3. Let X denote the amount of time a randomly selected student needs to finish this test and suppose th the cdf of X is given by: 0, x² 0 2. Estimate P(X < 1) P(0.5 < X < 1) The pdf of X, f(x) The expected value and the variance of X а. b. с. d.

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A: Basics:   Mean x=ΣxnStandard deviation is given by:  S.d=Σx2-nx2n-1

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A:

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A: Mean of binomial distribution is given by, mean= np mean= 60× 0.4  mean= 24.0

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A: X~Bino(n=10, p=0.5)

Q: and let Consider a random variable X with the following distribution r 13 4 7 8 P(X=x) 0.2 0.25 0.1…

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A:

Q: Find f0.01f0.01 for FF distribution with (55,77) degrees of freedom. f0.01

A: The given degrees of freedom is (55, 77).

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A: The given linear regression equation is given as Temperature = 15.307 + 0.004*(CO2)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.