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1. The king's coinmaster boxes his coins 500 to a box and puts 1 counterfeit coin in each box. The king is suspicious, but, instead of testing all the coins in 1 box, he tests 1 coin chosen at random out of each of 500 boxes. What is the probability that he finds at least one fake? What is it if the king tests 2 coins from each of 250 boxes?
2. (From Kemeny6) Show that, if you make 100 bets on the number 17 at roulette at Monte Carlo (see Example 6.13), you will have a probability greater than 1/2 of coming out ahead. What is your expected winning?
What percentage of the personnel has a salary between $30,000 and $40,000 per year? What percentage of personnel will not exceed $45,000?
Generate three random observations from the uniform distribution between -10 and 40 by using the following random numbers:
A sample of 25 students enrolled in the university indicates that X (bar) = $285.4 and s = $42.20. Using the 0.05 level of significance, is there evidence that the population mean is above $300?
what do we mean when we say that a statistical result is significant? what is the difference between a statistically
Pearson correlation of r = +0.85 indicates that a graph of the data would show ___. Clustered close to a line that slopes up to the right points clustered close to a line that slopes down.
Compute the p-value and interpret its meaning - Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
For each mutual fund, find an interval in which you would expect 95.44 percent of all yearly returns to fall. Assume returns are normally distributed.
a global financial institution transfers a large data file every evening from offices around the world to its london
we roll two six sided dice one with sides 122334 and the other with sides 134568. what is the distribution of the
Also, assume that X = number among 20 randomly selected coffee purchasers who select a national brand, and that the random variable X follows the binomial distribution.a. What is the probably that at most 15 customers choose a national brand?
a government official wants to find out how many people will vote for each party in a coming election. she asks a
worldwide it is understood that iq scores follow a normal distribution. it is assumed that the middle 95 of the
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