A sample of ten items is selected without replacement from a group of 100 object 40...

A sample of ten items is selected without replacement from a group of 100 object 40 of which are defective. What is the probability that this sample will contain three defective items?

using R for number of defective items in the sample being 0, 1, 2,3, …, 10. Graph the distribution.

Expert Solution

> #we know that x follows Binomial distribution with n=10,p=0.4
> x=0:10
> n=10
> p=0.4
> p=dbinom(x,n,p)
> data.frame(x,p)#distribution of number of defectives
    x            p
1   0 0.0060466176
2   1 0.0403107840
3   2       0.1209323520
4   3    0.2149908480
5   4       0.2508226560
6   5 0.2006581248
7   6    0.1114767360
8   7       0.0424673280
9   8     0.0106168320
10 9       0.0015728640
11 10     0.0001048576
> plot(x,p)

orchestra answered 2 years ago

A sample of ten items is selected without replacement from a group of 200 object 40...

A sample of ten items is selected without replacement from a group of 200 object 40 of which are defective. What is the probability that this sample will contain three defective items? And Solve using R for number of defective items in the sample being 0, 1, 2,3, …, 10. Graph the distribution.

A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement.

A shipment contains 200 items of which 50 are defective. A sample of 16 items from the shipment is selected at random without replacement. We accept the shipment if at most 3 items in the sample are defective. (a) Write down (but do not evaluate) an exact formula for the probability of acceptance. (b) Use a Table to give the decimal value for the binomial approximation of the probability of acceptance. Show your work. (c) Suppose instead that the shipment contains 500 items of...

a random sample size of 100 is selected from a population with P equals 40

if 4 cards are randomly selected without replacement from a deck of cards, what is the...

if 4 cards are randomly selected without replacement from a deck of cards, what is the probability of getting at least one ace ( exact reduced fraction or decimal or round to 3 significant digits)?

A committee will be formed with 4 managers and 3 engineers selected randomly without replacement from...

A committee will be formed with 4 managers and 3 engineers selected randomly without replacement from 11 managers and 16 engineers. What is the conditional probability that engineer Al is on the committee given that engineer Jane is on the committee? Round your answer to three decimal places (e.g. 98.765). Would the answer be ((3/16)x(2/15))/(3/16) ---> (2/15) ----> .1333333

Four numbers are selected without replacement from the set of 1,2,3,4,5,6,7 to form a 4 digit...

Four numbers are selected without replacement from the set of 1,2,3,4,5,6,7 to form a 4 digit number. What is the probability that the number is greater than 5432?

From shuffled deck of cards, 4 cards are randomly selected without replacement from shuffled deck of...

From shuffled deck of cards, 4 cards are randomly selected without replacement from shuffled deck of 52 cards. What is the probability to get at least one ace?

QUESTION Question You have selected 100 sample items from CBA’s accounts receivable population. For this problem...

QUESTION Question You have selected 100 sample items from CBA’s accounts receivable population. For this problem only, assume the total population for accounts receivable is $400,000. Also assume the following invoices were selected. This is only a partial list of population items. Begin your selection with a random starting point of $1,240. Use the following format, listing only those you have selected. Invoice Number Amount Cumulative Balance Requirement Which invoices would you select? Explain your answer. Invoice Number ...

1) 4 ballpoint pens are selected without replacement at random from a box that contains 2...

1) 4 ballpoint pens are selected without replacement at random from a box that contains 2 blue pens, 3 red pens, and 5 green pens. If X is the number of blue pens selected and Y is the number of red pens selected a. Write the “joint probability distribution” of x and y. b. Find P[(X, Y ) ∈ A], where A is the region {(x, y)|x + y ≤ 2}. c. Show that the column and row totals of...

Four numbers are selected without replacement from {1,2,3,4,5,6,7} to form a 4-digit number. What is the...

Four numbers are selected without replacement from {1,2,3,4,5,6,7} to form a 4-digit number. What is the probability that the number is greater than 6543?

Question