High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX=the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. Value x, 6 8 9 10 1 2 3 4 7 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event "the school year has 0 snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?

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High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that
school is canceled for the day. Define the random variableX = the number of snow days at a certain high school
in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X.
1.
Value x,
1.
3
4
5
6
7
8
9
10
Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01
(a) Write the event “the school year has O snow days" in terms of X. Then find its probability.
(b) At this high school, if more than 5 snow days are used over the course of the year, students are required to
make up the time at the end of the school year. What's the probability that a randomly selected school year will
require make-up days?
Transcribed Image Text:High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
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