od6 Exc2 #2&5 2. Nine students booked a room in a hotel. They should be accommodated in two 3- bed and one 2-bed room. In how many ways can they be accommodated? 5. An 8 digit password is made of digits 91235564. How many possible passwords are there?

Q: Lydia's aunt Rose left her P5,000. Lydia spent P1,000 on her wardrobe and deposited the rest in an a...

A: Given that : r = 6.9% n = 5 years P = 5000-1000 = 4000 Formula : A = P(1 + r/n)nt

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A:

Q: Consider the experiment of rolling two dice. Let A, B and C be 3 events defined by A = {First die re...

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A: So It is Given that there are total 8 disk and one disk is selected randomly

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A: License plates have four letters followed by two numerals Therefore, 26 options 26 options 26 opt...

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A: Let ,D=damaged bag U=undamaged bag P(A)=0.70P(B)=0.30P(D/A)=1-0.80=0.20P(D/B)=1-0.85=0.15

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A: Given : Current Price = P 10,000 Sales Price = X Probabilities = Y P 5000 0.4 P 10,000 0.2 ...

Q: For the following problem, calculate: EV(d1) EV(d2) Best EMV EVwPI

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: An urn that contains 100 balls, 15 red balls, 25 green, and the other 60 are blue. a. Six balls from...

A: The answer is given using the basic concept of probability and with use of permutation and combinati...

Q: What will the final amount be in 1 1/2 year if P8,000 is invested at 9.2% compounded monthly.?

A: Given that : Principle = $8000 Rate = 9.2 % per year = 9.2% / 12 per month Time = 1 (1/2) year = 18 ...

Q: 3. (Do not evaluate your answers in this question.) A Mon-Sat work timetable schedules one-hour time...

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or i...

Q: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?...

A: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?...

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A: We have find four button...

Q: Question 7 Let X and Y be two jointly continuous random variables. Let Z = X? + Y?. Show that %3D Fz...

A:

Q: The number of false alarms were counted each month at a number of sites. Test the hypothesis that fa...

A: It is needed to test, whether false alarms are equally likely to occur in any month.

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A:

Q: 7. A spinner from a board game randomly indicates a real number between 0 and 10. The spinner is fai...

A: Probability Density Function: A continuous function f(x) is said to be the probability density funct...

Q: ux.ュメトXス1いスコ-Y Palx, utェッズ)-。 入2コメ; +メュ-」+5- メレ 2 d、しズuメッ]= xit Xzメ]-6 fnd in Ganeral rm.

A:

Q: The U.S. Census Bureau computed the proportion of U.S. residents who lived in each of the four geogr...

A: Solution: Given information: k= 4  Categories  n= 80+129+209+118 = 536  total observation   α=0.05 L...

Q: Use the theoretical probability formula to solve the problem. Express the probability as a fraction ...

A: A Standard deck consists of 52 cards. n(S)=52 P(Card is Ace or 8)=?  

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A: We have to  find out given probability. 

Q: :) Suppose X1, X2 ~ Uniform(0,2) are independent and Y =2X,+X2 . Find P(Y < 2). h:1:

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Q: What is the optimal value of the OF for min Z = 4X1 + 3X2, subject to X1 +2 X2 >= 6?

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A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally likel...

Q: a- Determine whether there exists a binary code with codeword lengths (n1, n2, n3, N4) = (1, 2, 2, 3...

A: a)

Q: Some automobiles have four-button locks. To gain entry, push each of the four buttons, in a particul...

A: To find: How many different six-digit codes are possible?  

Q: Consider a collection of envelopes consisting of 3 red envelopes, 2 blue envelopes, 2 green envelope...

A:

Q: (a) Let X and Y be two jointly continuous random variables with joint probability density function r...

A: Hello! As you have posted 3 different questions, we are answering the first question. In case you re...

Q: e lifetime of a machine part has a continuous distribution: Osxs40 (x) ={ (10+x)² else Calculate the...

A: Note: As per the instructions we are allowed to solve three subparts at a time. Kindly repost the ot...

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A:

Q: Q2: A-80% of the students in a college have an excellent in statistics examination. If 500 students ...

A:

Q: (D.0) (0.0) (4,3) (5, 1) (D.0) (D.0) (6,2) (0.0) (6,4) (7. 2) (0.0) (O.0) (7,4) (D.0) (8,2) (4, 4) (...

A:

Q: Let A and B be events with P(A) =, P(B) =" and P(AO B) = What is P[(AOB)U(BnA)]? 9/10 19/30 4/5 O No...

A: Given:

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Q: Let A and B be two independent events with P(A) = 1/4 and P(A U B) = 2 P(B) - P(A). Find: P(B)= Choo...

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Q: Explain how to identify the minimum sample size needed to construct a confidence interval for the pr...

A: Sample size for proportion is given by

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A: If the 1st letter must be S or T how many 4 letter codes can be formed?

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Q: If 4% of the bottles produced by a company are defective.determine the probabilkities of sample that...

A: Given,n=100p=0.04q=1-p=1-0.04=0.96x=no. of defectivesx~Binomial(n=100,p=0.04)P(X=x)=Cxn px qn-x   ; ...

Q: Select the probability p for each histogram Bin( 20, p )

A: The probability p for the binomial distribution is given below:

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Q: Find the probability of getting either a total of 8 or a 5 when rolling a pair of dice once

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A: Answer:4

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.