The median of the distribution X having p.d. f. f(x) = {3x",0 < x < 1 0 ,0.w. %3D
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0 ,0.w.
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- Find the indicated IQ score. 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. x 0.2525 A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate x, which is to the right of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded and labeled 0.2525. Question content area bottom Part 1 The indicated IQ score is enter your response here. (Round to the nearest whole number as needed.)Find the value of x if ST_ is the midsegment of ΔEFG.Let 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 ? = 4.3 and standard deviation ? = 0.5. (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 < (d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.)x < (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) < x(f) Convert the z interval, −2.25 < z < −1.00, to an x interval. (Round your answers to one decimal place.) < x <
- Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 117 pounds and a standard deviation of 39.8 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined. = μx ox (Round to three decimal places as needed.) = Sketch a graph of the sampling distribution. Choose the correct graph below. A. B. O C. O D. A A A -108.1 8.9 125.9 90.3 117 143.7 -342.1 8.9 359.9 99.2 117 134.8Let 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 < _______Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 27.0 kilograms and standard deviation σ = 3.1 kilograms. Let x be the weight of a fawn in kilograms. For parts (a), (b), and (c), convert the x intervals to z intervals. (For each answer, enter a number. Round your answers to two decimal places.) (a) x < 30z < (b) 19 < x (Fill in the blank. A blank is represented by _____.)_____ < z (c) 32 < x < 35 (Fill in the blanks. A blank is represented by _____. There are two answer blanks.)_____ < z < _____first blank second blank For parts (d), (e), and (f), convert the z intervals to x intervals. (For each answer, enter a number. Round your answers to one decimal place.) (d) −2.17 < z (Fill in the blank. A blank is represented by _____.)_____ < x (e) z < 1.28x < (f) −1.99 < z < 1.44 (Fill in the blanks. A blank is represented by _____. There are two answer…
- IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. (a) Find the z-score for an IQ of 99, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 99. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x- axis is the z-score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value -1 -1.5 0 +). Click and drag the arrows to adjust the values. 1 2 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. Edit Insert Formats B I U x₂ x² A => EM e & N 18 (f) The middle 50% of IQs fall between what two values? (g) Sketch the graph and write the probability statement. Edit Insert Formats BIUX₂ X² A E = = E EC P R N • Σ+ Σ Α Σ+ Σ ΑDetermine to 3 decimal places the value of x² for 25 degrees of freedom and an area of 0.990 in the left tail of the chi-square distribution curve. x² = iFind the z-score that has 62.2% of the distribution's area to its right
- Let 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 ? = 3.6 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 < ______(d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.)x < ____(e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) ____< x(f) Convert the z interval, −2.25 < z < −1.00, to an x interval. (Round your answers to one decimal place.)_____ < x < ____(g) If a female had an RBC count of 5.9 or higher, would that be considered unusually…Let 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 ? = 3.4 and standard deviation ? = 0.5. Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.)____ < zConvert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)z < ____ Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.)____ < z < ___Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.)x < ____ Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)____ < xConvert the z interval, −2.25 < z < −1.00, to an x interval. (Round your answers to one decimal place.)____ < x < ___If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values.…Let 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 ? = 5.6 and standard deviation ? = 0.4. (d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.) (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.)
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