Respuesta :
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