3. Now the client wants to know if a SPREAD of USD 50 / bbl signals a high or a low WTI price. Your client very much believes that a high WTI price is here to stay. Calculate the odds that this SPREAD signals a highWTI price. Be sure to show all of your calculations and provide an interpretation of your findings for the client. Provide your answer to the question directly below along with the reasons for the calculations you made along with your one line interpretation. Be sure to show all of your work in your notebook. Take a photo of the page in the notebook and upload it below. Your answer SPREAD 50.0000 sigma N(y,mu,sigma) Pr(h) 7.5470 7.5470 WTI mu H_low H_high 45 45.9900 0.0459 0.2500 55 47.6584 0.0504 0.7500 mu_SPREAD 49.46 sigma_SPREAD 8.67 mu_WTI 65.79 sigma_WTI rho_SPREAD_WTI 0.49251 25.60

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.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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Question
3. Now the client wants to know if a SPREAD of USD 50 / bbl signals a high or
a low WTI price. Your client very much believes that a high WTI price is here to
stay. Calculate the odds that this SPREAD signals a high WTI price. Be sure to
show all of your calculations and provide an interpretation of your findings
for the client. Provide your answer to the question directly below along with
the reasons for the calculations you made along with your one line
interpretation. Be sure to show all of your work in your notebook. Take a
photo of the page in the notebook and upload it below.
Your answer
SPREAD 50.0000
WTI
sigma N(y,mu,sigma)
7.5470
7.5470
h
mu
Pr(h)
H_low
H_high
45
45.9900
0.0459
0.2500
55
47.6584
0.0504
0.7500
mu_SPREAD
49.46
sigma_SPREAD
8.67
mu_WTI
sigma_WTI
rho_SPREAD_WTI
65.79
25.60
0.49251
variable
mean WTI
variable
mean UNL
min
49.44
min
2.29
25%
25%
50%
75%
66.70
2.76
71.20
50%
2.88
75.94
75%
2.99
max
99.13
max
3.59
IQR
0.25 fence
0.75 fence
9.23
IQR
0.23
52.86
0.25 fence
2.41
89.78
0.75 fence
3.34
mean
71.33
mean
2.88
sd
6.92
sd
0.17
mad
5.52
mad
0.14
skewness
0.06
skewness
0.04
kurtosis
2.97
kurtosis
3.00
count
10000
count
10000
credible
credible
99%
99%
interval
interval
0.5%
54.09
0.5%
2.44
99.5%
89.45
99.5%
3.33
Transcribed Image Text:3. Now the client wants to know if a SPREAD of USD 50 / bbl signals a high or a low WTI price. Your client very much believes that a high WTI price is here to stay. Calculate the odds that this SPREAD signals a high WTI price. Be sure to show all of your calculations and provide an interpretation of your findings for the client. Provide your answer to the question directly below along with the reasons for the calculations you made along with your one line interpretation. Be sure to show all of your work in your notebook. Take a photo of the page in the notebook and upload it below. Your answer SPREAD 50.0000 WTI sigma N(y,mu,sigma) 7.5470 7.5470 h mu Pr(h) H_low H_high 45 45.9900 0.0459 0.2500 55 47.6584 0.0504 0.7500 mu_SPREAD 49.46 sigma_SPREAD 8.67 mu_WTI sigma_WTI rho_SPREAD_WTI 65.79 25.60 0.49251 variable mean WTI variable mean UNL min 49.44 min 2.29 25% 25% 50% 75% 66.70 2.76 71.20 50% 2.88 75.94 75% 2.99 max 99.13 max 3.59 IQR 0.25 fence 0.75 fence 9.23 IQR 0.23 52.86 0.25 fence 2.41 89.78 0.75 fence 3.34 mean 71.33 mean 2.88 sd 6.92 sd 0.17 mad 5.52 mad 0.14 skewness 0.06 skewness 0.04 kurtosis 2.97 kurtosis 3.00 count 10000 count 10000 credible credible 99% 99% interval interval 0.5% 54.09 0.5% 2.44 99.5% 89.45 99.5% 3.33
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