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The results of a survey of 100 randomly selected students at a 2000-student high school are shown at the right. Find the experimental probability that a student selected at random has the given plans after graduation.

P(not trade school)
Number of Responses:
Go to community college 23
Go to a 4-year college 43
Take a year off before college 12
Go to trade school 15
Do not plan to go to college 7
A. 0.35
B. 0.45
C. 0.55
D. 0.65

User Titusjan
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1 Answer

5 votes

Final answer:

The experimental probability that a randomly selected student does not plan to go to trade school is 85%, as calculated by adding the number of students who chose other options and dividing by the total responses. The answer of 0.85 does not match any of the provided options.

Step-by-step explanation:

To find the experimental probability that a student selected at random from a high school does not plan to go to trade school, you must consider all the other options presented in the survey. These options are going to a community college, attending a 4-year college, taking a year off before college, and not planning to go to college at all.

To calculate the probability, you add the number of students who chose these options and then divide by the total number of survey responses. The data given is as follows:

  • Go to community college: 23 students
  • Go to a 4-year college: 43 students
  • Take a year off before college: 12 students
  • Do not plan to go to college: 7 students

Adding these numbers together gives us 23 + 43 + 12 + 7 = 85 students who do not plan to go to trade school out of 100 students surveyed.

The experimental probability (P) is therefore:

P(not trade school) = Number of students not going to trade school / Total number of responses

Which is:

P(not trade school) = 85 / 100 = 0.85 or 85%

None of the provided options (A. 0.35, B. 0.45, C. 0.55, D. 0.65) match this result. The correct answer might be missing from the provided options, as the calculated probability is actually 0.85.

User Huntario
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