Zucchini weights are approximately normally distributed with mean 08 pound and standard deviation 0.25 pound. Which of the following shaded regions best represents the probability that a
randomly selected zucchini will weigh between 0 55 pound and 13 pounds?

Respuesta :

Answer:

The correct option is  A

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 0.8 \ pounds[/tex]

    The standard deviation is  [tex]\sigma = 0.25 \ pounds[/tex]

Generally the the probability that a  randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as

       [tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]

=>    [tex]P(0.55 <  X  <  1.3)  =  P( -1 <  Z  <  2 )[/tex]

So looking the option of normal curves given in the question we see that it is option A that matches our interval  

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