Normal Distribution

\fThe mean of a normal distribution is 100 and its standard deviation is 2. The z values corresponding to the limits of the area shown are from to -3 -2.5 0.20 -2 -1.5 0.15 -1 -0.5 O 0.10 0.5 0.05 1.5 2 95 100 105 110 2.5 3Students who do a particular test get a score that is normally distributed with a mean of 65% and a standard deviation of 12%. Match the zscores with the scores they got on the test. 0 z = 2 Choose... 0 z = 02 Choose... 0 z = 0 Choose... 0 z : -'| Choose... 2 = -0.5 Choose... I 0 z = 0.33 Choose... The mean of a normal distribution is 100 and its standard deviation is 2. The z values corresponding to the limits of the area shown are from to 0.20 0.15 0.10 0.05 95 100 105 110What is the probability that a person selected at random from the population would have an IQ of more than 1000? IQ is normally distributed with u = 100 and o = 15. Select one: a. 0 b. 0.25 " c. 0.5 " d. 0.75 e. 1.0 What is the probability that a person selected at random from the population would have an IQ of more than 100? IQ is normally distributed with u = 100 and o = 15. Select one: a. 0 b. 0.25 " c. 0.5 d. 0.75 e. 1.0 The weights of 100 g packets of potato chips are actually not all equal to 100g. Their weights are distributed normally with a mean of 100 g and a variance of 1.44 (=1.22). What is the probability that a randomly selected packet is more than 1% below the correct weight? Give your answer to 4 significant figures. The weights of 100 g packets of potato chips are actually not all equal to 100g. Their weights are distributed normally with a mean of 100 g and a variance of 1.44 (=1.22). What is the probability that a randomly selected packet is more than 2% over the correct weight? Give your answer to 4 significant figures. The shaded area in the graph below is 0.065. What is the probability of getting a value of more than 97 if you choose one random measurement from this distribution? Give your answer to three decimal places. The heights of all the students in a school are measured. It is found that the mean height is 156 cm and the standard deviation in 14 cm. What is the height of the 0.90 quantile? Give your answer to 1 decimal place. The heights of all the students in a school are measured. It is found that the mean height is 156 cm and the standard deviation in 14 cm. What is the height of the 80th percentile? Give your answer to 1 decimal place. The heights of all the students in a school are measured. It is found that the mean height is 156 cm and the standard deviation in 14 cm. What is the height of the 90th percentile? Give your answer to 1 decimal place