(a) If Z~N(0, 1), find the value of k if P(Z > k) = 0.3015. If X~N(50, 102), find the probability P(45 < X < 62). (c) If X N (24, 32), P(X> a) = 0.974, find the value of a. (b)

Q: Tdf=53T∼Tdf=53, use technology to find the probability P(T>2.16)P(T>2.16): P(T>2.16)=P(T>2.16)=

A: given data for t-distribution df=52test statistics t=2.16here we have to find out the p-value for…

Q: find the probability P(F>1.27)P(F>1.27): P(F>1.27)=P(F>1.27)=

A: It is given that  F ~ F( 11, 10 ) df1 = 11,    df2 = 10 F-score = 1.27

Q: For F∼F(11,5)F∼F(11,5), use technology to find the probability P(F>5.86)P(F>5.86):

A: Solution-: Given: F→F(11,5) We want to find P(F&gt;5.86)=?

Q: You roll a 6-sided die 10 times. Let X be the total value of all 10 dice X = X₁ + X2 + ..+X10 You…

A: To apply the central limit theorem, we need to calculate the mean and standard deviation of the sum…

Q: Let X be the number of times '4' is rolled out of a total of 8 rolls.  What is the probability that…

A:

Q: Suppose X~ Poi(X). What is the probability that X is odd?

A: Let X~Poi( λ) then we have to find the probability that X is odd :Formula Used: The probability mass…

Q: L3. Let X₁,..., X10 P(E(X₁) > > 0.5). N(0, 1). Determine the probabilities P(X₁ > 0.5), P(X > 0.5)…

A: The provided information is as follows:It is given that we have the random variables  which follow a…

Q: r T∼Tdf=5T∼Tdf=5, use technology to find the probability P(−3.09<T<−2.77)P(-3.09<T<-2.77):…

A: given datadf=5we have to find out the p(-3.09&lt;t&lt;-2.77)=?here we use excel function for find…

Q: What is the probability that a randomly selected American adult has never been tested? Show work.…

A: From the given information, N(NT)=134,767 and N(T)=77,789.

Q: What would be the probability of an event 'G' if H denotes its complement, according to the axioms…

A:

Q: Find the probability that x is between four and 10. (Round your answer to four decimal places.) X ~…

A: given data  X~N(5,2)  normal distribution μ = 5σ = 2 P(4&lt;x&lt;10) = ?

Q: Find the probability that x is between four and 13. (Round your answer to four decimal places.) X ~…

A: Given,mean(μ)=5standard deviation(σ)=3

Q: Suppose a jar contains 13 red marbles and 32 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, Red marbles in jar = 13 Blue marbles in jar = 32 Total marbles = 13 +…

Q: 2) Let the joint probability function of X & Y be defined by Pxy(x, y) = Find E(Y|X = 2). What is…

A: First we will create the joint probability distribution table for every value of x and y using the…

Q: Let X ~ Geometric(1/3), i.e., P(X = k) = (1/3)(1-1/3)^k for k = 0, 1, 2, 3, .... What is the…

A:

Q: P(Y'|D') =D (s

A: HERE use given Contingency table and baye's Rule

Q: 4. Do the followings with R: a. Create a plot of the pf of X. b. Create a plot of the cdf of X. c.…

A: 4. Pdf of X: Here, X follows Binomial distribution with n=3 and p=0.4.