Consider the following function whose graph is shown ук 0.2 y= f(x) 0.1 0 8 4 10 2 X (a) Explain why the function whose graph is shown above is a probability density function The values of both endpoints of the function are 0. The total area under the function is 1 The integral of the function is 10. The derivative of the function is constant. The highest value of the function is 0.2 (b) Use the graph to find the following probabilities. (Round your answers to three decimal places.) Р(Х < 3) (i) P(3 X 10) (ii) (c) Calculate the mean. (Round your answer to three decimal places.) Let f(x) k(3x - x2) if 0 s x s 3 and f(x) = 0 if x < 0 or x > 3 (a) For what value of k is fa probability density function? k = (b) For that value of k, find P(X > 1) P(X> 1) (c) Find the mean
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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