 15%. 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:

145.3

161.6

123.6

158.2

Question 19 (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 bottom 40%. 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:

53.3

59.3

54.5

58.1

Question 20 (1 point) In local elections the typical voter turnout is 21% of registered voters. If 30 registered voters are randomly selected, what is the probability that exactly 4 of them voted in a local election? Question 20 options:

0.116

0.240

0.840

0.00194