contestada

Im giving all my points please help.
The weight of laboratory butterflies follows a Normal distribution, with a mean of 50 grams and a standard deviation of 3 grams. What percentage of the butterflies weigh between 47 grams and 53 grams?

99.7%
95%
68%
47.5%
34%

Respuesta :

ayomide7343

Answer:

68%

Step-by-step explanation:

please mark me brainliest

caylus

Answer: C

Hello,

Step-by-step explanation:

[tex]\overline{x}=50,\ \sigma=3,\ z=\dfrac{x-50}{3} \\\\p(47\leq x \leq 53)=p(\dfrac{47-50}{3} \leq z \leq \dfrac{53-50}{3} )=p(-1\leq z \leq 1)\\\\p(z\leq 1)=0.8413\ (in\ table)\\\\p(z\geq 1)=p(z\leq 1)=1-0.8413=0.1587\\\\p(-1\leq z \leq 1)=0.8413-01587=0.6826\\[/tex]

p≈68%

Answer C

Otras preguntas