1) Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the teams is stronger than the other and wins each game with probability 0.6, independant of the outcomes of the other games. Find the probability that the stronger team wins the series in exactly i games. Do it for i=4,5,6,7. Compare the probability that the stronger team wins with the probability that it would win a 2-out-of-3 series.
2) Suppose in the problem above, that the two teams are evenly matched and each has probability 1/2 of winning each game. Find the expected number of games played.
(See attachment for full question)
Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution. Complete parts (a) through (e).
X 0 1 2 3 4 5 6 7 8
P(x) 0.02 0.04 0.05 0.05 0.11 0.24
Jill wants to do her MBA in Statistics at a B.C. university. She applies to two universities that offer post-graduate degrees in Statistics. Assume that the acceptance rate at University A is 25% and at University B is 35%. Further assume that acceptance at the two universities are independant events.
A) What is the probability
1. Jen will call Cathy on Saturday with a 60% probability. She will call Cathy on Sunday with an 80% probability. The probability that she will call on neither of the two days is 10%. What is the probability that she will call on Sunday if she calls on Saturday?
2. At a parking lot, there are 12 spaces arranged in a row. A ma
For questions 1-5 use the random variable X with values x = 2, 3, 4, 5 or 6 with P(x) = 0.05x.
1. Determine P (x = 4).
a. 0.05 b. 0.10 c. 0.15 d. 0.20
2. Find P (x >= 4).
a. 0.60 b. 0.45 c. 0.75 d. 0.55
3. What is P (2 < x <= 5)?
a. 0.70
A multichoice test in which each question has four choices, only one of which is correct. Assume that nine questions are answered by guessing randomly. What is the probability of getting exactly three correct answers.
1. A financial analyst estimates that the probability that the economy will experience a recession in the next 12 months is 20%. She also believes that if the economy enters a recession, the probability that her mutual fund will increase in value is 20%. If there is no recession the probability that the mutual fund will increase
1. The weight of a one cubic yard bag of landscape mulch is normally distributed with a mean of 40 pounds and a standard deviation of 2 pounds.
a. What is the probability that a bag will weigh less than 40 pounds?
b. What is the probability that a bag will weigh between 38 and 40 pounds?
2. Accord
What special problem do open-ended questions have? How can these be minimized? In what situations are open-ended questions most useful?
- Under what conditions would you recommend the following:
- Probability sample
- Non-probability sample
Shaquille O'Neal is not recognized as good free throw shooter. Career average is 0.532 (53.2%). Suppose in a game Shaq takes 5 free throws.
a. What type of probability distribution is this? Explain (Binomial???)
b. What are the mean and standard deviation for the number of made free throws?
c. What is the probability
