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A class with 25 students randomly selects a different student each week to bring a class snack. Of the students,
8% have food allergies. Let T be the number of weeks until a student with a food allergy is selected to bring the
snack
What type of variable is T?







Need help!!!

A class with 25 students randomly selects a different student each week to bring a class snack Of the students 8 have food allergies Let T be the number of week class=

Respuesta :

Answer:

Neither

Step-by-step explanation:

The variable T (weeks until getting food allergic student) follows Geometric Distribution

Given : 25 students & different student chosen to bring snack each week, 8% students have food allergies

To find : T ie number of weeks until student with food allergy is selected, follows which statistical distribution

  • Let's assume the probability of success be probability of choosing a student with food allergy . Also, let the number of weeks refer to number of trials.
  • Binomial Distribution shows probability of getting 'x' successes out of n trials, when probability of success and failure 'p' & 'q' are given. Geometric Distribution is a type of negative binomial distribution, denoting  number of trials needed to achieve a success.

In this case, we need to find number of weeks trials, needed to achieve a success - ie a student with food allergy.

Hence this follows a Geometric Distribution.

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