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Suppose you have $100,000 to invest in stocks. If you invest $1000 in any particular stock your profit will be $200, $100, $0 or -$100 (a loss), with probability 0.25 each. There are 100 different stocks you can choose from , and they all behave independently of each other. Consider the two cases: (1) invest $100,000 in one stock. (2) Invest $1000 in each of 100 stocks.
a) For case (1) find the probability that you profit will be $8000 or more.
b) Do the same for case (2).
Using a significance level of 0.03, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court.
Based on the 2x2 contingency table posted below calculate the chi square test to see if the result rejects the null hypothesis. You can calculate this long hand or use a standard calculator such as found at this site
a certain typing agency employs two typists. the average number of errors per article is 1.5 when typed by the first
Suppose we flip two fair coins and roll one fair six-sided die. (a) What is the probability that the number of heads equals the number showing on the die?
Based on what you have learned in the previous exercise, what do you expect to find for the percent hit with a large number of trials if the confidence level
The most probable number of heads in two coin flips is one head. Can you think of most probable values of random events
What is the expected value of the sampling distribution model for the proportion of 480 freshmen that will return to the same school for their sophomore year?
Let {X{t), t ≥ 0} be a (continuous-time) stochastic process whose state space is the set {0,1}. Suppose that the process spends an exponential time with parameter yl in a state before making a transition to the other state, where A is a discrete r..
Event 1 consists of drawing an ace and a king when you draw two cards from among the thirteen spades in a deck of cards and event 2 consists of drawing an ace.
a recent survey asked american adults how often they volunteered for charity. in the sample of 1974 people 51 said more
From this information, is it possible to find the percentage of farmers who use chemical fertilizers OR crop rotation (or both)? Why or why not?
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles.
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