Please assist with problems 1,3,4,6 and Sampling Distributions CRAPTER 2 Let 4 b

Question

Please assist with problems 1,3,4,6

and Sampling Distributions CRAPTER 2 Let 4 be the event that one defect defects occurred Find occurred, and B be the 2.8 Chapter Ex PLA)and P(8) For this problem let a 0 and2 Find PtY I. (Hint: Use a picture.) (b) Find and 2 for the distribution. The binomial distribution for p-02 and nis b) PiA and B variable Y bete of defects on a contact lens randomlys sbit. (a) Find the mean b) Assume that the lenses are pr 3. Using the distribution in Exercise 2, let the selected from lensea prog and variance of Y for the shift ently.Wnat is the oduced independently. What is 0.3277 0.4096 0.2048 0.0512 0.0084 0.0003 production line (a) Compute and 2 for this distribution. these values (See discussion ot that five lenses drawn randomly from the durine:.. pvalues agree with those obtained as a function of the parametet p be defect-tree? in Exercise 2, suppose that the lens can be size n7 (See discussion of random variables in Section 2.2.) reworked at a A datacost of $10 are no defects for $20. If there is one defect, it can be system consists of 10 components all aranged in series, each with 4. A systern probability of 0.001. What is the Section 2.2.) probability that the system will falt? Wint See s two components, A and B, to both work belore the system reliability, two duplicate components are to be used. That is, the are more than two defects, it must be scrapped sold. I there net revenue generated during the shift if 100 contactse th e pirodus5. A system requires Suppose that Y is a normally distributed random and X is an independent rand and 5 Find: (a) PIY> 12 andX> 4) b) P(Y> 12 or >4) c) PI 10 and X 1 usefuiness of the standard deviation as a measure of distribution. dispersi(b) PZ-1) 2 Assume the random variable y has the continuous uniform (c) P(O

Explanation / Answer

Solution:-

4) The probability that the system will fail is 0.009955.

Probability of failure = 0.001

Number of components = 10

A system will fail if any one of the components fails, because components are in series.

x = 1

By applying binomial distributiion:-

P(x,n) = nCx*px*(1-p)(n-x)

P(x > 1) = 0.009955.

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