Sum of a pair of die 2 3 4 5 6 7 8 9 No. of appearances 5 7 1 8 1 2 6 10 8 11 7 12 1 In a game of throwing a die twice, 50 games were played and the frequency of the sum of each pair was listed below; find the mean, variance, and the standard deviation of the data:

Q: Marks Number of Students 2 5 3 6 4 4 5 1 6 15 7 20 8 10 9 3 1. Construct an…

A: Given data; Marks(x) Number of Students(f) 2 5 3 6 4 4 5 1 6 15 7 20 8 10 9 3

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A: Given that  Mean = 165 Standard deviation = 10

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Q: find the margin of error of a 99% confidence interval for the mean score of all student

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A: Ho: X=0 H1: X=/0 hence  t=(x-X)/S.E.(x)  =(0.9-0)/0.15  =6 t-statistic value=6

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A: Given that.   X~N( μ , ?^2 )   μ=8     , ?=6   Z-score =( x - μ )/?

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A: It is given that, E(X1)= 17 E(X2)= 22 Var(X1)= 12 Var(X2)= 16 Cov(X1,X2)= 9 Var(Y)= Var( 9X1+10X2 )…

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A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: Answer to Problem 6TY The area under the standard normal curves between z = -2.165 and z = -1.35 is…

A: Required: To find the area between z=-2.165 and z=-1.35

Q: {10.2}   Suppose that events E and F are​ independent, ​P(E)=0.7​, and ​P(F)=0.6. What is the P(E…

A: Given that  ​P(E)=0.7​, and ​P(F)=0.6 P(E and F)=P(E∩F) If E and F are independent.  P(E∩F)=…

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A: Given: P=$2,300r=4%=0.04 annuityn=12×15=180

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Q: The

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