Break a stick of unit length at a uniformly chosen random point. Then take the shorted...

Break a stick of unit length at a uniformly chosen random point. Then take the shorted of the two pieces and break it again in two pieces at a uniformly chosen random point. Let X denote the shortest of the final three pieces. Find the density of X.

Expert Solution

orchestra answered 1 year ago

Take a stick of unit length and break it into three pieces, choosing the break point...

Take a stick of unit length and break it into three pieces, choosing the break point at random. (The break points are assumed to be chosen simultaneously). What is the probability that the three pieces can be used to form a triangle?

6. Pick a uniformly chosen random point (X, Y ) inside a unit square [0, 1]×[0,...

6. Pick a uniformly chosen random point (X, Y ) inside a unit square [0, 1]×[0, 1], and let M = min(X, Y ). Find the probability that M < 0.3.

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What is the break-even point in unit sales?

Oslo Company prepared the following contribution format income statement based on a sales volume of 1,000 units (the relevant range of production is 500 units to 1,500 units): Sales $ 90,000 Variable expenses 49,500 Contribution margin 40,500 Fixed expenses 33,210 Net operating income $ 7,290 What is the break-even point in unit sales?

Consider a stick of unit length, broken into 3 pieces using the following methods: 1. We...

Consider a stick of unit length, broken into 3 pieces using the following methods: 1. We chose randomly and independently two points on the stick using a uniform PDF, and we break stick at these 2 points 2. We break the stick at a random point chosen by using a uniform PDF, and then we break the piece that contains the right end of the stick, at a random point chosen by using a uniform PDF 3. We break the...

Foot length (in inches) of a randomly chosen adult male is a normal random variable with...

Foot length (in inches) of a randomly chosen adult male is a normal random variable with a mean of 11 and standard deviation of 1.5. Use this information and the z-table to answer the following questions a-j. On average, what is a randomly chosen adult male’s foot length? Let X denote the foot length of a randomly chosen adult male. What is the distribution of X? What is the probability that a randomly chosen adult male’s foot length will be...

(Break-even analysis) Project Accounting Break-Even Point (in units) Price per Unit Variable Cost per Unit Fixed...

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Determine the (a) break-even point in sales units and (b) break-even point in sales units assuming that the selling price is increased to $67 per unit

Nicolas Enterprises sells a product for $60 per unit. The variable cost is $35 per unit, while fixed costs are $80,000. Determine the (a) break-even point in sales units and (b) break-even point in sales units assuming that the selling price is increased to $67 per unit

Suppose you have a reed of length 1 unit. If you haphazardly break this reed twice...

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A charge per unit length λ = +6.00 μC/m is uniformly distributed along the positive y-axis...

A charge per unit length λ = +6.00 μC/m is uniformly distributed along the positive y-axis from y = 0 to y = +a = +0.400 m. A charge per unit length λ = -6.00 μC/m, is uniformly distributed along the negative y-axis from y = 0 to y = –a = -0.400 m. What is the magnitude of the electric field at a point on the x-axis a distance x = 0.271 m from the origin?

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