The variable z is a standard random variable, therefore centered and reduced. Determine the following probability: P(0.45 < z < 1.93). Please choose an answer: A. 20.04% b.29.96% C. 47.32% S. 64.68% The height of women follows a normal law with a mean of 162.5 and a standard deviation of 5 cm. If we choose a woman at random, what is the probability that she is less than 155 cm tall? Please choose an answer: A. 6.68% B. 7.7% C. 43.32% D. 92.3% We measured the height of all national line hockey players. The average is 185 cm with a standard deviation of 2.5 cm. The distribution is assumed to be normal. If we choose a player at random, what is the probability that he is between 180 cm and 186 cm tall? Please choose an answer: A. 32.12% B. 36.74% C. 63.26% D. 65.54% We measured the height of all national line hockey players. The average is 185 cm with a standard deviation of 2.5 cm. The distribution is assumed to be normal. If a player is chosen at random, how tall must he be to be in the tallest 10% of the line? (Round your answer to the nearest centimeter.) Please choose an answer: A.179 B.182 C. 185 D. 188 In order to choose a contestant for a television show, the contestants were given a written test and the results were normally distributed around an average of 58 points with a standard deviation of 5 points. We could only keep 10% of the participants for the next stage. What result must a candidate have obtained to be admitted? (Round your answer to the nearest whole.) Please choose an answer: A. More than 59 points B. More than 63 stitches C. More than 64 stitches d. More than 90 stitches