Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Find the probability that a random selected occupation has an Emotional Health Index Score between 80.5 and 82. (Round to three decimal places)

Sagot :

Supposing the distribution is uniform, we find that there is a 0.15 = 15% probability that a random selected occupation has an Emotional Health Index Score between 80.5 and 82.

---------------------

Uniform probability distribution:

  • Has two bounds, a and b.
  • The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

In this problem:

  • We suppose that scores are uniformly distributed between 75 and 85, thus [tex]a = 75, b = 85[/tex].

The probability between 80.5 and 82 is:

[tex]P(80.5 \leq X \leq 82) = \frac{82 - 80.5}{85 - 75} = 0.15[/tex]

0.15 = 15% probability that a random selected occupation has an Emotional Health Index Score between 80.5 and 82.

A similar problem is given at https://brainly.com/question/15855314

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.