Question

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?

Answer 1

Answer:

The correct option is  A

Step-by-step explanation:

From the question we are told that

   The  mean is  $\mu = 0.8 \ pounds$

    The standard deviation is  $\sigma = 0.25 \ pounds$

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

       $P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})$

=>    $P(0.55 < X < 1.3) = P( -1 < Z < 2 )$

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