Let x be a random variable that represents the length of time it takes to complete certification for an Information Technology (IT) program. It was found that x has an approximately normal distribution, with a mean of 250 days and a standard deviation of 11.2 days. a)  What is the probability that it takes between 220 and 275 days for a randomly selected person to complete the IT certification? b)  Suppose 18 people in the program are selected at random. What is the probability that their average time, ?̅, to complete certification is not more than 252 days? write a complete probability statement, draw a corresponding picture, and answer the question.

Q: 10 grams. If you pick one fruit at random, what is the probability that it will weigh between 655…

A: Mean = 676Std. deviation = 10

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A: Given distribution is normally distributed Let, X: Fruit's weights Mean, μ=648 Standard deviation,…

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A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…

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A: Given Mean=23 Standard deviations=4.3 n=15

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A:

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A:

Q: The life, in hours, of a battery produced by company A has a normal distribution with mean 20 and…

A: Introduction: Denote the random variable representing the life (hours) of a randomly selected…

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A:

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Q: Assume that newborn girls have birth weights with a mean of 3022 grams and a standard deviation of…

A: μ=3022σ=716n=100

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A:

Q: A particular fruit's weights are normally distributed, with a mean of 798 grams and a standard…

A: According to the provided information, The mean is 798 grams  The standard deviation is 32

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A: Given: X~N(μ,σ)μ=88σ=6.4

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A: It is given that the mean is 14.3 and the standard deviation is 4.3.

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A:

Q: firm manufactures light bulb whose length of life follows a normal distribution with mean 90 hours…

A: Given data,Mean μ=90sd      σ=2P(86<X<96)=?

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A: We have given that.   X~N( μ , ?^2 )   μ = 64.1 , ? = 2.3   Z-score =( x - μ )/?

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A: We are given,μ = 196σ = 22n = 60

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A:

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A: The question is about normal distribution Given : Popl. mean life ( μ ) = 18000 hrs. Pop. std.…

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A:

Q: 1) The time until recharge for a battery in a smartphone is normally distributed with a mean of 250…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

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A:

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A:

Q: A particular fruit's weights are normally distributed, with a mean of 3/1 grams and a standard…

A: given data normal distribution μ=371σ=11P(386<x<397)=?

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A: Given that: Population mean, μ=649 Population standard deviation, σ=28

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A: normal distributionμ = 26σ = 8.5

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A: Given,a single die is rolled than the possible out comes areS={1,2,3,4,5,6}Let X is the number on…

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A: Solution

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A:

Q: particular fruit's weights are normally distributed, with a mean of 347 grams and a standard…

A: According to the provided information, Mean (μ) = 347 Standard Deviation (σ) = 11 Sample Size (n) =…

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A: Let X be the random variable from normal distribution with mean (μ) = 752 and standard deviation…

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A: Here, µ = 643 and σ = 38

Q: A particular fruit's weights are normally distributed, with a mean of 553 grams and a standard…

A: Mean = 553Standard deviation = 27

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A: We have given that,  Let X be the random variable from normal distribution with mean = 668 and…

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A: Given: X be the fruit’s weights.  follows normally distribution with mean of 378 grams and standard…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.