sume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. P(- b< z < b) = 0.9856, find b (round your answer to 3 decimals). |
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- The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 13 days. A distribution of values is normal with a mean of 262 and a standard deviation of 13. What percentage of pregnancies last fewer than 236 days? P(X Next QuestionA distribution of values is normal with a mean of 214 and a standard deviation of 10.Find the probability that a randomly selected value is less than 203.P(X < 203) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. A symmetric bell-shaped curve is plotted over a horizontal scale. Two vertical lines run from the scale to the curve at labeled coordinates 106 and 126, which are both to the right of the curve’s center and peak. The area under the curve between the vertical lines is shaded. Question content area bottom Part 1 The area of the shaded region is enter your response here. (Round to four decimal places as needed.)
- Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8. Which choice correctly describes how to find the proportion of men that have a pulse rate greater than 78? (a) Find the area to the right of z = -1 under a standard normal curve. (b) Find the area to the right of z=1 under a standard normal curve. (c) Find the area to the left of z = 1 under a standard normal curve. (d) Find the area between z=-1 and z=1 under a standard normal curve. (e) None of the aboveLet x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 5.4 and standard deviation ? = 0.6. a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) _______ < z b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) z < ______ c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.) ________ < z < _______Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 108 130 The area of the shaded region is |- (Round to four decimal places as needed.) Enter your answer in the answer box. ?
- The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days and a standard deviation of 12 days. A distribution of values is normal with a mean of 266 and a standard deviation of 12.What percentage of pregnancies last fewer than 270 days? P(X < 270 days) = %Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 102 126 A symmetric bell-shaped curve is plotted over a horizontal scale. Two vertical lines run from the scale to the curve at labeled coordinates 102 and 126, which are both to the right of the curve’s center and peak. The area under the curve between the vertical lines is shaded. The area of the shaded region is enter your response here. (Round to four decimal places as needed.)The combined SAT scores for the students at a local high school are normally distributed with a mean of 1524 and a standard deviation of 305. The local college includes a minimum score of 1555 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 1555) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z- scores or z-scores rounded to 3 decimal places are accepted.
- The table below shows the summary statistics of the sales ($) made by company ABC in 2022. No. of month 12 134,562 135,000 48,997 95,000 185,000 90,000 Mean Median S.D Minimum Maximum Range The monthly profit should be adjusted by multiplying 0.88 then subtracting $30,000. Without calculating the profit for each month, find the new standard deviation of profit for 2022? (2 d.p.)Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of th - × The area of the shaded r Standard Normal Table (Page 1) NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0003 0004 .0003 .0004 .0003 .0004 .0002 .0003 -3.2 .0007 .0007 .0006 0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 0007 .0007 -3.0 .0013 .0013 0013 .0012 0012 .0011 .0011 .0011 0010 0010 -2.9 .0019 0018 0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062…Now use the binomial formulas below to find the mean and standard deviation when n = 5 and p = 0.04. Mean = u = n x p Standard Deviation = q = _/npq