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

The correct option is A

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((0.55 - 0.8)/( 0.25) < (X - \mu)/(\sigma ) < (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