Homework Help is Here – Start Your Trial Now!
Math
Statistics
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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
See similar textbooks
icon
Related questions
Question

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) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS