5.80 Show that these facts are true. Use the definition of binomial coefficients to show that each of the following facts is true. Then restate each fact in words in terms of the number of ways that k successes be distributed among n observations. can (1) = 1 for any whole number n ≥ 1. (a)

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A: Given n=10 Confidence interval=95% Df=n-1=10-1=9

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A: Given: The Head of production at Amiba private limited needed to examine the key determinants of…

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A: Given information: Age Girls Boys 8 5 47 9 5 46 10 48 44 11 46 42 12 44 39 13 42 38…

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A: 160169152167164163160163169157158153161165165159168153166158158166 Data is given above.

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A: The mean is 12 and standard deviation is 3.9.

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Q: (9) You are dealt a hand of three cards, one at a time. Find the probability that you get no black…

A: total number of cards in a standard deck = 52you dealt a hand of three cards, one at a time.

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A: (1).First we calculate sample standard deviation for the above data set:

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A: Givensample size(n)=81Mean(x)=3454standard deviation(s)=2528confidence level=90%

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A: Given : Claim : At most 30% of people support the death penalty.

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A: The hypothesized mean is 41 minutes.

Q: A research report presents the results of the ANOVA as follows: F(2, 27) 5.36, p < .05. Based on…

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Q: Fast-Food Bills for Drive-Thru Customers A random sample of 40 cars in the drive-thru of a popular…

A: GivenMean(x)=16.68standard deviation(σ)=4.89sample size(n)=40confidence level=98%

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A:

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Q: Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120…

A: From the given information, the mean is 120 and the standard deviation is 5.6.

Q: Let X ∼ N(2, 9). Compute P(X ≥

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A: It is given that  Favourable cases, X = 224 Sample size, n = 264

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A:

Q: You roll a fair die six times. What is the probability that you roll all 5's? A) 1 B) 0.167 C) 1.2…

A: Given -Roll a fair die six times -probability that you roll 5's=?

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A: Given  p=10.6%, n=75

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A:

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A: GIVEN DATA NORMAL DISTRIBUTIONμ = 47750σ = 5680

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A: GivenMean(μ)=4standard deviation(σ)=1.8

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A:

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A: As per bartleby guidelines we can answer only first 3 subparts and rest can be reposted

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A: Given data is9,9,9,8,10,9,7,2,11,10,6,4,11,9,8,8,12,10,7,5,12,6,4,3,12,9,9,7,10,7,7,5sample…

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A: Given notation  s=sample standard deviations σ=population standard deviations

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A: Paralysis No Paralysis Total MightyMed Group 15 45 60 Placebo Group 25 35 60

Q: According to insurance records, a car with a certain protection system will be recovered 94% of the…

A: given data n= 300p = 0.94here np(1-p) = 300(0.94)(1-0.94) = 16.92&gt;10∴we can use normal…

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A: Using the data to find mean, median and standard deviation

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A: Given that  Sample size n =100 Sample mean=45.67 Sample standard deviation =12.30

Q: If one randomly selected runner is timed, find the probability that this runner's time will be…

A: It is given that  Mean, μ = 20 Standard deviation, σ = 2.3 Sample size, n = 9