The weight of strawberries follows a normal distribution with a mean weight of 12 grams and a standard deviation of 2.5 grams. If a strawberry is randomly selected, what is the probability that the strawberry weighs less than 9 grams?

Respuesta :

Answer:

.2119 is the answer

Step-by-step explanation:

hope this helps

Answer: 0.1151

Step-by-step explanation:

Given : The weight of strawberries follows a normal distribution with a mean weight of 12 grams and a standard deviation of 2.5 grams.

i.e. [tex]\mu=12\ ;\ \sigma=2.5[/tex]

Let x be a random variable that represents the weight of strawberries.

For z-test , we need to find the z-score :-

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

For x= 9 , we have

[tex]z=\dfrac{9-12}{2.5}=-1.2[/tex]

By using the standard normal distribution table , the probability that the strawberry weighs less than 9 grams is given by :-

[tex]P(x<9)=P(z<-1.2)=0.1150697\approx0.1151[/tex]

Hence, the probability that the strawberry weighs less than 9 grams = 0.1151

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