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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.
before 1918 approximately 60 of the wolves in the new mexico and arizona region were male and 40 were female. however
a sub-system assembly consists of a combination of three components each with a dimension of 3.44 5.21 and 4.36 inches
hardware store sells house numerals. It has large quantities of the numerals 3, 5 and 8 but is out of all the others. How many different house numbers, with no more than three digits, can be made from these numerals?
Luis rides his bike around Trail A once and Tara rides her bike around Trail B twice. Who rode the longest distance and by how much? Show all work for credit.
Paola purchased an office building on January 5, 2009, for $450,000. $30,000 of the price was for the land. On September 25, 2011, he sold the office building. What is the cost recovery deduction for 2011 rounded to the nearest dollar?
an equilateral triangle has vertices at 00 and 60 in acoordinate plane. what are the coordinates of the third vertex?
Let ? be a set, and G a subgroup of the group Sym(?) of permutations of ?. Let ω ∈ ?, and let G_ω denote the stabilizer of ω in G.(a) If H is a subgroup of G such that H acts transitively on ?, show that G = HG_ω.(b) If G acts transitively on ?, show..
1. Maria is a hostess at a local restaurant. When she earned $8 per hour, she worked 35 hours per week. When her wage increased to $10 per hour, she decided to work 40 hours. However, when her wage increased again to $12 per hour, she decided to cut ..
the time needed to roast a chicken depends on its weight. allow at least 15 minlb for a chicken weighing up to 6 lbs.
five years ago you bought a house for 151000 with a down payment of 30000 which meant you took out a loan for 121000.
Why is it important to be able to remove parentheses? Why is it important to be able to combine like terms? Provide examples that illustrate both of these processes.
A Norman window has the shape of a rectangle capped by a semicircle (see sketch below). What is the length of the base of a Norman window of maximum area if the perimeter of the window equals 9?
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