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Table shows probability distribution for the number of extracurricular activities which students participate?

Table:

Extracurricular Activities
___________________
x= # of activities / probability

0 0.04
1 0.12
2 0.37
3 0.30
4+ 0.17

1.) show that the probability distribution is valid.
2.) if a student is chosen at random, what is the probability that the student participates in 1 to 3 activities?

please help don’t get it

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This entry was posted on Tuesday, November 23rd, 2010 at 6:16 pm and is filed under Minnesota Hypnotist. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

2 Responses to “Table shows probability distribution for the number of extracurricular activities which students participate?”

  1. rosenmdn says:
    November 23, 2010 at 6:16 pm

    1) Since p(0) + p(1) + p(2) + p(3) + p(4)
    = 0.04 + 0.12 + 0.37 + 0.30 + 0.17 = 1
    and each of the p(i)’s, i from 0 to 4 is less than 1,
    the probability distribution is valid.

    2) P(participates in 1 to 3 activities)
    = p(1) + p(2) + p(3)
    = 0.12 + 0.37 + 0.30
    = 0.79

  2. Megan says:
    November 23, 2010 at 6:16 pm

    validity — should be defined in your book, but the values are all in the range 0-1. All students should fall into one of these classes, so the total of the values needs to equal 1 (100%), which it does.

    2) probabilities add. so the probability of a student’s being in 1-3 activities is P(1 activity) + P(2 activities) + P(3 activities).

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