Questions and Problems: Show your solutions. 1. A man and a woman got married and decided to have 5 children. a. How many probable combinations will there be if the couple wants to have 4 girls and 1 boy? b. If the couple decides to have another child, what is the probability that this child will be a boy?

Q: Deandre won a charity raffle. His prize will be randomly selected from the 9 prizes shown below. The...

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Q: "A Gaussian (20, 9) random variable has a variance of" O a. 20 O b.9 О с. 81 O d.3 The expected valu...

A: Given that;  Gausian distribution i.e. Normal distribution ( 20 , 9)  By using normal distribution a...

Q: Use your histogram to find the probability of your system being in a state where all of the molecule...

A: For N=4, From the histogram   Frequency 0-0.2 50 0.2-0.4 250 0.4-0.6 390 0.6-0.8 230 0....

Q: Situation: You volunteered to be part of the medical mission in your barangay and in-charge to get w...

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Q: An industrial engineer is analyzing the structural strength of a concrete aggregate. Structural stre...

A: Confidence interval for mean is given by, (x̄-z* σ/√n, x̄+z* σ/√n) z at 95% confidence interval is 1...

Q: COMBINATION 1. How many ways committees of four members can be formed from 10 architects?

A: We have given that,  1. How many ways committees of four members can be formed from 10 architects?  ...

Q: Determine whether the given problem/situation isn a combination or not. Write C if it is a combinati...

A: here use definition of combination  combination is used for counting in which object's order does no...

Q: The conditional expectation E[X|Y] = «(Y), where (y) E(X |Y = y), is a random variable (function of ...

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per th...

Q: Suppose E, F1, F2 and F3 are events from a sample space S. a) If p(F1)+p(F2 )+p(F3)> 1, is it possib...

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Q: A bag contains 9 Cherry Starbursts and 21 other flavored Starburts. 12 Starbursts are chosen randoml...

A: Given,no.of cherry starbursts=9no.of other flavored starburts=21Total no.of starburts=30

Q: It is claimed that the average household in Thunder Bay uses more than 1170 kWh of electricity each ...

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Q: Assume that human body temperatures are normally distributed with a mean of 98.23°F and a standard d...

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Q: NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of ...

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving fir...

Q: Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of...

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Q: a) What is a number of different words from all letters of word MATHEMATICS can be spelled? b) What...

A: Given the MATHEMATICS. Using this word we have to solve the indicated problems. 

Q: A branch of a certain bank has six ATMS. Let X represent the number of machines in use at a particul...

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Q: QUESTION: An experiment consists of selecting three items from a box containing several items. The ...

A: A sample space is a set that lists all possible outcomes of an experiment while an event is a subset...

Q: . ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴀʀᴇ ᴅɪꜱᴄʀᴇᴛᴇ ʀᴀɴᴅᴏᴍ ᴠᴀʀɪᴀʙʟᴇꜱ ᴇxᴄᴇᴘᴛ: ᴀ. ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ɢɪʀʟꜱ ɪɴ ᴀ ᴛʜʀᴇᴇ-ᴄʜɪʟᴅ ꜰᴀᴍɪʟʏ...

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other par...

Q: 8. It is usually written using a capital letter, is a variable that assigns a numerical value to eac...

A: Solution: Random variable:  Random variable is a function defined on a sample space Ω and its range ...

Q: Calculate using the normal approximation the probability that exatcle five people will have type O b...

A: Given : There are 50% of the population that have type O blood  and 16 people were selected.

Q: Instruction: Research what are the fie (5) type of  probability and discuss each one of this; also p...

A: Solution:  5 Types of probabilities 1) Mathematical or Classical Or priori probability Define: if a ...

Q: The results of an investigation by an expert on a fire accident are summarised below: (i) The probab...

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Q: 3. The ages of participants in a drama workshop are normally distributed with mean 18.5 years and st...

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Q: Catherine buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 5 s...

