Exercise 1. Suppose I have a dictionary with 5000 words in it, and I decide to generate a 5-word "sentence" by choosing each word at random from the dictionary (all words are equally likely). b) IfEis the event "my sentence starts with the word the", how many outcomes are there inE? c) What isP(E)?

Q: Assume we roll four six-sided dice. (The dice are distinct, i.e. each is a different color.) Use…

A: Assume we roll four six-sided dice. (The dice are distinct, i.e. each is a different color.) Use…

Q: Find the exact mean value of X using the lowest common denominator and find the exact variance of X…

A: The pdf of random variable x is given by, fx=40-x800  ; 0≤x≤40      0      ; otherwise

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A: In the given context, the correlation coefficient is a negative real number (i.e. -0.25), which…

Q: Compare P(TWELVE|AE) and P(AE|TWELVE). Interpret what your answer means. Are TWELVE and AE…

A: 5. The data about award by grade are given.

Q: xpected number of games that are played when i = 2. Also, s ximized when p = 1/2.

A: Let A indicate that team A wins and B indicate that the other team B wins. Since game will end when…

Q: 1(V) 10. Finding confidence interval. A poll on a certain policy reports 62% approval with a margin…

A: 10) p = 62% = 0.62 Margin of error (E) = 4% = 0.04  12)  Margin of error (E) = 5% = 0.05 Confidence…

Q: The mean in standard normal distribution coincides with z=1. True False

A: It is needed to discuss about the standard normal distribution.

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A:

Q: 4. A store has found that 10% of the items it sells are returned after Christmas. On one day, a…

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Q: Here is a bivariate data set. x y 26 139 32 -53 3 130 40 48 59 25 55 23 40 82 27 106 34 143 52 112…

A: The data shows the bivariate data set.

Q: Assume that when human resource managers are randomly​ selected, 41​% say job applicants should…

A: From the provided information, 41​% say job applicants should follow up within two weeks that is p =…

Q: Fill in the rest of the joint distribution so that X and Y are independent. There are two possible…

A: Fill in the rest of the joint distribution so that X and Y are independent. There are two possible…

Q: The SAT Verbal Test in recent years followed approximately a normal distribution with a mean of 460…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Based on the data shown below, calculate the correlation coefficient (to three decimal places)…

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Q: Suppose that 50% of all young adults prefer McDonald's to Burger King when asked to state a…

A: Here, p = 0.5 (for both McDonald's and Burger King preferences) and n = 8.

Q: Suppose X₁, X2, ..., Xn are i.i.d expoential random variables with parameter A. Let Z = EX₁. Show…

A:

Q: A group of people were asked if they had run a red light in the last year where 188 responded "yes,"…

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Q: The Philippine Statistics Authority SA) reports that about million Filipinos aged 15 years and older…

A: Mean=μ=32, Standard deviation=σ=12.48

Q: Show on two seperate Venn diagrams : P(A U B^d) = 0.9 P(AU B) = 0.6

A:

Q: Assume below les have pulse rates of 760 beats per minute and af 1 adult female is randomly…

A: a) Suppose the random variable x defines the pulse rate of females.

Q: (c) A coffee machine is regulated so that it discharges an average of 200 milliliters per cup. If…

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Q: Q20 Let the following be a probability distribution- 2 0.24 P(X=x) Calculate a) E(X²) 1 0.16 0.35 b)…

A: The probability distribution is given as follows: x 1 2 3 4 PX=x 0.16 0.24 0.35 0.25

Q: At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the…

A: It is given that, the probability that it will rain is, P(Rain) = 0.07.

Q: Suppose x~N(4,6), what is the approximate probability of x>5 P(X>5) Round to four decimals

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Q: A sales rep for a national clothing company makes 4 calls per day. Based on historical

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Q: Rework problem 5 from section 3.1 of your text, involving events E, F, and G in a sample space S.…

A: The given probabilities are PrE=0.55,PrF=0.65,PrG=0.6,PrE∩F=0.4,PrE∩G=0.35,PrF∩G=0.45.

Q: Find the mgf of random variable X which is uniformly distributed with an interval (-a, a) and hence…

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A: Population standard deviation(σ)=76.4 Margin of error(E)=0.5 confidence level=95%

Q: 8. The table below shows the results of a survey on a new government policy. Survey Results B. C. D.…

A: for against no opinion total men 37 29 9 75 women 43 38 8 89 total 80 68 17 164…

Q: Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho:…

A: H0 : P=0.8 H1 :P >0.8 n=125 X=105 and α=0.1

Q: he weights of the fish in a certain lake are normally distributed with the mean of 18 lb and a…

A: Answer: From the given data, Mean (μ) = 18 Standard deviation (σ) = 12 X follows normal…

Q: lease round all answers to 2 decimal places. Given the table below, use your calculator to find the…

A: X 7.8 2.6 2.1 3.5 5.9 7.1 Y 24.6 14.7 4.2 7.8 19.1 17.2

Q: Find the probability of drawing heart from Standard deck of cards and suit after then drawing the…

A: A standard deck consists of 52 (= n) cards.

Q: In a deck of playing cards, there are 52 cards consisting of 4 suits (hearts, diamonds, clubs, and…

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Q: (a) Suppose that we roll two six-sided dice and let X and Y be two numbers that appear. Find the pmf…

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Q: Directions: Find the probability that a randomly chosen point lands in the shaded region. 15 cm

A: Find the probability that a randomly chosen point lands in the shaded region.

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Q: The larger our standard error of estimates, a. the larger the R² b. the smaller the tratio c. the…

A: The large standard error of estimates  a. the larger the R2 b. the smaller the tratio c. the smaller…