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Question 1- Let random variable x represent the number of heads when a fair coin is tossed three times. Show all work. Just the answer, without supporting work, will receive no credit.
a. Construct a table describing the probability distribution.
b. Determine the mean and standard deviation of x. (Round the answer to two decimal places).
Question 2- Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opponent's serves. Assume her opponent serves 10 times.
a. Let X be the number of returns that Mimi gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
b. Find the probability that that she returns at least 1 of the 10 serves from her opponent.
If the probability of an event is .857, what is the probability that the event will not occur?
The preferred stock of Gapers Inc. pays an annual dividend of $6.50. What is the price of the preferred stock if the required return.
Determine the expected value of X
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
The following data represent the length (in months) of time it takes for a tumor to reoccur after chemotherapy. Use five classes to determine the class width.
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
the probability of passing english 0.72 and the probability of passing statistics 0.81and the probability of passing both 0.68. what is the probability of pasinng at least one subject or none.
1) ______ Find the intervals on which the functionf(x)=x^(2⁄3) (10-x) is increasing and decreasing. Sketch the graph of y=f(x) and identify any local maxima and minima. Any global extrema should also be identified.
Using points, straight lines and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.
A patio is to be built in the shape of a rectangle. The length is to be 5 feet shorter than 3 times the width. The perimeter of the patio is 190 feet. What will be the dimensions of the patio?
A point on the bank directly across the river is sighted from another point 200 feet downstream at an angle of 67° 13' . Find the width of the river.
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