Suppose Z is a normal random variable with a mean of zero and a variance of 1. Calculate Pr(2.16 < Z < 2.99). Round your answer to three decimal places, e.g. 0.753.

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Q: Problem 2) For the following random variable X. x 0}. c) Find E[X|B]. d) Find Var[X|B].

A: Farmula used  V(X)=E(X2)-(E(X))2

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Q: 8.12 Let X₁,..., Xn be i.i.d. with density Ce-, f(x 01,02) = [C₁₂², ifa 20 if x < 0 a) Calculate the…

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Q: 2 Suppose that Y₁, Y₂, .. Yn denote a random sample of size n from a normal dis- tribution with mean…

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Q: Fifteen students score the following on their math test. 46, 98, 24, 75, 83, 92, 68, 70, 88, 65,…

A: The following  fifteen students  score on their math test  is . 46, 98, 24, 75, 83, 92, 68, 70, 88,…

Q: 2030 2020 2010 2000 1990 1980 1970 1960 1950 0 Metal Generated 5000000 10000000 15000000 20000000…

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A: Given y=-3.176x+124.355 ,r=-0.748, x=150

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Q: Find the area to the right of a z-score of z=-1.82. -0.0344 0.4828 0.9656 0.0344

A: given data  standard normal distributionZ~N(0,1)find area to the right of Z = -1.82. P(Z&gt;-1.82)=…

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A: a) From the given graph, The function is, fx=x29 From the X-axis, the range for X is 0 to 3. Let us…

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Q: b. Obtain the standard deviation of the random variable. 0= (Round to three decimal places as…

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Q: X is a normally distributed variable with mean μ = 35 and standard deviation σ = 5. Find a) P(x 21)…

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A: A B C total male 16 19 14 49 female 20 11 2 23 total 36 30 16 80

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A: Let S be the sample space  Let p be the probability of getting 2

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A: Given that.   X~N( μ , ?)   μ=792    , ?=103   Z-score =( x - μ )/?

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Q: The residuals for 10 consecutive time periods are given in the following table. 8 Time Period…

A: From given data we have : Time Period Residual 1 10 2 8 3 6 4 4 5 2 6 -2 7 -4 8…

Q: 7. Twelve identical letters are to be placed into 4 mail- boxes. (a) In how many ways can this be…

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Q: You are testing the null hypothesis that there is no linear relationship between two variables, X…

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A: Given that x = 524.800,   y = 303.660,   sx = 14.429,   sy = 11.200,   r = 0.9662  give the equation…

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Q: Suppose P(C)=0.048, P(M and C)=0.044, and P(M or C)=0.524. Find P(M). Hint: P(A and B) = P(AUB) P(A…

A: P(C)=0.048P(M∩C)=0.044P(M∪C)=0.524P(M)=?

Q: 1. A. B. Scores on a recent Statistics final exam in a large class were normally distributed with a…

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Q: Find the sample size needed to estimate the mean age of movie patrons such that it can be said with…

A: Formal for sample size       n = ( z * Sigma) ^2 / (margin of error)^2

Q: d. When the number of trials for a binominal distribution application becomes large, would…

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Q: A binomial probability experiment is conducted with the given parameters. Compute the probability of…

A: given data n = 11p = 0.15P(x≤4) = ?here x follows binomial distributionP(x=X) = nCxpxqn-x

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Q: In a completely randomized experimental design, 11 experimental units were used for each of the 3…

A: Let N be the unit  k be the number of treatment N=11, k=3

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A: From given data we have  n=55 Since n&gt;30, we can assume normality by central limit theorem.

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A: Correlation shows relationship between two variables (independent and dependent)

Q: Use the grouped data formulas to find the indicated mean or standard deviation. The speeds of a…

A: Data given Class Frequency 30 - 39 6 40 - 49 15 50 - 59 51 60 - 69 15 70 - 79 13

Q: 12. Cards: Suppose you and a friend are playing cards and you are each dealt 4 cards. You have a 10,…

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Q: What are the values of a in accordance to Z table: P[-1.55 1.23] = a

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Q: c. What is the probability that a ball bearing is above the upper specification limit? (Round to…

A: It is given that  Mean, μ = 0.713 Standard deviation, σ = 0.004 Upper specification limit = 0.73

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Q: Teen drivers (those aged 15-19) spend an average of 45 minutes behind the wheel each day. Assume…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 12.5 X~N (45, 12.5)

Q: The following data represent the minimum waiting time (in seconds) for a sample of twenty customers…

A: Data is given for 20 customers  We have to construct grouped frequency table and we have to…

Q: If the expected return on the market is 8% and the risk free rate is 4% and the expected return is…

A: Expected return on the market=8% Risk free rate = 4% Expected return= 12%  Market risk premium=?

Q: A pencil and two biros cost K1.80. Two pencils and a biro cost K1.20. What is the cost of; a) one…

A: Let p denotes pencil and b denotes biro.