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a campus asked students what their plans were for spring break. the cam…

Question

a campus asked students what their plans were for spring break. the campus revealed that 27% were going out of town with friends, 35% were going out of town with family, and 38% were staying home.

outcomefriendsfamily

a partially completed probability model is shown. complete the statements about the probability model.
the third outcome in the sample space is ✔ at home
the probability for the outcome \going out of town with friends\ is
the probability for the outcome \going out of town with family\ is
the probability for the outcome \staying home\ is

Explanation:

Step1: Determine Friends' Probability

The problem states 27% are going out with friends. Convert percentage to decimal: \( 27\% = \frac{27}{100} = 0.27 \).

Step2: Determine Family's Probability

35% are going out with family. Convert to decimal: \( 35\% = \frac{35}{100} = 0.35 \).

Step3: Determine Staying Home Probability

38% are staying home. Convert to decimal: \( 38\% = \frac{38}{100} = 0.38 \).

Answer:

  • "going out of town with friends": \( 0.27 \) (or \( 27\% \))
  • "going out of town with family": \( 0.35 \) (or \( 35\% \))
  • "staying home": \( 0.38 \) (or \( 38\% \))