Stress is applied to a 20-in. Steel bar that is clamped in a fixed position at each end. Let Y bethe distance from the left end at which the bar snaps with E(Y) = 10 and Var(Y) = 100/7.suppose U = Y/20 has a standard beta distribution:f(u; a, ß) ==[(a+ß)г(а)г(В)α-1u-(1 − u)-1; 0 12).(d) Compute the probability that the bar snaps more or less than 2 in. from where youexpect it to.

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Stress is applied to a 20-in. Steel bar that is clamped in a fixed position at each end. Let Y be = 10 and Var(Y) = 100/7. the distance from the left end at which the bar snaps with E(Y) suppose U = Y/20 has a standard beta distribution: f(u; a, ß): = r(a+ß) α-1 น Γ(α)Γ(β) (1 −u)³-¹; 0 12). (d) Compute the probability that the bar snaps more or less than 2 in. from where you expect it to.

Stress is applied to a 20-in. Steel bar that is clamped in a fixed position at each end. Let Y be = 10 and Var(Y) = 100/7. the distance from the left end at which the bar snaps with E(Y) suppose U = Y/20 has a standard beta distribution: f(u; a, ß): = r(a+ß) α-1 น Γ(α)Γ(β) (1 −u)³-¹; 0 12). (d) Compute the probability that the bar snaps more or less than 2 in. from where you expect it to.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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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.
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