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1) An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to check the transmission. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that the auto dealer will need to order more new transmissions?
2) The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds.
3) The Manager of the local National Video Store sells video cassette recorders at discount prices. If the store does not have a video recorder in stock when a customer wants to buy one, it will lose the sale because the customer will purchase a recorder from one of the many local competitors. The problem is that the cost of renting warehouse space to keep enough recorders inventory to meet all demand is excessively high. The manager has determined that if 90% of customer demand for recorders can be met, then the combined cost of lost sales and inventory will be minimized. The manager has estimated that monthly demand for recorders is normally distributed, with a mean of 180 recorders and a standard deviation of 60. Determine the number of recorders the manager should order each month to meet 90% of customer demand.
a 13 foot ladder leans against a house. the ladder hits the house at 12 feet above the ground. what is the distance from the ladder to the house?
A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
Suppose, however, that the setting has changed during the course of production, so that the distribution of the diameters produced is well approximated by a normal distribution with mean 0.399 in. and standard deviation 0.002 in. What percentage o..
Determine the constraints and evaluate maximum or minimum value using Linear Programming Method - How many days should each plant operate to produce 2000 of each part and keep operating costs at a minimum?
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
Find the area of the region bounded by the parabola y = 5x2, the tangent line to this parabola at (1, 5), and the x-axis.
Let f(z)=u+iv be an analytic function, phi(u,v) any function with second order partial derivatives and g(u,v) any function with first order partial derivatives.
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
An airplane is flying on a compass heading of 300 degrees at 450 mph. A wind is blowing with the bearing 205 degrees at 85 mph. Find the component form of the velocity of the airplane and find the actual ground speed and direction of the plane.
An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.
A rebtangular reservior contains 42000 litres of water.find the depth of water in the reservior if its base measures 6m by 3.5m.
which the distance between the planes changes when the southbound plane is 34 km away from the airport and the westbound plane is 21 km from the airport.
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