Probability Questions
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la probabilité de l'évènement contraire de A
une variable aléatoire quantitative prend des valeurs
Dans les variables aléatoires discrètes, la variable aléatoire ne peut prendre que certaines valeurs, en général des
Lorsqu'on lance un dé à 6 faces , la probabilité d'obtenir un résulltat supérieur ou égal à 2.
L'événement formé des éventualités qui sont dans A et dans B
A et B sont incompatibles si et seulement si
Les sous-ensembles de l'univers Ω sont appelés
La somme des probabilités de tous les évènements élémentaires est
L'événement formé des éventualités qui sont dans A ou dans B
Le lancer d'une pièce de monnaie, le lancer d'un dé ... sont
If the probability of both a new Wal-Mart and a new Wendy's being built next month is 68% and the probability of a new Wal-Mart being built is 85%, what is the probability of a new Wendy's being built if a new Wal-Mart is built?A) 0.60.B) 0.80.C) 0.70.
Which of the following is an empirical probability?A) For a stock, based on prior patterns of up and down days, the probability of the stock having a down day tomorrow.B) The probability the Fed will lower interest rates prior to the end of the year.C) On a random draw, the probability of choosing a stock of a particular industry from the S& 500 based on the number of firms.
Last year, the average salary increase for poultry research assistants was 2.5%. Of the 10,000 poultry research assistants, 2,000 received raises in excess of this amount. The odds that a randomly selected poultry research assistant received a salary increase in excess of 2.5% are:A) 1 to 4.B) 20%.C) 1 to 5.
A company says that whether it increases its dividends depends on whether its earnings increase. From this we know:A) P(both dividend increase and earnings increase) = P(dividend increase).B) P(earnings increase | dividend increase) is not equal to P(earnings increase).C) P(dividend increase | earnings increase) is not equal to P(earnings increase).
Which of the following sets of numbers does NOT meet the requirements for a set of probabilities?A) (0.50, 0.50).B) (0.10, 0.20, 0.30, 0.40).C) (0.10, 0.20, 0.30, 0.40, 0.50).
Let A and B be two mutually exclusive events with P(A) = 0.40 and P(B) = 0.20. Therefore:A) P(A and B) = 0.B) P(B|A) = 0.20.C) P(A and B) = 0.08.
There is a 60% chance that the economy will be good next year and a 40% chance that it will be bad. If the economy is good, there is a 70% chance that XYZ Incorporated will have EPS of $5.00 and a 30% chance that their earnings will be $3.50. If the economy is bad, there is an 80% chance that XYZ Incorporated will have EPS of $1.50 and a 20% chance that their earnings will be $1.00. What is the firm's expected EPS?A) $5.95.B) $3.29.C) $2.75.
Which of the following statements is least accurate regarding covariance?A) Covariance can only apply to two variables at a time.B) Covariance can exceed one.C) A covariance of zero rules out any relationship.
Econ state Stock perfGood 0.30 Good 0.60 Neutral 0.30 Poor 0.10Neutral 0.50 Good 0.30 Neutral 0.40 Poor 0.30Poor 0.30 Good 0.10 Neutral 0.60 Poor 0.301. What is the conditional probability of having good stock performance in a poor economic environment? A. 0.02B. 0.10C. 0.302. What is the joint probability of having a good economy and a neutral stock performance?A. 0.09.B. 0.20.C. 0.30.3. What is the total probability of having a good performance in the stock?A. 0.35.B. 0.65.C. 1.00.4. Given that the stock had good performance, the probability the state of the economy was good is closest to:A. 0.35.B. 0.46.C. 0.51.5. Consider a universe of ten bonds from which an investor will ultimately purchase six bonds for his portfolio. If the order in which he buys these bonds is not important, how many potential 6-bond combinations are there?A. 7.B. 210.C. 5,040.
If the outcome of event A is not affected by event B, then events A and B are said to be:A) conditionally dependent.B) statistically independent.C) mutually exclusive.