Q4. The components of a 6-component system are to be randomly chosen from a bin of 25 used components. The resulting system will be functional if at least 5 of its 6 components are in working condition. If 15 of the 25 components in the bin are in working condition, what is the probability that the resulting system will be functional?

Q: If m things are distributed among a men and b women, show that the chance that the number of things…

A: Given information: Given that m things are distributed among a men and b women.

Q: (5) If, on the first observation, the system is in state 2, what is the probability that on the next…

A:

Q: A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability…

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Q: A system consists of two branches in parallel, each branch having two compo- nents. The…

A: The given information A = 0.9 B = 0.8 C = 0.7 D = 0.6

Q: Suppose that 65% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and…

A: Let us assume that x% adults consume both coffee and soda.  Let us denote: C=coffee , S=soda…

Q: Q1. A small voting district has 101 female voters and 95 male voters. A random sample of 10 voters…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Q2: Box 1 contains 30 red and 70 white balls, box 2 contains 50 red and 50 white balls, and box 3…

A: The probability that an even Ai (i=1(1)n) will occur given that a event B has already occurred is…

Q: Q6. A package of parts contains 10 parts firom supplier I and 20 parts from a supplier II. If four…

A:

Q: In a M/M/1 model, the average number of customers in the system is 14. Then, the probability that…

A: We have given that  Number of customers in the systems is (Ls)=14

Q: Consider two types of home insurance: theft insurance and carthquake insurance. Each year there is a…

A: Given information: Each year there is a 1% chance that the home will be robbed and a 1% chance that…

Q: In a M/M/1 model, the service rate is 35 per hour, and arrival rate is 14 per hour. Then, the…

A:

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Q: In a mathematics conference attended by 50 members, if 20% speak Arabic, 20% speak English, and 40%…

A: Given that in a mathematics conference attended by 50 members, if 20% speak Arabic, 20% speak…

Q: This problem demonstrates the concept of redundancy, the principle of improving reliability of…

A: Given: S: Event of Hydraulic system Failing P(S) = probability of Hydraulic system Failing…

Q: The components of a 6-component system are to be randomly chosen from a bin of 25 used components.…

A: Given data The components of a 6 component system are to be randomly chosen from a bin of 25 used…

Q: Suppose a couple has four children. Assume that each child is equally likely to be a boy or a girl,…

A: Total number of families are 20. The table of data of different families is, Number of girls 0 1…

Q: Consider two types of home insurance: theft insurance and carthquake insurance. Each year there is a…

A: Given information: Each year there is a 1% chance that the home will be robbed and a 1% chance that…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A:

Q: After all students have left the classroom, a statistics professor notices that four copies of the…

A:

Q: Consider the following system: Determine the probability that the system will operate under each of…

A: a) From the Given Information:

Q: Dolly is randomly selecting a new duo of alpaca to pull her wagon.  There are 5 black alpaca, 7 tan…

A: Probability of an event = Number of event divided by total possible outcomes = n/s

Q: After all students have left the classroom, a statistics professor notices that four copies of the…

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

Q: 6. A box contains x white chocolates and y datk chocolates. Khainul selects a chocolate from the…

A: As Prof. A. N. Goon said, "Event: In probability theory, an event is an outcome or a set of outcomes…

Q: In an office complex of 1100 employees, on any given day some are at work and the rest are absent.…

A: Given information: The number of employees in the office is 1100. The number of employees working…

Q: A small bag of M and Ms contains 7 green, 4 yellow, 5 blue, and 6 brown. If we randomly select a 1st…

A:

Q: Two M&Ms are selected, without replacement, from a group of 12 red M&Ms and 8 yellow M&Ms. What is…

A:

Q: A system consists of four components connected as shown in the following diagram: Assume A, B, C,…

A: We have given a system which has 4 components. We can divide it into 2 sub-systems. Sub-system 1…

Q: Basket I contains 30 black and 70 silver balls, basket II contains 50 black and 50 silver balls, and…

A:

Q: The PMF of the number of components K of a system that fails is defined by (*)(0.2)*(0.8) 4-k…

A: Solution-: We have P(X=k)=4k*(0.2)k*(0.8)4-k ;  k=0,1,2,3,4 ; 0<p<1; q=1-p              =0…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A:

Q: In a M/M/1 model, the average number of customers in the system is 15. Then, the probability that…

A: See the hand written solution

Q: . In testing a florescent light bulb, it is found that 20% of the light bulb fail to complete the…

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want…

Q: In a population of 100,000 consumers, there are 20,000 users of Brand A, 30,000 users of Brand B,…

A:

Q: In a M/M/1 model, the service rate is 37 per hour, and arrival rate is 14 per hour. Then, the…

A: We have given that Arrival rate (lambda)=14  Service rate  (mu)= 37

Q: According to a theory in genetics, if tall and colorful plants are crossed with short and colorless…

A:

Q: The PMF of the number of components K of a system that fails is defined by PK (k) = {() (0.2)*(0.8)…

A: Solution-; Let, K=be the number of components of system that fails Given: The pmf of K is,…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: From the above missing data is : P (A) , P(B) & P(C) For the independent events , multiplication…

Q: Find the probability that in a class of 4 males and 10 females, exactly 1 male and exactly 1 female…

A: We have given that the random variable X that is colour blind follows binomial distribution. For…

Q: 1. Ali will win 0, 1, 2.3 or all 4 sessions. 2. Ali will win at least one session. 3. Ali will win a…

A: If Ali drive 4 sessions, he has a 60% chance of winning. Assuming that the sessions are independent…

Q: Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F…

A: Solution:

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A:

Q: A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom…

A: Given :  In the class of 18 pupils consist of 11 girls out of which 4 are left - handed 7 boys only…

Q: Suppose that during this time of virus, 56% of people outside are wearing face masks. If you walk…

A: From the provided information, 56% of people outside are wearing face masks that is p = 0.56 Sample…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: According to the given information, PA=0.8PB=0.1PC=0.4   The chances of getting stopped by any of…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: Consider the provided question, The transition matrix according to the given data is written as,…

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A: Given Information Box A contains 7 black marbles, 4 white marbles. Box B contains 7 white and 4…

Q: A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: known that 6% of the bulbs manufactured by a business are defective. What is the probability that…

A:

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: Let us write the data in Matrix form   Non-Smokers Smokers 1pack/day or less more than 1pack/day…

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.