Apply the Central Limit Theorem to estimate the probability P(N ≤ 15).

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A: Introduction. The Poisson distribution is the discrete type probability distribution. It gives the…

Q: The time to wait for a drive through order at Mcdonald's is uniformly distributed between 5 and 12…

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Q: According to an article, 72% of high school seniors have a driver's license. Suppose we take a…

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Q: wait for a drive through order at Mcdonald's is uniformly distributed between 5 and 12 minutes.…

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Q: find the probability P(F>1.27)P(F>1.27): P(F>1.27)=P(F>1.27)=

A: It is given that  F ~ F( 11, 10 ) df1 = 11,    df2 = 10 F-score = 1.27

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A: To apply the central limit theorem, we need to calculate the mean and standard deviation of the sum…

Q: For X ∼Bin(625, 9/25 ), approximate the probability P (X ≥ 249)

A: Step 1: State the given data: X ∼Bin(625, 9/25)number of favorable cases, x ≥ 249 Step 2: Recall the…

Q: According to an article, 70% of high school seniors have a driver's license. Suppose we take a…

A: population proportion(p)=70%=0.70sample size(n)=200

Q: Calculate the approximate probability that the totalnumber of tickets given out during a 5-day week…

A: mean = 250sd = sqrt(5*50) = 15.8114 P(225 < X < 275)= P((225 - 250)/15.8114 < z < (275 -…

Q: What is the probability that the birthdays of at least two students of a class of size n are at most…

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Q: According to a Gallup poll, pepperoni is the favorite pizza topping for 31% of American children. If…

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Q: The amount of time it takes Emma to wait for the train is continuous and uniformly distributed…

A: From the provided information, The amount of time it takes Emma to wait for the train is continuous…

Q: According to an article, 74% of high school seniors have a driver's license. Suppose we take a…

A: According to the article, 74% of high school seniors have a driver's license. Suppose we take a…

Q: Consider a bag that contains 100 green lego pieces and 100 red lego pieces. Assume you did not know…

A: Given that - A bag that contains 100 green lego pieces and 100 red lego pieces. Assume you did not…

Q: e. Compute the probability that the sales are larger than 1500 gallons on a given day f. Compute the…

A: The pdf of the random variable Y is  fy=ky-1y3     , 1≤x≤2        0             , elsewhere

Q: Use the Central Limit Theorem Find the probability the height of a sample of n = 25 men has a…

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Q: The bus to Union Station leaves every 30 minutes and is uniformly distributed. Find the probability…

A: The probability that a randomly chosen person arriving at a random time will walk between 10 and 15…

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A: From the given information, N(NT)=134,767 and N(T)=77,789.

Q: Find the probability P( Z > 2 ).     0.0228     0.5228     0.9772     0.4772

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Q: suppose you roll a fair six-sided die repeatedly until the first time you roll a number that you…

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Q: / Suppose Jennifer is waiting for a taxicab. A taxicab's arrival time is equally likely at any…

A: jennifer is waiting for a taxicab. arrival time of taxi is equally likely at any time within next 12…

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A: Continuity correction factor table: If   P(X=n) use   P(n – 0.5 < X < n + 0.5)If   P(X > n)…

Q: with A = 12. Applying the Central Limit Theorem, compute ti

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Q: Find the probabilities for: a) P(00.25), h) P(Z>-0.5), where Z is the standard normal random…

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Q: THE DICE IS THROWN 180 TIMES, THE PROBABILITY THAT THE NUMBER 6 APPEARS FROM 40 TO 45 IS 0.1359,…

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Q: Assume that when adults with smartphones are randomly selected,56​% use them in meetings or classes.…

A: Given,n=5p=0.56Let X=no.of adults use their smartphones in meeting or classesX~Binomial(n=5 ,…

Q: The number of accidents in a certain city is modeled by a Poisson random variable with an average…

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Q: 10) Find the probability P(Z > 1.28) and provide a graph showing your result.

A: The probability that Z > 1.28 is under the curve.

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Q: You randomly throw a dart at a circular dartboard with radius R. It is assumed that the dart is…

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Q: A baseball team claims that the mean length of its games is less than 2.1 hours. State H, and H, in…

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Q: 2) Given X-N (10,9), find the probability for P (9.25 ≤ x ≤12.25)

A: X~N(10,9) Mean(μ)=10 standard deviation(σ)=9

Q: A fair coin is tossed until either the sequence HHH occurs in which case I win or the sequence THH…

A: According to the question, a fair coin is tossed 3 times. The total number of outcomes = 2^3 = 8.…

Q: Use the probability tables to find P(-1.5 < z < 1.5) P(z < -1.77) P(-0.16 < z < 0.87)

A: Standard Normal distribution

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Q: A cashier starts the day with $550. There are 100 customers during the day. The amount of money each…

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