A. In a recent school year in the state of Washington, there were 326,000 high s

Question

A. In a recent school year in the state of Washington, there were 326,000 high school students. Of these, 159,000 were girls and 167,000 were boys. Among the girls, 7,800 dropped out of school, and among the boys, 10,300 dropped out. A student is chosen at random Round all answers to 4 digits past the decimal point (a) What is the probability that the studen is male? (b) What is the probability that the student dropped out? (c) What is the probability that the student is male and dropped out? (d) Given that the student is male, what is the probability that he dropped out? (e) Given that the student dropped out, what is the probability that the studen is male? A box contains 4 coins B. coin 1 has both sides tails coin 2 has both sides heads coin 3 has both sides heads coin 4 is a regular con (1 side head, other side tails) (a) If we randomly choose one coin from the box and flip, what is the probability we get heads? (b) Suppose we randomly choose a coin, flip, and get heads, What is the probability that the coin that was chosen is the regular (1 side head, other side tails) coin?

Explanation / Answer

Ans:

1)

a)P(male)=167000/326000=0.5123

b)P(dropped out)=(10300+7800)/326000=0.0555

c)P(male and dropped out)=10300/326000=0.0316

d)P(dropped out/male)=P(male and dropped out)/P(male)=0.0316/0.5123=0.0617

e)P(male/dropped out)=P(male and dropped out)/P(dropped out)=0.0316/0.0555=0.5691

Boys Girls Total dropped 10300 7800 18100 not dropped 156700 151200 307900 Total 167000 159000 326000 Joint prob. Distribution Boys Girls Total dropped 0.0316 0.0239 0.0555 not dropped 0.4807 0.4638 0.9445 Total 0.5123 0.4877 1.0000

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