A letter is first chosen at random from the word SAMPLE, and then the next letter is chosen at random from the word SET. The two letters chosen are recorded. A is the event that the first letter chosen is a vowel, and B is the event that the second letter chosen is a vowel, and C is the event that the two letters chosen are the same. Find C'n (A U B).

Q: If a car agency sells 50% of its inventory of a certain foreign car equipped with an airbag, find a ...

A: P (X = x) = P(x) = nCx Px (1-P)n-x, x = 0, 1, 2,  

Q: on 16.47. A total of 100 people was surveyed. 60 of them were smokers-40 being male and 20 being fem...

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Q: Example 11. In a study on patients, the following data were obtained. Find the arithmetic mean. Age ...

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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: 4) In Toronto, Canada, 55% of people pass the drivers’ road test. Suppose  that 100 people take the...

A: Given that  n=100, p=55%=0.55 , q=1-p=1-0.55=0.45 μ=np=100*0.55=55 σ=√npq=√(100*0.55*45)=4.9749  

Q: If X has an exponential distribution with probability mass function Sle-Ax, f(x) = P(X = x) = {de, x...

A: Solution-: We have, The probability mass function of X is,  f(x)=P(X=x)=λ*e-λ*x       ;x≥0          ...

Q: Consider a tournament between N teams, each team playing each of the other teams. 1) How many games ...

A: Given information: There is a tournament between N teams, each team playing each of the other teams.

Q: Illustration 16.74. How many throws with a single die must a man haye in order that his chance of th...

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Q: Two dice are tossed. The probability that the sum of each dice is a prime number is: O 9/36 O 14/36 ...

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Q: A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how man...

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Q: probability or drawing standard deck of cards, given that the first card is an ace? The cards are no...

A: Given that the first one is Ace there are a total 51 cards remaining in the deck with 3 Aces , so dr...

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A: Here Given  Mark decided to take short exam which has 10 Questions and each has 4 possible answers.

Q: In how many ways can 7 people line up to pay their electric bills? use permutation or combination in...

A: Given: n = 7  

Q: Following are average high and low temperatures in January for 6 randomly selected cities Here, x de...

A:

Q: Pr(A n B) = 0.1 Pr(A) = 0.2 Pr(B') = 0.5 Hence, fill in the intersection table: A A' В B'

A: It is given that Pr(A∩B)=0.1, Pr(A)=0.2 and Pr(Bl)=0.5.

Q: What is the probability of drawing two aces from a standard deck of cards, given that the first card...

A: There are 13 aces and total 52 cards in a deck.  The probability of drawing first card that is ace i...

Q: Newborn babies: A study conducted by the Center for Population Economics at the University of Chicag...

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Q: In a chi-squared goodness of fit test, the test statistic value was x = 28.44, and the critical valu...

A: Rejection of hypothesis take place when the statistic falls umder rejection region 

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Q: per variance, and standard deviation. It will not just help you to practice your skill but it will g...

A: Given that,  A die is rolled 50 times so n= 50  The probability of occuring any number is 1/6 . p= 1...

Q: In how many ways can you schedule your summer tour to visit the major Italian cities of Roma, Milano...

A: Given information: Schedule for summer tour include visiting the major Italian cities of Roma, Milan...

Q: A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011. F...

A: Given that  By using poission distribution method. 

Q: 3.) DJ: A disc jockey has 9 songs to play. Five are slow songs, and 4 are fast songs. Each song is t...

A: from the given find ( a)(b) and (c)

Q: (i) Find the probability that a randomly chosen small rod has diameter greater than 2.15 cm. (ii) A ...

A: Here given machine produce two types of rod with small and large diameter  For large Diameter μ=2.2 ...

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that they are all ...

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Q: retirement. Carry out an appropriate hypothesis test and see whether there is any difference between...

A: Here use two tail test of comparing 2 proportion 

Q: expected number of times the ball numbered 1 is observed

A: Consider an urn containing 1000 balls. Suppose that the balls are numbered from 1 to 1000. If we dra...

Q: A lottery boX COntal lottery tickets probability red U Tottery ticket is drawn at random, drawn Prom...

A: Note: Please repost remaining sub-parts as I can author only 3 sub-parts as per my policy Given data...

Q: particular fruit's weights are normally distributed, with a mean of 282 grams and a standard deviati...

A: We have given that.   X~N( μ , ?^2 )   μ=282   , ?=24   Z-score =( x - μ )/?

Q: Please create an experiment using dice that consists of 2 actions. Ensure that the probability of th...

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Q: The marginal distributions of two random variables X and Y, together with some values of their joint...

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80 ...

Q: 3.The recommended dosage for a particular medication is 1/3 gram for every 40 pounds of body weight....

A: Let x be the prescribe doctor prescription in  ounces  

Q: In an IT Certification Examination, the mean was 75 and the standard deviation was 5. If Pam z score...

A: Let X be the examination score from normal distribution with mean (μ) = 75, standard deviation (σ) =...

Q: How many ways can 4 men and 3 women be seated on a bench if the women are to be together? use permut...

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Q: Megan has a 100-song playlist on her phone that consists of 25 country songs, 50 rock songs, and 25 ...

A: The number of county songs is 25, the number of rock songs is 50 and the number of rap songs is 25.

Q: In linear models the Variance-Covariance matrix plays key role when estimating the parameters. State...

A: Find the estimate of β and variance of estimate of β  

Q: The random variable X has the probability distribution given in the following table. 2 3 P(X = 1) 0....

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Q: A normal quantile graph is created by breaking the data into different sections based on the probabi...

A: In statistics, a normal quantile plot has a very important role to play. It is mainly used to make c...

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: Alaska is one of the 11 states in the top left cell of the table. California is one of the 15 states...

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have ...

Q: In how many ways can a person select seven party guests from 12 women  if he is to avoid having a pa...

A: Here we will use the concept of Combination

Q: Find the probability that in five years' time : (a) both machines will be performing a usual functio...

A: Here Given two machines A and B  And  Probability their preforming usual in 5 years time P(A)=14=0.2...

Q: 4. The joint PDF of two continuous random variables X and Y is given by fx+y 0<x<1, 0<y<l f(x, y) =-...

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Q: What is the probability that the spinner shown below will stop on a shaded area on the next spin? A)...

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Q: llustration 16.49. There are two series with 5,000 lottery tickets in each. There is only one prize ...

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Q: In rolling a die, the probability of getting odd number is an example of O independent events O mutu...

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

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Q: .311 (Ringers are good.) Next week he plans to throw 350 shoes. Assume that Bill's tosses sat- .267 ...

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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 ...

A: