Question

6 Three points each. Show the events modeling clearly, and show your work. a. The probability of extreme temperature variations on the following day in a season is 0.1. The probability the viral infection occurs when extreme variation of temperature occurs is 0.6. What is the probability that in a season extreme variation of temperature occurs and the viral infection occurs? b. A baseball team finds that it wins with a probability of 0.7 when it bats first. In a season, it plays 10 games. What is the probability that it wins 3 games batting first? Assume that there is equal probability that it would bat first, or it would not bat first. c. The mortality probability of a person after 70 with heart attack is 0.2. The mortality probability of a person dying from car accident is 0.3. Assuming that the two events are independent, what is problem, a person will die from heart attack during car accident? d. What is the probability of selecting a specific name when we randomly select the first capital letter out of 26 capital English letters and permutation of the at least three letters and at most seven letters in a name? e. Find the probability of each outcome when a loaded die is rolled, if a 3 and 4 is twice as likely to appear as each of the remaining 4 numbers on the die.

          6
Three points each. Show the events modeling clearly, and show your work.
a.
The probability of extreme temperature variations on the following day in a season is 0.1.
The probability the viral infection occurs when extreme variation of temperature occurs is
0.6. What is the probability that in a season extreme variation of temperature occurs and
the viral infection occurs?
b.
A baseball team finds that it wins with a probability of 0.7 when it bats first. In a season,
it plays 10 games. What is the probability that it wins 3 games batting first? Assume
that there is equal probability that it would bat first, or it would not bat first.
c.
The mortality probability of a person after 70 with heart attack is 0.2. The mortality
probability of a person dying from car accident is 0.3. Assuming that the two events are
independent, what is problem, a person will die from heart attack during car accident?
d.
What is the probability of selecting a specific name when we randomly select the first
capital letter out of 26 capital English letters and permutation of the at least three letters
and at most seven letters in a name?
e.
Find the probability of each outcome when a loaded die is rolled, if a 3 and 4 is twice as
likely to appear as each of the remaining 4 numbers on the die.

6
Three points each. Show the events modeling clearly, and show your work.
a.
The probability of extreme temperature variations on the following day in a season is 0.1.
The probability the viral infection occurs when extreme variation of temperature occurs is
0.6. What is the probability that in a season extreme variation of temperature occurs and
the viral infection occurs?
b.
A baseball team finds that it wins with a probability of 0.7 when it bats first. In a season,
it plays 10 games. What is the probability that it wins 3 games batting first? Assume
that there is equal probability that it would bat first, or it would not bat first.
c.
The mortality probability of a person after 70 with heart attack is 0.2. The mortality
probability of a person dying from car accident is 0.3. Assuming that the two events are
independent, what is problem, a person will die from heart attack during car accident?
d.
What is the probability of selecting a specific name when we randomly select the first
capital letter out of 26 capital English letters and permutation of the at least three letters
and at most seven letters in a name?
e.
Find the probability of each outcome when a loaded die is rolled, if a 3 and 4 is twice as
likely to appear as each of the remaining 4 numbers on the die.

Added by Mackenzie N.

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