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Consider the following exponential probability density function. 1 -x/5 5 (a) Write the formula for P(x S xo). f(x) = -1-e- x0 5 for x ≥ 0 (b) Find P(x ≤ 2). (Round your answer to four decimal places.) 0.3297 (c) Find P(x ≥ 5). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 7). (Round your answer to four decimal places.) 0.7534 (e) Find P(2 ≤ x ≤ 7). (Round your answer to four decimal places.) 0.4237

Consider the following exponential probability density function. 1 -x/5 5 (a) Write the formula for P(x S xo). f(x) = -1-e- x0 5 for x ≥ 0 (b) Find P(x ≤ 2). (Round your answer to four decimal places.) 0.3297 (c) Find P(x ≥ 5). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 7). (Round your answer to four decimal places.) 0.7534 (e) Find P(2 ≤ x ≤ 7). (Round your answer to four decimal places.) 0.4237

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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do part a for number 4 only.  For number 2 do whole thing . thanks.

Consider the following exponential probability density function. f(x) 1_-x/5 =-e -1-e for x ≥ 0 (a) Write the formula for P(x ≤ xo). x0 5 (b) Find P(x ≤ 2). (Round your answer to four decimal places.) 0.3297 (c) Find P(x ≥ 5). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 7). (Round your answer to four decimal places.) 0.7534 (e) Find P(2 ≤ x ≤ 7). (Round your answer to four decimal places.) 0.4237
Transcribed Image Text:Consider the following exponential probability density function. f(x) 1_-x/5 =-e -1-e for x ≥ 0 (a) Write the formula for P(x ≤ xo). x0 5 (b) Find P(x ≤ 2). (Round your answer to four decimal places.) 0.3297 (c) Find P(x ≥ 5). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 7). (Round your answer to four decimal places.) 0.7534 (e) Find P(2 ≤ x ≤ 7). (Round your answer to four decimal places.) 0.4237
To find P(-1.99 ≤z≤ 0.48), subtract the area to the left of z = -1.99 from the area to the left of z = 0.48. Tables can be used to find areas to the left of z values. Along the leftmost column are values of z precise to one decimal place. Trace along the necessary row until you get to the column for the needed hundredths place. The value where the row and column intersect is the area under the curve to the left of that z value. Z 0.00 0.01 0.02 0.03 0.04 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.05 0.06 0.07 0.08 0.0202 0.0197 0.0192 0.0188 0.0256 0.0250 0.0244 0.0322 0.0314 0.0307 Z 0.3 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.0239 0.0301 Use the table excerpt above to find the area under the standard normal curve to the left of z = -1.99, P(Z < -1.99). P(Z < -1.99) = 0.07 0.08 0.6443 0.6480 0.6808 0.6844 0.7190 0.09 0.0183 0.0233 0.0294 0.09 0.6517 0.6879 0.7224 Use the table excerpt above to find the area under the standard normal curve to the left of z = 0.48, P(z ≤ 0.48). P(Z < 0.48) =
Transcribed Image Text:To find P(-1.99 ≤z≤ 0.48), subtract the area to the left of z = -1.99 from the area to the left of z = 0.48. Tables can be used to find areas to the left of z values. Along the leftmost column are values of z precise to one decimal place. Trace along the necessary row until you get to the column for the needed hundredths place. The value where the row and column intersect is the area under the curve to the left of that z value. Z 0.00 0.01 0.02 0.03 0.04 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.05 0.06 0.07 0.08 0.0202 0.0197 0.0192 0.0188 0.0256 0.0250 0.0244 0.0322 0.0314 0.0307 Z 0.3 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.0239 0.0301 Use the table excerpt above to find the area under the standard normal curve to the left of z = -1.99, P(Z < -1.99). P(Z < -1.99) = 0.07 0.08 0.6443 0.6480 0.6808 0.6844 0.7190 0.09 0.0183 0.0233 0.0294 0.09 0.6517 0.6879 0.7224 Use the table excerpt above to find the area under the standard normal curve to the left of z = 0.48, P(z ≤ 0.48). P(Z < 0.48) =
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