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Suppose we have two weighted coins, one of which comes up heads with probability 0.3, and the other of which comes up heads with probability 0.8. Unfortunately, the coins are otherwise identical, and we have lost track of which is which. Suppose we flip a randomly chosen coin 14 times and let /V be the random variable giving the number of heads seen. If in the first 3 flips we see 2 heads, what is the conditional expected number of heads in the 14 flips?
A researcher in industrial relations notices that many men who receive high salaries are tall of stature. She decides to investigate the question
what is the probability that a binomial random variable x having parameters n 500 and p 0.025 takes a value greater
a standardized achievement test provides a distribution of scores with a mean of 200 and a standard deviation of 25. a
Use the Binomial Calculator to find the probability that the number of heart attacks in the drug group is at most 56
If the number of heads turns out to equal one of your 11 numbers, you win a dollar. which 11 numbers should you pick, and what is your chance of winning? explain.
draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed.
Find the following probabilities for a standard normal random variable Z:- P(Z ≤ 21.4).- P(Z ≤ 1.4).- P(21.4 ≤ Z ≤ 1.4).
prediction interval for the regression line.using the age and sick days data from table below find the 98 prediction
assume xngam1n and let znxn-nsqrn. show that zn converges in distribution to zn01.hint show that mzntexp-sqrnt -
a) The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 ch
a) Find the range of the data set? (round to the nearest tenth) b) Change 46.5 to 69.6 and find the range of the new data set (round to the nearest tenth)
Assuming x is normally distributed, use the following information to compute a 90% confidence interval to estimate.
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