Question

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?

Answer 1

Answer:

.2119 is the answer

Step-by-step explanation:

hope this helps

Answer 2

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. $\mu=12\ ;\ \sigma=2.5$

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

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

$z=\dfrac{x-\mu}{\sigma}$

For x= 9 , we have

$z=\dfrac{9-12}{2.5}=-1.2$

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

$P(x<9)=P(z<-1.2)=0.1150697\approx0.1151$

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