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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feaff9129-3ee7-45d2-be07-4710dc5f9db4%2Fcb0013ba-5f7f-492c-ac7d-76ab58cd5171%2F6owm31a_processed.png&w=3840&q=75)
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) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feaff9129-3ee7-45d2-be07-4710dc5f9db4%2Fcb0013ba-5f7f-492c-ac7d-76ab58cd5171%2F2o1t247_processed.png&w=3840&q=75)
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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