The boxes produced by a machine have weights that are distributed normally with a mean of 32 grams. Given that the probability that the weight of a box is more than 45 grams is 0.046, find the probability that its weight is less than 28 grams.

Q: Show E(X)

A: Here given joint distribution of x and y

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A: Given that.   X~N( μ , ?^2 )   μ=120     , ?=12   Z-score =( x - μ )/?

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A: Given x~N(0,1)

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A: f(x,y)=(x+y)/21 ; x=1,2,3 and y=1,2

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A: GivenMean of three per 20 minutesλ=3 per 20 minutesLet "x" be that no of calls he…

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Q: 3. HX-N(u =12,0-4), what is the value of k in the figure? A 12 B. 6 C 4 ID. 2

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A: For the given f( x) find the required probabilities

Q: You obtain a sample of size n = 276 in which there are 162 successes. What is the test statistic for…

A: here given, n = 276,  x = no of success  = 162  sample proportion  = p ^ = 162276 = 0.586956 = 0.59…

Q: 2. Suppose a jar has only four coloured jelly beans: Blue, Purple, Red, and Yellow, in the ratio…

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A: Introduction: It is required to identify the correct probability distribution of the random variable…

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A:

Q: AutoSave O Of MT131 TMA April_2022 O Search (Alt+Q) Yasser Ahmed Abozeid YA File References Mailings…

A:

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A:

Q: 25. A pair of dice is rolled. What is the probability of getting a. a total of 6 or 8? b. a total of…

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A: * SOLUTION : -   * Given that,

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A: Given Information: No. of Red balls in the jar=3 No. of Yellow balls in the jar=2 No. of Blue balls…

Q: a) Determine the cumulative distribution function of flange thickness. b) Determine the proportion…

A: here thickness of flange is uniformly distributed between 0.95 and 1.05 mm a = 0.95 mm b = 1.05 mm

Q: . In a binomial distribution with p=0.02 and n=70, what is the actual probability of three success?…

A: p =   = 0.021- p = 1 - 0.02 = 0.98n= 70 X ~Binomial(n, p) X follows the Binomial (70 ,0.02)The PMF…

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A: As per our guidelines we are suppose to answer three sub parts. Given,no.of green balls=5no.of…

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A: Solution

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A: According to bartleby expert guidelines we can answer only first three subparts. Rest can be repost.

Q: 39. How many ways can 12 students be seated around a circular table?

A: We need to find, in how many ways can 12 students be seated around a circular table.

Q: Medical researchers developed a test that determines whether a person has a particular disease. The…

A: From the provided information, P (D’|N) = 0.91 and P (D|N’) = 0.79 P (N’) = 0.09

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A:

Q: The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of…

A: Given that  X~Normal(μ = 65 , ? = 9.9)

Q: An advertisment claims that 639% of customers are satisfied with a certain bank, What is the…

A: Given that n=490 , p=63.9%=0.639  , q=1-p=1-0.639=0.261

Q: An article suggests that substrate concentration (mg/cm3) of influent to a reactor is normally…

A: Mean(µ) = 0.30Standard deviations (σ) = 0.07X ~ N (µ, σ )= N(0.30, 0.07)

Q: A bag contains 4 blue marbles and 5 red marbles. If two marbles are drawn one after the other…

A: The bag contains 4 blue marbles and 5 red marbles.

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A:

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Q: im a high school graduating class of 140 students, 45 are on the honor roll. of these, 39 are going…

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A: Given,sample size(n)=37sample mean(x¯)=82.7standard deviation(σ)=28.6H0:μ=75H1:μ&gt;75α=0.10

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A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Your neighbor has 2 children. He picks one of them at random and comes by house; he brings a boy…

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Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

A: Given that,  X &amp; Y are two random variables for which the joint probability mass function (pmf)…

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A:

Q: The average number of calls received by an operator is 10 calls per day. Find the probability that…

A: Given that  The average number of calls received by an operator is 10 calls per day. Find the…

Q: In a preparation test, past data showed that 40% of the students came unprepared. In a sample of 8…

A: We have given that p = 40% = 0.40 n = 8 X follows the Binomial (8, 0.40)The PMF of the Binomial…

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A: Let A1, A2, ... , An be n mutually exclusive and exhaustive events with P(Ai) &gt; 0 for all i = 1,…

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A:

Q: Lengths of metal rulers produced by a machine are normally distributed with a mean length of 30 cm…

A: Mean(µ) = 30Standard deviations (σ) = 0.1X ~ N (µ, σ )= N(30, 0.1)

Q: Ex. 1. A contractor purchases a shipment of 30 computers. It is assumed that, the number of…

A: Given that  A contractor purchases a shipment of 30 computers. The number computers with some non…