What is P(-2.528 < T < 2.528) when T has a t-distribution with 20 df?

Q: Given P(z < Z0) = 0.3228, find the z-score Z0

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Q: Assume that X has the distribution N (10, 4), find:   P (Z > - 3)     P (11.36 < X < 16)

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 4 X~N (10, 4)

Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Given Information:  Mean (u)  = 62 kg  Standard Deviation (s) = 9 kg  Sample mean (x) = 63.8 kg…

Q: Use R and your calculator to calculate the following. (a) P(X > 7), X has an F-distribution with 5…

A: (a). Find the value of P(X &gt; 7), where X has an F-distribution with 5 numerator df and 10…

Q: If X is normally distributed with a mean of 6 and a variance of 25, P(|X-6|<5) P(|X-6|<10)…

A: As per guideline expert have to answer first three subparts only dear student please upload other…

Q: Today, the waves are crashing onto the beach every 4.9 seconds. The times from when a person arrives…

A: Let X be the random variable uniformly distributed between 0 and 4.9 seconds.Denote X as the time…

Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…

A: Given: n1 = 9 Children. X1 = 2.7 Hours. n2 = 9 Adults. X2 = 2 Hours. α = 1% = 0.01

Q: 6. A manufacturer of cotter pins knows that 5 percent of his product is defective. If he sells pins…

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Q: Find the distribution function which corresponds to the probability distribution defined by f (x) =…

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Q: because all airline passengers do not show up their reserved seat, an airline sells n = 125 tickets…

A: Let X be the random variable representing the number of passengers, out of 125, showing up to board…

Q: Let X be a random variable with a normal distribution with a mean of 100 and a standard deviation of…

A: We have given that  Mean(µ) = 100Standard deviations (σ) = 20X ~ N (µ, σ )= N(100, 20)

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

A: Disclaimer "Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Suppose that X has a continuous uniform distribution between 0 and 20. What is the probability that…

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Q: Find a sufficient statistic (in the rigorous sense) for å when X - Pois(1)

A: Step1 An estimator is called sufficient it has has all the information about the population H(x) is…

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

A: Hypothesis testing is conducted for the parameters of the population like population mean,…

Q: normal curve

A: Normal Distribution: Normal Distribution is the probability distribution that is symmetric about the…

Q: 8. For a normal distribution with u = 138.2 and o = 10.3, find the probability o a) P(x > 140) = b)…

A: Let X be the random variable from normal distribution with mean (μ) = 138.2 and standard deviation…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given, The proportion of eligible voters in the next election who will vote for the incumbent is…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Given: μ=0σ=1 The probability of obtaining a reading between -1.582°C and -0.232°C is obtained as…

Q: If the population from which your samples are taken is not normally distributed, then sampling…

A: The shape of the sampling distribution of difference between sample means depends on the…

Q: X is a discrete random variable such that the possible values are {a, a+1, a+2, ... b-1, b}. The…

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Q: Q1: If the random variable (x) has a uniform distribution on the interval [0,6]. Find: a) P(1 < x<…

A: The probability density function of uniform distribution is given below: fx=1b-a, a≤x≤b0,…

Q: Exercise 3.3-2 If Z has a N(0, 1) distribution, find (d) P(|Z| > 1.93) (e) P(Z < –1.26)

A: d) P(|Z| &gt; 1.93) = P(Z&lt;-1.93) and P(Z&gt;1.93) P(|Z| &gt; 1.93) = 1 - P( -1.93 &lt; Z…

Q: Let x be a random variable that represents the pH of CVS brand water. The mean of this x…

A: The random variable pH level follows normal distribution. We have to test whether the new company’s…

Q: Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives…

A: P(18&lt;X&lt;52)=P(X&lt;52)-P(X&lt;18)=52-05.1-0-18-05.1-0=10.19607843-3.529411765=6.66666≈6.6667…

Q: The amount of time in minutes that it takes for a randomly selected customer to finish checking out…

A: Ans:- Given, X is a continuous uniform random variable on the interval           0 to  5  minutes.…

Q: What is the probability distribution of X when X~B(1,1/

A: Given that X~B1,125 Bernouli distribution: If X~B1,p, then the probability distribution of X is,…

Q: New York is known as "the city that never sleeps." A random sample of 25 New Yorkers were asked how…

A: Given Hypothesis to be tested  : where , μ is the mean number of hours New Yorkers sleep at night

Q: Last month, your company sold 1,000 new watches. Past experience indicates that the probability that…

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Q: Let x be a continuous random variable that is normally distributed with a mean of 123.5 and a…

A: From the provided information, Mean (µ) = 123.5 Standard deviation (σ) = 12.3 X~N (123.5, 12.3)

Q: The volatilities recorded over a 100-day period on the S&P500 are Y1, Y2, ... Y100. Assume that…

A: Introduction :-  Here the distribution of Y is given as uniform over [ 5 , 15 ].  We have to find…

Q: 5) Find the probability that a randomly selected drill will last between 125 and 155 minutes.[ P(125…

A: Given that, The number of minutes that a battery lasts in use on a certain brand's cordless drill…

Q: 2. Use the normal approximation to the binomial with n=10 and p=0.5 to find the probability P(X27)

A: The objective is to use the normal approximation to the binomial with parameters n=10 and p=0.5 to…