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# Statistic Essay

549 words - 3 pages

If A and B are mutually exclusive events with P(A) = 0.70, then P(B)
can be any value between 0 and 1.
can be any value between 0 and 0.70.
cannot be larger than 0.30.
None of the above statements are true.

If A and B are independent events with P(A) = 0.20 and P(B) = 0.60, then P(A|B) is
0.2000

In the notation below, X is the random variable, c is a constant, and V refers to the variance. Which of the following laws of variance is not correct?
V(c) = 0
V(X + c) = V(X)
V(X + c) = V(X) + c
V(cX) = c2 V(X)

Which of the following statements is always correct?
P(A and B) = P(A) * P(B)
P(A or B) = P(A) + P(B)
P(A or B) = P(A) + P(B) + P(A and B)
P[pic]= 1- P(A)

An experiment ...view middle of the document...

5 pounds.

What proportion of babies weigh less than 5.5 pounds at birth?
0.0548

If the government wanted to change the value 5.5 pounds to a weight where only 2% of newborns weigh less than the new value, what weight should they use?
4.9375 pounds

If you are given a table of joint probabilities of two events, any probability computed by adding across rows or down columns is also called
marginal probability
joint probability
conditional probability
Bayes’ theorem

The effect of increasing the standard deviation of a normally distributed random variable is that the distribution becomes
narrower and more peaked.
flatter and wider.

If the random variable X follows a Uniform distribution with a=7.5 and b=11.5, what is P(X-0.13) = 1-0.4483 = 0.5517

What is P(0.29 18) P(2st > 18) P(3st > 18) P(4st > 18)

What is the probability that none of the 4 bags weigh more than 18 oz?
P(NONE>18) + P(ALL < 18) = P(1st < 18) P(2st < 18) P(3st < 18) P(4st < 18)

What is the probability that at least one of the 4 bags weighs more than 18 oz?
P(At least 1 bag > 18) = 1 – P(NONE>18) = 1 – (¾)4

CH6
1) A random experiment is an action or process that leads to one of several possible outcomes
2) A sample space of a random experiment is a list of all possible outcome of the experiment. The outcomes must me exhaustive (all possible outcomes must be included) and mutually exclusive (no two outcomes can occur at the same time).
3) Requirements of probabilities: Given a sample space S={O1,O2,…,Ok}, the probabilities assigned to the outcomes must satisfy two requirements:
a. The probability of any outcome must lie between 0 and one 0

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