4 use n= 6 Simpsons Rule

Q: In how many ways can n couples sit at a round table such that no couple is sitting opposite each…

A: The solution is given as follows

Q: Twenty batteries have been sitting in a drawer for 2 yr. There are 4 dead batteries among the 20. If…

A: Now, since there are 4 dead batteries of which only 3 are to be chosen, a combination is used to…

Q: Show that = n. mnZ

A: mZ = set of all integers which are divisible by m mnZ = set of all integers which are divisible by…

Q: A bag contains 12 black and 6 white balls. In how many ways can we draw from the bag groups of 5…

A:

Q: Q2. Count the number of seven-card hands that can be drawn from a standard deck such that the hand…

A:

Q: mbinations are possible? Assume the items are distinct. 7 ite

A: we need 7 items chosen 4 at a time therefore n = 7 x = 4

Q: The quality inspector of a certain factory states that 3% of outgoing products have major defects. A…

A: Given data: n =200 Significance level = 0.05 Given claim: The quality inspector of a certain factory…

Q: Using Venn diagram, differentiate Permutation from Combination of "n" objects taken "r" at a time.

A: Introduction:-  Here we have to explain the difference between permutation and combination if we…

Q: 27. There are 3,200 families with five children each. How ma them are expected to have (a) 3 boys,…

A:

Q: How many 3-digit number greater than 200 can be formed (a) repetition not allowed (b) repetition…

A:

Q: randomly selected ten (10) defendants in a state prison. They have been enced to prison (years) for:

A:

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

A: Given data ,Total no of light bulbs=24No of defective bulbs=5∴No of non-defective…

Q: Using the extended pigeonhole principle, show that if there are 30 students in a class, then at…

A:

Q: In a manufacturing unit for electronic chips, Unit manufactures chips that are either defective…

A:

Q: 3. A consumer testing agency wants to evaluate the claim made by a manufacturer of discount tires.…

A: Null hypothesis: Null hypothesis is the statement about parameter of population. Alternative…

Q: A bag contains 8 red and 5 white balls. Two successive drawings of 3 balls are made such that (i)…

A: Probability with replacement : For issues where the outcomes are returned to the sample space,…

Q: 7 evaluate the Cauchy pri

A: Given,            ∫0∞1x6+1dx=

Q: 29. In how many ways 4 different balls be distributed in 5 boxes so that all the balls are not put…

A: To find the total number of ways that 4 different balls be distributed in 5 boxes so that no box…

Q: A poll conducted on the proposed bonus plan for employees indicated that 40% of all female employees…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION

Q: The Zombies are back!! In a second community, where 1,800 individuals live, a zombie problem began…

A: Step 1:   Given, total population =1800 Residents died and come back as zombies by the end of first…

Q: 2. The quality inspector of a certain factory states that 38 of outgoing products have major…

A:

Q: Q4// In how many different ways can eleven cakes be distributed among three kids such that each kid…

A: Given that there are 11 cakes. We can distribute 11 cakes among 3 kids with given condition as…

Q: If 7 coins are tossed, in how many ways can it happen that 5 coins fall tails?

A:

Q: A lottery selects 2 digits from 0-9 without replacement. What is the probablilty that all 2 digits…

A:

Q: 3. A light bulb manufacturer finds that 4% of the bulbs it makes are defective. The quality control…

A: We will calculate percentage of 700 out of 15500 if it becomes 4% then we can agree.

Q: n order to conduct an​ experiment, 5 subjects are randomly selected from a group of 40 subjects.…

A: Given data, Total number of subjects n=40 Number of randomly selected subjects r=5 How many…

Q: 61. In how many ways can 4 pizza toppings be chosen from 12 available toppings? 62. At a baby shower…

A: we have to find no. Of possible ways to select .

Q: How you do compute the probablity that in a room of 150 people, 2 people have the same birthday?

A: Given total number of people in a room = 150Total number of days in a year = 365First person can…

Q: the degrees of freedom in the follow statistical statement χ2 (2, N = 67) = 6.72, p = .021

A: The Chi-square test is a test for categorical variables which determines whether there is a…

Q: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be selected,…

A: Given data: 40 yellow balls and 40 blue balls are in a single bag. If 5 random balls would be…

Q: sume that you have 9 mice in the cage: 3 white males, 3 gray females, and 3 gray males. Two se are…

A:

Q: How many student ID numbers can be made by 4 random digits (zero cannot come first) followed by the…

A: WITH REPLACEMENT There are in total 10 digits starting from 0 to 9. So, the first place in a student…

Q: how many positive intergers less than 1150 are multiples of 8, 5, 3. using the principles of…

A: Floor Function: The floor function , also called the greatest integer function or integer value,…

Q: Assume you are rolling two​ dice; the first one is​ red, and the second is green. Use a systematic…

A:

Q: 4. How many different arrangements are there of the letters in the word "success" and how many have…

A:

Q: 4. Detemine the value of every varlable in the hombus below. 3+2

A:

Q: How many combinations are possible? Assume the items are distinct. 19 items chosen 19 at a time…

A:

Q: 55. A quality control inspector found 12 defective cell phones in a shipment of 75 cell phones.…

A: 240 defective cell phones expected in shipment of 1500 cell phones.

Q: A bag contains 7 black and 9 white balls. In how many ways can we draw from the bag groups of 4…

A:

Q: 4 Osin20 d0

A: ∫0π4θsin2θdθintegration by part…

Q: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A:

Q: revealed that 76% of drivers now refra e drivers were randomly selected and a record the outcomes.…

A: Given: n=3 probability of refrain of driver using cell phones is 0.76

Q: A bag contains 5 black and 8 white balls. In how many ways can we draw from the bag groups of balls…

A:

Q: 10. 24 of 118

A:

Q: A bingo machine has balls numbered from 1 to 75, and uses a physical process to randomly select 1 of…

A: Given, In a bingo game, balls numbered 1 to 75 are placed in a bin. Balls are randomly drawn and not…

Q: use Simpsons rule to approximate Take n=6 and h=1

A: To approximate the value of the integral  ∫−221−3xdx Using Simpson's rule with h=1 and n=6.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.