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Question #1
Four cards are chosen from a 52-card deck. What is the probability that four cards are either face cards or aces? There are 12 face cards and four aces in a deck of cards.
Question #2
You have purchased a used car. Historically, the chance of spending $2,000 in repairs for the car is 72% and the chance of spending $3,000 is 28%. What is the expected value of the amount you will spend in repairs for the car?
Question #3
Foreign soccer leagues often test their athletes for using illegal performance-enhancing drugs. The probability that an athlete has used these drugs is 0.27. The probability that the athlete has used drugs and has been playing for more than five years is 0.19. Find the probability that an athlete uses drugs given that the athlete has been playing for more than five years.
where x, y, and z are numbers that have been smudged and are unreadable. You can, however, read enough of the numbers to definitely conclude that y is strictly less than 2x. What is the distribution of N and why?
Perform a significance test to compare the incidence of lung cancer between 40- to 44-year-old men and women. Report a two-tailed p-value.
Analyse the content, format and language style of the notes. Assess whether, in your view, the notes are suitable for existing and future users. Explain your reasoning.
Use calculus to find the dimension (base and height) and the area of the largest rectangle that can be inscribed in the ellipse x2/144 + y2/16 = 1
There are 7 women and 9 men on a faculty. How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
If the vertices of quadrilateral PEAR are P(-3, 0), E(0, 4), A(5, -6), and R(-1, -4), show, using coordinate geometry, that quadrilateral PEAR is not an isosceles trapezoid.
Find the exact positive value of c if the area between the graph of y = x2 - c2 and the x-axis is 36.
Show that the second column of A is in W.
Convert the equation- d3y/dx3 - 2 · dy/dx - 1 · x · y = 0, and initial conditions y(0) = 1.00279, y'(0) = 1.13313 and y''(0) = -0.17902, into three first order differential equations. Find the formulas for solving this system of equations by: Euler..
How many ways can a group of seven be chosen to work on a project?
the perimeter of a triangle is 195mm.if the lengths of the sides are consecutive odd integers, find the length of each side.
Describe how public key cryptography can be used to produce signed secret messages so that the recipient is relatively sure the message was sent.
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