Differentiating the distribution function of a weib

Reference no: EM131015141

1. Let W = a drum tare weight in pounds (i.e., the weight of the empty drum). Suppose W "' N(58, 0.13).

(a) Find P(W > 58.5).

(b) Find P(57.8 W 58.2).

(d) Find the 10th percentile of W, and explain what it stands for.

2. Use the fact that an N ( µ, cr2 ) random variable Y can be written as Y = er Z +µ to show that Qy (p ) = crQz (p ) + µ.

3. By differentiating the distribution function of a WEIB( 8,,6) random variable (equation (4.3.28) ), show that its density is given by equation (4.3.29).

Reference no: EM131015141

Questions Cloud

Problem regarding the machine set value : Machines used to fill food cartons are usually set to slightly overfill the boxes so that the contents will not weigh less than the advertised net weight. This takes into account the fact that the actual weight of each box varies somewhat from th..

Show the nth degree polynomial that minimizes : Let n=0{Φn(x)}∞ be a family of orthonomal polynomials with respect to the weight function w(x). Show that the nth degree polynomial that minimizes.

How do copayments and deductibles reduce risk : What are the advantages and disadvantages of ABC relative to the step-down method of cost allocation?

Normal probability plot of the data : 1. Using the hardness data from the odor data set odor .txt, do the following. (a) Make a normal probability plot of the data. (b) Do the data appear to be normally distributed? Explain.

Differentiating the distribution function of a weib : By differentiating the distribution function of a WEIB( 8,,6) random variable (equation (4.3.28) ), show that its density is given by equation (4.3.29).

Discuss whether entering a transaction in a journal : A journal is used to chronologically record all transactions of a business. These transactions are then posted to the ledger. Consider the steps involved in recording transactions in the books of account and respond to the following: Discuss wheth..

What is income for block tax and bookkeeping services : During July, Block's Tax and Bookkeeping Services performs services and bills customers for $44,000. On July 31, 2008, customers had paid $13,000 of the amount owed. What is income for Block's Tax and Bookkeeping Services for July, 2008: Applying c..

Parameter of the exponential distribution : Construct a histogram for these data. The component lifetimes are supposed to be exponentially distributed. Does this seem like a reasonable assumption? Explain. Estimate the parameter of the exponential distribution and explain what it means.

Represent the lifetime of a component in a piece : 1. Let X represent the lifetime of a component in a piece of lab equipment, and suppose that X is exponentially distributed with a mean of µ = 1000 hours.

User Account

All Pages