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Statistics Final || A+ Guaranteed.

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Rules of Probability correct answers 1. The probability of any event must be between 0 and 1, inclusive. 0 ≤ P(E) ≤ 1. 2. The sum of the probabilities of all outcomes must equal 1. 3. If E and F are disjoint events, then P(E or F) = P(E) + P(F). If E and F are not disjoint events, then P(E or...

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  • August 9, 2024
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Statistics Final || A+ Guaranteed.
Rules of Probability correct answers 1. The probability of any event must be between 0 and 1,
inclusive. 0 ≤ P(E) ≤ 1.
2. The sum of the probabilities of all outcomes must equal 1.
3. If E and F are disjoint events, then P(E or F) = P(E) + P(F). If E and F are not disjoint events,
then P(E or F) = P(E) + P(F) - P(E and F)
4. If E represents any event and Ec represents the complement of E, then P(Ec) = 1 - P(E)
5. If E and F are independent events, then P(E and F) = P(E)∗P(F)

In a probability model, the sum of the probabilities of all outcomes has what value? correct
answers 1

Probabilities using the empirical method. correct answers Look at what has happened in the past
and assume the probability is the same as the relative frequency of that particular outcome.
P(E)=relative frequency of E =

frequency of E/total number of trials

A person spins a six-space spinner. He then draws a playing card and checks its color. Describe
the sample space of possible outcomes. Use 1,2,3,4,5, and 6 for the spinner outcomes. Use B and
R as the color outcomes. correct answers {1b,2B,3B,4B,5B,6B,1R,2R,3R,4R,5R, and 6R}

Probabilities using the classical method correct answers Assume that all outcomes are equally
likely.

P(E)=number of ways E can occur/total number of possible outcomes

Roberto, Marco, Clarice, and John work for a publishing company. The company wants to send
two employees to a statistics conference. To be fair, the company decides that the two
individuals who get to attend will have their names randomly drawn from a hat. Determine the
sample space of the experiment. That is, list all possible simple random samples of size n=2.
correct answers {RM,RC,RJ,MC,MJ,CJ}

Subjective Probability correct answers Obtained on the basis of personal judgement

Determine whether the following probability is computed using the classical method, the
empirical method, the subjective method, or none of these. The probability of having six girls in
a six-child family is 0.015625 correct answers Classical Method

Addition Rule for Disjoint Events correct answers If E and F are disjoint (no outcomes in
common) events, then
P(E or F)=P(E) + P(F)

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