The random variable X has a probability density function given by: k 1

Q: company has this probability of daily sales of a perishable product: Volume 100 150 200 250 Pr...

A: For 90% service level Service factor 1.27  

Q: An experiment consists of rolling a die until a 3 appears. List the elements of an event E, that eve...

A: Let A denotes any other number on die.  Then  3 can appear on the first roll then first element is 3...

Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has a = 60 an...

A: As per guideline plse mention Question number... otherwise post separately. Sol for Q44.given below

Q: least two of the firends will meet on the same day for a showing? ne day ne:

A: HERE given, three friends plans to go to new movie Opening  some day next week (any day Monday- Sund...

Q: QUESTION An Internet Service Provider opens 10 new accounts per day, on average. Let X be a random v...

A: We have given that  Poisson probability distribution.  P(X=x) = e-λ*λx/x!    , X= 0 , 1 , 2......  7

Q: What is the probability of rolling, on a fair dice a number greater than 4?

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Q: Expected values and Binomial distribution 9. A Random Variable X can take only two values, 1 and 2; ...

A: Let X be the random variable having probability mass function is,  X 1 2 P(X=x)  0.8 0.2 The...

Q: In a certain raffle, you are asked to choose six numbers from 1 to 55. You win the jackpot prize if ...

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Q: A normal probability table uses the standard normal curve to determine areas of probability by the u...

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Q: Let X be a continuous random variable with the following cumulative distribution function: x 2 Then ...

A: We have given that  Cumulative distribution function. F(x) First i want convert cdf to pdf  Differen...

Q: A simple random sample of the age of 8 employees of a corporation is recorded. Assume that the popul...

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Q: Time left 0:57:32 Toll Brothers is a luxury home builder that would like to test the hypothesis that...

A: We have given that  Sample size n =25 Variance ?2 =160000 Standard deviation =390 Level of significa...

Q: The probability of a defective bolt is 2. Find (a) the mean and S.D. for the distribution of defecti...

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Q: Suppose that we have a fuse box containing 20 fuses, of which five are defective. If 3 fuses are sel...

A: Given that  Total fuse=20 Defective fuse=5 3 fuse chosen at random 

Q: TOPIC: CONDITIONAL PROBABILITY 5) A family has three children. Assuming that boys and girls are equ...

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Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all...

A: Here is given that mean is 14.4 and standard deviation is 1.1. We will use standard normal distribut...

Q: A recent poll indicated that 42.9% of voters approve of Mr. Biden's job performance. Suppose 100 peo...

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Q: A box contains 7 red, 3 green, and 2 yellow balls. If one ball is drawn from the box, then what is t...

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Q: QUESTION 3 r=0%, Lisa wants to borrow 100 to open business. Revenue is random y=100 with prob 1/2 an...

A: r=0% P=100 Y1=100 & p(y1) =1/2 Y2=200&p(y2)

Q: ) Jim and Paula (husband and wife) sit in the two seats on the far left is b) Jim and Paula end up ...

A: Here Given Four married couple purchased theater tickets and seated in a row consisting of 8 seats o...

Q: The following phenotypes and numbers were observed as the progeny of this test cross: Unbanded, brow...

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Q: Construct a 98% confidence interval to estimate the population mean when x= 131 and s = 34 for the s...

A: We have given that  Sample mean = 131 Sample standard deviation s=34  

Q: (a) Find the probability that the number picked is between 8.5 and 9.2. (b) Find the probability tha...

A: Here given continuous probability distribution 

Q: Given the cumulative distribution function of a discrete random variable X: x< 0.2 0.2 0.2 s x< 0.4 ...

A: Farmula used  P(a&lt;X≤b)=F(b)-F(a)  P(X=a)=F(a)-F(a_)  

Q: A bowl contains five red balls, six white balls, and four green balls. In how many ways can six ball...

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Q: A letter is first chosen at random from the word SAMPLE, and then the next letter is chosen at rando...

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Q: Using the t table, give the confidence coefficients for each of the following: а. n %3D 12, 95% conf...

A: Given,α=1-0.95=0.05α2=0.025

Q: A small jet can carry up to 43 passengers and 3 crew members. There is a weight restriction of 9200 ...

A:

Q: 2.A10-stop slot machine has one reel. It has the following number of symbols. Every stop has an equa...

A: First we have to generate the sample. We have to select 100 samples with replacement from the set, S...

Q: In a party, ten chairs are positioned around a circular table. In how many ways can ten people be se...

A: Let, There are ten persons 1,2,3,4,5,6,7,8,9,10. So, total possible seating arrangement in the round...

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random, fin...

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Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?

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Q: Eight coins are thrown simultaneously. Find the chance of obtaining : (i) at least 6 heads, (ii) no ...

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Q: Given the following discrete probability distribution: 0.2 for x = 0.2 0.4 for x = 0.4 f(x) = { 0.1 ...

A: The conditional probability is defined as P(A | B) = P(A ∩ B)/P(B)

Q: Grand Sun Buffet is a large restaurant chain. After paying for a meal at Grand Sun Buffet, customers...

A:

Q: QUESTION 6 In a deck of Uno cards, there are 76 number cards, 24 action cards, and 8 wild cards. Sup...

A: Given data,Number cards=76Action cards=24Wild cards=8Total no of cards=108Let A be event that you se...

Q: Theorem 1.7.4 x" -le* dx is convergent if and only if n> 0.

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Q: Let {X„} be a time homogeneous Markov Chain with sample space {1,2, 3, 4} and transition matrix P = ...

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Q: The Greek alphabet has 24 letters. How many fraternity names can be made using 1 to 3 letters if:

A: here given there are total 24 greek alpha bet now name can be made using 1 to 3 letters 

Q: 1. In how many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on sitt...

A: We have to find how many ways can 8 students be seated in a row of 8 seats if 2 of the students insi...

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random, fin...

A: Farmula used  nCr=n!/(r!(n-r)!)  r!=r(r-1)(r-2)x....x3x2x1   

Q: Theorem 2.1.5 If A1, A2 ..., An are n (2 2) events, then P U A; |- £ P(A;} – E P(A;N Aj) + £ P(A¡ N ...

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Q: Below is a graph of a normal distribution with mean u=-2 and standard deviation o= 2. The shaded reg...

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Q: The values 25, 26, 25, 25, 25, 26, 39, 41, 90, 101 appear to follow a normal distribution. O True O ...

A: We have given that that data 25, 26, 25, 25, 25, 26, 39, 41, 90, 101. Here, we need to find out that...

Q: Normal distribution is where the mean and median are the same as what? O Z-score Mode Standard devia...

A: Solution-: Normal distribution is where the mean and median are the same as what? (a) Z-score (b) Mo...

Q: 8. A Random Variable X can take only two values, 1 and 2: P(1) = 0.8 and P(2) = 0.2, Calculate the E...

A: Let X be the random variable having probability mass function is,  X 1 2 P(X=x)  0.8 0.2 the...

Q: For a large, top-rated corporation, 92% of employees said the corporation is a great place to work. ...

A: We have given that  Sample size n =10 Population proportion p=0.92  

Q: TOPIC: PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS 4) A toy box contains 12 toys. 8 stuffed ani...

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Q: de fined as F(X) = P(X f(t) for – a <x < a. - t<a

A: Here f(t) is probability density function of x.  Where -a&lt;x&lt;a.