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You are in possession of an unusual 5-sided die. Specifically, the die, which is not evenly weighted, takes on five different values with the following probabilities for each roll: 3 with probability 1/3; 4 with probability ¼; 5 with probability 1/5; 6 with probability 1/6; 20 with probability 1/20 Now suppose that you and your friend play the following game: In each round, you roll a die. If you roll a 4 or 20, your friend gives you a dollar. If you roll a 3, 5, or 6, you give you friend a dollar. A game consists of ten such rounds.
a. What is the probability that you come out even of win money after playing just one game?
b. What is the expected monetary gain or loss to you for playing this game?
it is estimated that 3.6 of the general population will live past their 90th birthday. in a graduating class of 733
A and B are two intersecting sets, and a, b, ab, and x represent the usual symbols for the number of elements contained in the four defined areas of the associated Venn Diagram. Find the values of ab and a if:
wade retail looked at a random sample of 100 invoices from a large population. eight of these contained an error. what
Create a Histogram of the following data:
a companys manufacturing process uses 500 gallons of water at a time. a scrubbing machine then removes most of a
Find the probability of exactly 6 Mexican-Americans among 12 jurors.
now the group is 4500 people and 1000 of them are left-handed. as before eight of them are selected and x - the number
Consider the following data on 20 chemical reactions, with Y = chromatographic retention time (seconds) and X = molecular weight (gm/mole).
Normal population having a standard deviation of 0.04, what is the probability that the mean of a random sample of size 25 will be "off" by at most 0.02?
You may assume the sample data comes from a population that follows a normal distribution. Using a .05 level of significance test the company's claim.
we write the numbers 1 -10 on separate pieces of paper and put them into a box. a number is drawn from the box. find
Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the ..
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