To calculate the probability that a randomly chosen first-year college student spent more than 10 hours per week studying or doing homework during their last year in high school, we need to consider the given probabilities for the other time intervals. The table provides the following probabilities:- Less than one hour: 0.1- 1 to 5 hours: 0.5- 6 to 10 hours: 0.2- More than 10 hours: ?Since the sum of all probabilities must equal 1, we can set up the equation:\[ 0.1 + 0.5 + 0.2 + \text{(Probability of more than 10 hours)} = 1 \]Calculating the unknown probability:\[ 0.8 + \text{(Probability of more than 10 hours)} = 1 \]\[ \text{Probability of more than 10 hours} = 1 - 0.8 = 0.2 \]Therefore, the probability that a student spent more than 10 hours per week studying or doing homework is 0.2. **Probability:** 0.2

Method: Use the total probability rule for the discrete distribution.according to the sum of probability of a discrete distribution 0.1+0.5+0.2+P (more than10 hours) =1 P (more than10 hours) =1-(0.1+0.5+0.2) P (more than10 hours) =1-0.8 P (more than10 hours) =0.2

Math

Statistics

a typic omework during their last year in high school. Probabilities for the outcomes are Less than one hour 0.1 Time Probability 1 to 5 hours 6 to 10 hours 0.5 0.2 week hey spent studying or doin More than 10 hours ? What must be the probability that a randomly chosen first-year college student says they spent more than 10 hours per wee udying or doing homework during their last year in high school? Use decimal notation. Give your answer as an exact number.)

a typic omework during their last year in high school. Probabilities for the outcomes are Less than one hour 0.1 Time Probability 1 to 5 hours 6 to 10 hours 0.5 0.2 week hey spent studying or doin More than 10 hours ? What must be the probability that a randomly chosen first-year college student says they spent more than 10 hours per wee udying or doing homework during their last year in high school? Use decimal notation. Give your answer as an exact number.)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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