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Skee Ball Refer to Exercise 4. Find the mean of X. Interpret this value.

Short Answer

Expert verified

μ=23.8

Step by step solution

01

Step 1. Given information.

Score1020304050
Probability0.320.270.190.150.07
02

Step 2. The mean of X. 

The expected value (or mean) is the sum of the product of each possibility r with its probability P(X= x):

μ=ΣxP(X=x)=10x0.32+20x0.27+30x0.19+40x0.15+50x0.07μ=23.8

On average, the score on a randomly selected roll of the ball is 23.8.

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Most popular questions from this chapter

Time and motion A time-and-motion study measures the time required for an assembly-line worker to perform a repetitive task. The data show that the time required to bring a part from a bin to its position on an automobile chassis varies from car to car according to a Normal distribution with mean 11seconds and standard deviation 2seconds. The time required to attach the part to the chassis follows a Normal distribution with mean 20seconds and standard deviation 4seconds. The study finds that the times required for the two steps are independent. A part that takes a long time to position, for example, does not take more or less time to attach than other parts.

(a) Find the mean and standard deviation of the time required for the entire operation of positioning and attaching the part.

(b) Management’s goal is for the entire process to take less than 30seconds. Find the probability that this goal will be met. Show your work

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Geometric or not? Determine whether each of the following scenarios describes a geometric setting. If so, define an appropriate geometric random variable.

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