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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.If P(A) = 0.5, P(B) = 0.4, and P(A^ B) = 0.25, then P(AUB) = 0.35 0.15 0.65 0.9Z=, P-Value=
- The Harvard Step Test was developedt in 1943 as a physical fitness test, and modifications of it remain in use today. The candidate steps up and down on a bench 20 inches high 30 times per minute for 5 minutes. The pulse is counted three separate times for 30 seconds each: at 1 minute, 2 minutes, and 3 minutes after the exercise is completed. If P is the sum of the three pulse counts, then the physical efficiency index E is calculated using 15,000 E= The following table shows how to interpret the results of the test. Interpretation Efficiency index Below 55 55 to 64 Poor condition Low average High average Good Excellent 65 to 79 80 to 89 90 & above (a) Does the physical efficiency index increase or decrease with increasing values of P? O increase O decrease Explain in practical terms what this means.If 25% of the oranges produced by a farm is defective in a random sample of 20 oranges, then if the variable X represents the number of defective oranges in the required sample: Calculate (X> 3) exactlyIf P(B) = ² and P(A'^B) = 12, for two events A and B, find P(A/B).
- Assume that the entire sample has 2 positive observations and 6 negatives observations. Variable X1: at the left branch has 2 positive observations and 4 negatives observations;at the right branch has 6 positive observations and 6 negatives observations. What is the information gain or reduction in uncertainty of X1 using the Gini index? (round to two decimal spaces) I am getting negative value -1.37 for this question.But information gain should be positive.One sample of n=12 scores has a mean of M=7, a second sample of n=8 scores has a M =12. If the 2 samples are combined, what is the M of the combined sample?