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A bias coin is tossed four times. If probability of head in a single toss is 0.61, find the probability of
i. at most 1 head.ii. at least 2 heads.b. Suppose X is a binomial random variable with n = 10 and p = 0.5,findi. mean and variance of X.ii. P(X = 5).iii. P(X <= 4).
Determine the mean oil production with 95 percent confidence
Calculate the operating cost and probability values
How much should he invest in each to maximize his return? Assume the investment returns are as expected.
Is a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph?
Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went to 46 students and only 2 lettered in all sports, how many students lettered in two of the three sports?
Prove the the center of gravity of a lamina in the shape of a parallelogram is at the point of intersection of the diagonals and that it is the same point as the center of gravity of four particles two of mass m at one pair of opposite vertices an..
find the probability that his or her birthday is not in May. If a person is randomly selected, find the probability that his or her birthday is not in May.
We flip a fair coin and then draw a ball from the first or second urn depending upon whether the outcome was heads or tails respectively. What is the probability that the outcome of the coin toss was heads, given that a white ball was selected.
Determine the dean's optimal strategy. The dean of the School of Business at Northern Connecticut State University has been approached by a government agency in Hunan Province, China, to provide MBA training to a group of 30 midlevel officials
A family made an investment for 1 year that earned $7.50 simple interest. If the principal had been $25 more and the interest rate 1% less, the interest would have been the same. Find the principal and the rate.
Estimate the area under the graph of f(x)=2sinx between x=0 and x=pi/2 using five approximating rectangles of equal withs and right endpoints as sample points.
Of the first 90 customers, 44 selected chicken, 23 selected roast beef, 13 select steak, and 10 selected fish. Should the manager revise his estimates? Use = 0.01.
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