A: Given that, Total number of cookies = 7+4+5+5 = 21 Number of chocolate chip cookies = 7 Number of pe...

Q: Check your understanding A. Find P(X72) 213 PCX)I O25 58113 6-13 |0:10 0-13 C Find P(xL7 be B. Find ...

A: A)Given P 2 3 5 8 13 P(x) 0.25 ? 0.15 0.10 0.13

Q: Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of...

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Q: The probability that a contractor will get a plumbing contract, is 2/3 and the probability that he w...

A: The set is the collection of well defined objects. Each objects in the set is known as element. The ...

Q: 15. Arun wants to send invitation letter to his 7 friends. In how many ways can he send the invitati...

A: There are 7 friends and 4 servants.We can see that each of 4 servantscan invite each of 7 friends, i...

Q: Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of...

A:

Q: For any three events A, B, & D. Such that Pr(D)>0. Prove that Pr(A U B|D) = Pr(A|D) ÷ Pr(B|D) - Pr(A...

A: Given that, there are three events A, B & D. We have to prove that, Pr(A U B|D) = Pr(A|D) ÷ Pr(B...

Q: The manager of a new coffee shop is collecting information for how often cars arrive at its drive-th...

A: Given information- We have given a Poisson distribution. We have given that the manager has counted ...

Q: Suppose that there are two types of cars, good and bad. The qualities of cars are not observable but...

A: Buyer values good type of cars at $5,000. Buyer values bad type of cars at $3,000. The probability o...

Q: d. all cards are of a different suit? e. there are at least two cards of the same suit?

A: Here use combination 

Q: On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of...

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Q: A. Coin Let heads (H) = poetry  Let tails (T) = science fiction or biography  Toss coin three tim...

A: Introduction: It is required to identify the suitable simulation design to estimate the probability ...

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the num...

A: The license plates must consist of two letters followed by four numbers.

Q: The probability distribution of the daily demand for a product is shown below. Demand Probability 0 ...

A: The table shows the probability distribution of the daily demand for a product.

Q: A survey found that women's heights are normally distributed with mean 62.8 in. and standard deviati...

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Q: The incubation time for a breed of chicks is normally distributed with a mean of 29 days and standar...

A: GivenMean(μ)=29standard deviation(σ)=3

Q: Determine the probability density function for the cumulative distribution function shown below.

A: Given:  cdf of random variable x is   F(x) is given then find probability density function of x ??

Q: Below is NOT a probability distribution. Choose TWO reasons why It is not considered as probability ...

A: Solution:  The conditions for the valid probability distribution are . 1) All the probabilities of t...

Q: A psychologist is experimenting with white and black mice which have been divided into 2 groups. In ...

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Q: In how many ways can 12 jury members be seated in a court?  b) What is the probability that Ashley w...

A: Here use different method for possible no of arrangement 

Q: Problem 1 Construct a probability distribution for the data and draw a graph for the distribution. T...

A: Given that, For the given data, we need to plot a graph between probabilities and N selected items. ...

Q: There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a...

A: 3. From the given information, there are 3 coins in a box. One is a two-headed coin, another is a fa...

Q: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed f...

A: Here use combination 

Q: Supposed that the data below show the number of registered vehicles and the number of vehicles invol...

A: Given data is Type of vehicle Registered units  Involved in accidents  Total Motorcycles/Tricyc...

Q: UNLOCK ME: Unlock the hidden word by matching supplying the letters that corresponds to the number 9...

A: We are asked to identify the word that corresponds to the numbers given below each figure. The lette...

Q: In a college, 60% of the students are boys. A sample of 4 students of the college, is taken, find th...

A: Given that, In a college, 60% of the students are boys. A sample of 4 students of the college, is ta...

Q: The probability that a contractor will get a plumbing contract, is 2/3 and the probability that he w...

A: We have given that,  Let probability that a contractor will get a plumbing contract P(A) = 2/3 and p...