2 years ago

I'm terrible at fractions I need help

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

8 0

Answer:

4/5

Step-by-step explanation:

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Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69

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Answer:

(a) 7.6%

(b) 46.2% 42.4%

Step-by-step explanation:

(a)According to the definition of Continuous probability distribution

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}$

$f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}$

⇒ 0.19 × 0.4 = F(69.2) - F(68.8)

⇒ F(69.2) - F(68.8) = 0.076

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(b) Given F(69) = 0.5

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}$

⇒ 0.19 × 0.2 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.038 = 0.462

⇒ 46.2%

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}$

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

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I'm terrible at fractions I need help​

I'm terrible at fractions I need help