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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.find the z-score that has 30.5% of the distributions area to its left.Q2\ For normal distribution find : al z-1.28 Q3\ Find the equation that represent the relation between (x and y): X 1 10 y 2 3 4 5 20 30 40 50
- Let X ~ I(2,B). Find the distribution of Y = 2X.Find the Z score for which 80% of the distributions area lies between -z and zBased on the computed descriptive statistics, compare the two distributions in terms of their measures of location and measures of dispersions. On the average, which group of students perform better academically in the previous term? Which group varies more? 1st image are the male students and the 2nd image are the female students.
- Find fo.10 for F distribution with (2,4) degrees of freedom. fo.10 (Round the answer to 2 decimal places)The amount of time a service technician needs to change all four tires on a car is uniformly distributed between 10 and 23 minutes. Let X = the time needed to change the tires on a car. Complete the distribution: X ~ U (____, ____) . Find P (x > 20). Find the 65th percentile.(d) Calculate the semi-interquartile range of the distribution.
- The first three moments of a distribution about the value 2 of.the variable are 1, 16 and – 40. Show that the mean is 3, variance is 15 and uz = - 86. Also show that the first three moments about x = 0 are 3, 24, and 76.Assume a distribution with mean of 50 and a standard devivation of 12. For an x-value of 65, the z-score is . (two-decimal accuracy) For a z-score of -2.3, x = . (one-decimal accuracy)nN(dp) is define as the “number distribution function” , where dp is the particle diameter. Assume nN(dp) is a normal distribution with a mean of 10 µm and a standard deviation of 2 µm. The total number concentration of particles of all sizes is 10,000 particles cm-3. What is the number concentration of particles in the size range 10 µm and 14 µm?