Questions: The percent of college students' marijuana use for a sample of 92,622 students is shown in the accompanying pie chart. Find the probability of each event listed in parts (a) through (d) below. (a) Randomly selecting a student who never used marijuana The probability is 53.4 %. (Round to one decimal place as needed.) (b) Randomly selecting a student who used marijuana The probability is 46.6 %. (Round to one decimal place as needed.)

The percent of college students' marijuana use for a sample of 92,622 students is shown in the accompanying pie chart. Find the probability of each event listed in parts (a) through (d) below.

(a) Randomly selecting a student who never used marijuana

The probability is 53.4 %.
(Round to one decimal place as needed.)
(b) Randomly selecting a student who used marijuana

The probability is 46.6 %.
(Round to one decimal place as needed.)

Transcript text: The percent of college students' marijuana use for a sample of 92,622 students is shown in the accompanying pie chart. Find the probability of each event listed in parts (a) through (d) below. (a) Randomly selecting a student who never used marijuana The probability is $53.4 \%$. (Round to one decimal place as needed.) (b) Randomly selecting a student who used marijuana The probability is $46.6 \%$. (Round to one decimal place as needed.)

Solution

Solution Steps

Step 1: Identify the probability of a student who never used marijuana

From the pie chart, the percentage of students who never used marijuana is 53.4%.

Step 2: Identify the probability of a student who used marijuana

From the pie chart, the percentage of students who used marijuana is the sum of all categories except "Never used":

Used, but not in the last 30 days: 27.0%
Used 1-9 days: 9.0%
Used 10-29 days: 7.0%
Used all 30 days: 3.6%

Adding these percentages: \[ 27.0\% + 9.0\% + 7.0\% + 3.6\% = 46.6\% \]

Step 3: Identify the probability of a student who used marijuana between 1 and 9 days

From the pie chart, the percentage of students who used marijuana between 1 and 9 days is 9.0%.

Final Answer

(a) The probability of randomly selecting a student who never used marijuana is 53.4%.
(b) The probability of randomly selecting a student who used marijuana is 46.6%.
(c) The probability of randomly selecting a student who used marijuana between 1 and 9 days is 9.0%.

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