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Of the students at a certain college, 50% regularly attend the football games, 40% are first-year students, and 40% are upper-class students who do not regularly attend football games. Suppose that a student is selected at random.
(a) What is the probability that the person both is a first-year student and regularly attends football games?
(b) What is the conditional probability that the person regularly attends football games given that he is a first-year student?
(c) What is the conditional probability that the person is a first-year student given that he regularly attends football games?
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
A coin is biased to show 38% heads and 62% tails. The coin is tossed twice. What is the probability that the coins turns heads on the second toss?
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
Acme can produce DVD players at a cost of $140 each and market analysis estimates that if the players are sold at x dollars apiece, consumers in a region will buy approximately 2000e^-0.01x machines per week.
Optain the academic standards for kindergarten for three states (available on state education websites). Compare the standards in a single category such as math or reading and describe how the standards are similar or different across the states.
Find the five month moving average
Evaluate the maximum height of the firework from the given function - Evaluate the maximum height of the firework.
Suppose a family plans 6 children, and the probability that a particular child is a girl is 1/2. Find the probability that the 6 child family has exactly 2 girls.
Provide one example to show how you can use the Expected Value computation to assess the fairness of a situation (probability experiment). Provide the detailed steps and calculations.
Find the equation of the line that passes through the points (3,1) and (2,-1). Write the equation in slope-intercept form.
Use z score to solve the probability. Fluctuation in the prices of precious metals such as gold have been empirically shown to be well approximated by a normal distribution when observed over short interval of time.
Give a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant.
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