SUplose that X is normally dis use the 69-95- 95.7 Rure and the Rule to estimate...
2. (2 points) Use the midpoint rule to estimate (7 – 2x – y)dA over the region D = {(x,y): -1 <r<2, -15y<2} partitioned using the lines x = 0, x = 1 and y = 0, y = 1. Take the sample points to be the midpoints of the sub-rectangles.
(1 point) Book Problem 21 Use Simpson's Rule with n = 4 to estimate the arc length of the curve y = 2e-2x, 0 < x < 2. L = Sof(x)dx where f(x) = The estimation S4
i. Suppose X ~ B (10,0.99). Use an appropriate procedure involving Poisson random variables to estimate P ({4.2 < X < 7.4}). Also estimate this using the binomial random variable directly. Are the answers close?
(1 point) Book Problem 21 Use Simpson's Rule with n = 4 to estimate the arc length of the curve y = 0.5e-20, 0 < x < 2. L = Să f(x)d« where f(x) = The estimation S4 =
X is a normally distributed variable with mean p = 30 and standard deviation o = 4. Find P(x < 40)
Use
Cramer's Rule to solve the system.
Use Cramer's Rule to solve the system. 9x + 5y 4x - 4y = = -11 -36 <-- and y=+
Assuming that random variable X is normally distributed with u = 120 and o =20, the P(80<X<100) is 0.0228 0.0446 0.1359 0.1587
6) Assume X is a normally distributed random variable with mean μ= 53 and standard deviation σ-12. Find P(52<X< 62). A) 0.5137 B)0.4269 C) 0.3066 D) 0.2108 E) 0.3635
The
last answer given for this question was incorrect, please help!
Part A Estimate the smallest range of speeds 0 <0, <vo you might find for a proton in the nucleus. Express your answer with the appropriate units. HA ? m = 7.01 • 106 S Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining < Return to Assignment Provide Feedback 29 AN <28 advanced - Attempt 2 Problem 28.49 A proton is confined within an atomic...
Use the Mean Value Theorem to demonstrate that In(1 + x) < x, given that x > 0.