2. Show that the lognormal distribution is unimodal and skewed right. Specifically, let m = = exp(μ-62) and show that a. fx is increasing on (0, m) and decreasing on (m, co), so that the mode occurs at x = m. b. f(x)0 as x → ∞o. c. f(x) →0 as x 10.

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ЙЦУКЕНГШУЙЦУКЕНГШУКЕНГШ Щ ЗКЕНГШЩЗХЪ
ЙЦУКЕНГШУЙЦУКЕНГШУКЕНГШ ЩЗКЕНГШЩЗХЪ
ФЫ В А ПРОЫ В ФЫ В А ПРО ВАПРОЛДЗАПРОЛДЖЭ
ЯЧСМИТНЧСМИТЯЧСМИТНЧСМИТЬБНСМИТЬБЮ
SOLVE STEP BY STEP IN DIGITAL FORMAT
2. Show that the lognormal distribution is unimodal and skewed right. Specifically, let m = exp(u-ø²) and show
that
. .
a. fx is increasing on (0, m) and decreasing on (m, co), so that the mode occurs at x = m.
b. f(x) - 0 as x → co.
c. f(x) → 0 as x 10.
ЙЦУКЕНГШУЙЦУКЕНГШУКЕНГШ Щ ЭКЕНГШ ЩЗХЪ
ЙЦУКЕНГШУЙЦУКЕНГШУКЕНГШЩ ЗКЕНГШЩЗХъ
ФЫ В АПРО» В Ф Ы В А П Р О ВАПРОЛДЗАПРОЛДЖЭ
ЯЧСМИТНЧСМИТЯЧСМИТНЧСМИТЬБАСМИТЬБю
Transcribed Image Text:ЙЦУКЕНГШУЙЦУКЕНГШУКЕНГШ Щ ЗКЕНГШЩЗХЪ ЙЦУКЕНГШУЙЦУКЕНГШУКЕНГШ ЩЗКЕНГШЩЗХЪ ФЫ В А ПРОЫ В ФЫ В А ПРО ВАПРОЛДЗАПРОЛДЖЭ ЯЧСМИТНЧСМИТЯЧСМИТНЧСМИТЬБНСМИТЬБЮ SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Show that the lognormal distribution is unimodal and skewed right. Specifically, let m = exp(u-ø²) and show that . . a. fx is increasing on (0, m) and decreasing on (m, co), so that the mode occurs at x = m. b. f(x) - 0 as x → co. c. f(x) → 0 as x 10. ЙЦУКЕНГШУЙЦУКЕНГШУКЕНГШ Щ ЭКЕНГШ ЩЗХЪ ЙЦУКЕНГШУЙЦУКЕНГШУКЕНГШЩ ЗКЕНГШЩЗХъ ФЫ В АПРО» В Ф Ы В А П Р О ВАПРОЛДЗАПРОЛДЖЭ ЯЧСМИТНЧСМИТЯЧСМИТНЧСМИТЬБАСМИТЬБю
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