Among the students of AUCA, 30% know two foreign languages. Find the mean and the standard deviation of the number of such students among 11 randomly chosen. What is the probability that at most 2 students among them know two foreign languages?

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Q: You draw two cards from a well-shuffled deck of 52 cards, forming a 2-card hand. 1. What is the prob...

A: It is known that Total cards in a deck = 52 Number of aces = 4

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Q: 3. Airline passengers arrive randomly and independently at the passenger- screening facility at Otta...

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Q: The following data represent the respective ages of 20 students pursuing graduate studies: 33       ...

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Q: * P(V(x) <x S E (x)) .

A: Here given x has binomial distribution  With n = 4  P = 1/2

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A: Here draw tree diagram 

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A: Given function is ,f(x)={2(1-x)       0&lt;x&lt;10               otherwise

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Q: Suppose the salaries of teachers in your city are normally distributed with a mean of $50,000 and a ...

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Q: 11. 1 2 3 4 5 P(x) 0.05 0.25 0.4 0.06

A: Note:Please repost remaining questions as I can author only 1 question as per my policyWe know that ...

Q: 2 Assume you fit a logistic regression for binary Y [i.e., replace EY in linear regression by log(EY...

A: question: 2 Assume you fit a logistic regression for binary Y [i.e., replace EY in linear regression...

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Q: The score on a standardized test for a certain year is modeled using the normal distribution shown b...

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Q: Find P(saving patient)

A: here as per guidelines i have calculated first main question kindly repost remaining with note i nee...

Q: What is the probability of obtaining a head in the toss of an unbiased coin?

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Q: Probability P(X) 0.06 Number of Copies X 0.14 2 0.16 3. 0.14 4. 0.12 0.10 0.08 7. 0.07 8. 0.06 6. 0....

A: Solution: Let, X=Number of copies and P(X) =Probability We have given following table: X P(X) 0...

Q: A lot consists of 10 good articles, 4 with minor defects and 2 with major defects. Two articles are ...

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Q: 10.A car insurance company has determined that 9% of all drivers were involved in a car accident las...

A: Given: Probability of success (p) = 9% = 0.09 Number of drivers (n) = 14 Consider, X be the random v...

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likel...

A: Given data, A 12 sided die is rolled Then the sample space is S={1,2,3,4,5,6,7,8,9,10,11,12} What is...

Q: 3. Find the number of words, with or without meane O* ân be formed A. PROBLEM SOLVING: Find the numb...

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Q: Two balls are drawn at random in succession without replacement from an urn containing 4 red balls a...

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Q: The aim of the study is to identify the factors affecting students’ satisfaction and performance reg...

A: With the onset of COVID-19 pandemic and worldwide imposed lockdowns, the online learning systems bec...

Q: 13. When a fair die is tossed, what is the probability of getting an even number? A. % В. 1/2 C. 1/3...

A: We have given,  (13) Fair die is tossed then sample space (s) is,  S = { 1, 2, 3, 4, 5, 6 } Then,  W...

Q: A basket contains 4 bananas, 5 mangoes and 3 avocados. How many ways can 3 bananas, 2 mangoes and 1 ...

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Q: -What is the probability that the second card is an ace if the first card was an ace? -What is the p...

A: We know that Total cards = 52 Number of aces = 4

Q: ᴛᴡᴏ ᴅɪᴄᴇ ᴀʀᴇ ʀᴏʟʟᴇᴅ. ɪꜰ x ɪꜱ ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ᴛʜᴇ ɪᴅᴇɴᴛɪᴄᴀʟ ɴᴜᴍʙᴇʀꜱ ᴏɴ ᴛʜᴇ ᴛᴡᴏ ᴅɪᴄᴇ, ᴛʜᴇɴ ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ʀᴀɴɢ...

A: The outcomes for each of the die is {1, 2, 3, 4, 5, 6}.

Q: A has four shares in a lottery in which there are four prizes and five blanks. B has three shares in...

A: Solution:

Q: 1. Let X be a binomial random variable with a mean of 0.5 and a variance of 0.45. Find P(x≥1). 2.Let...

A: Given1)Let Xbe a random variable Mean(μ)=0.5variance(σ2)=0.45

Q: The life expectancy of a new born kid increases at a rate of 1.5 years for every day the kid is aliv...

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Q: A random variable Y have a distribution with parameter a > 0 and y, > 0 if its density function is g...

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Q: Quartile- Find Me: Find the first quartile, second quartile and the third quartile, given the scores...

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only fi...

Q: If 3/4 of the nursing majors are female, find the probability that 3 out of 7 nursing majors are fem...

A: Let p be the probability that a nursing major is female. Given that p = 3/4 = 0.75 Let X denote the ...

Q: 2. Find the number of words, with or without meaning. that can be formed with the letters of the wor...

A: According our policy we can answer only first question for remaining please repost the question.   

Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

A: 1st person can choose any of the 10 seats. 2nd person can choose any of the 9 seats now available an...

Q: In each problem, please indicate what kind of permutations is involved, then solve. Show ypur comple...

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Q: 2. 10, X = 7.8, s = 5.1, n= 10

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Q: In an examination 30% of the students have failed in Mathematics, 20% of the students have failed in...

A: Let  A be the event that students failed in mathematics. B be the event that students failed in chem...

Q: Stephen does not like yogurt very much, but he loves apples. Since both make a good snack, Stephen's...

A: The refrigerator stocked with 5 yogurts, 2 green apples, and 3 red apples every day.

Q: A survey investigates the relation between the economic activity and gender. Let the random variable...

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Q: The diagram shows a spinner made up of a piece of card in the shape of a regular pentagon, with a to...

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Q: Find the probability of drawing two Kings from a pack of cards in two successive draws, the card dra...

A: Solution is given: