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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).
there are three items from which to choose. their volumes are 2,3 and 4ft^3. and the hiker estimates their associated values on a scale from 0 to 100 as 30, 50 and 70,respectively. express the problem as longest route network, and find the optimal..
I will use * to symbolize a partial derivative. For example, u*x denotes the partial derivative of u with repsect to x. Here is the problem, D'Alembert's solution for the one-dimensional wave equation for a semi-infinite string.
suppose a leprechaun gives you a magic penny that doubles every night. How much money would you have after 7 days?
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates for the other endpoint Q.
Probability for rolling a pair of dices, You are rolling a pair of dices, one red and one green. What is the probability of the following outcome?
Find the equation of the Straight line from the given data - Evaluate the equation of the indicated curve, subject to the given conditions,
Decision analysis with sample information/expected value/utility analysis/quantitative methodsProblem:A television network has been receiving low ratings for its programs.
The solution to Linear transformations, A linear transformation L: V -- W is said to be one-to-one if L(v1) = L(v2) implies that v1=v2. Show that L is one-to-one if and only if ker(L) = {0v}.
What is the vertex of a parabola? How do you determine the vertex of the parabola? Demonstrate with an example.
How many satellite radios of each model should be produced each day to maximize Soundex's profit? What is the maximum profit?
In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:
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