Binomial distribution with success probability
Two random variables are independent and each has binomial distribution with success probability of 0.4 and two trials.
a. Find the joint probability distribution.
b. Find the probability that the second random variable is greater then the first.
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The ship leaves port and travels due east 15 nautical miles, then varies course to N 20 degrees W and travels 40 more nautical miles. Determine bearing and distance to port of departure.
The amount of time that surveillance camera will run without have to be reset is random variable having exponential distribution with β = 50 days. Find out the probabilities that such a camera will.
For a particular flight with 300 seats, find out the number of tickets which can be sold by the airline company so that the probability of overbooking flight is around 31%.
Find maximum area of the square with side s tilted, inscirbed in the square with side 1 hint from book(use pythagorean theorem- 4 congruent triangles are made with sides 1-t and t and hypo. s)
Assume that we flip a fair coin till either it comes up tails twice or we have flipped it six times. Determine the expected number of times we flip the coin?
A point is randomly selected with a rectangle whose vertices are (0, 0), (2, 0), (2, 3), and (0, 3). What is the probability that the x-coordinate of the point is less than the ycoordinate? (Hint: Draw the picture)
Due to market demand, farmer will grow twice as much wheat as corn. He has assigned $63,750 for total cost of growing all crops. How many acres of every crop must he plant?
i) Determine what force should be exerted to the small piston when a weight if 1650 lb is to be lifted? ii) Determine the mechanical benefit of the hydraulic jack?
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