Show that for p = 1 degrees of freedom a Student-t random variable has the Cauchy distribution.
Show that for p = 1 degrees of freedom a Student-t random variable has the Cauchy...
Assume W is a random variable with a Student t-distribution. Find the following probabilities a.) P[0 ≤ W ≤ 4.303] when W has 2 degrees of freedom b.) P[-2.447 ≤ W ≤ 3.143] when W has 6 degree of freedom c.) P[-1.310 ≤ W ≤ 1.310] when W has 30 degrees of freedom d.) P[-1.96 ≤ W ≤ 1.96] when W has ∞ degrees of freedom Make sure you show your work.
Let t be a t-random variable. P(t>a) 0.025 and 12 degrees of freedom. Find a. P(t < a) 0.05 and 21 degrees of freedom. Find a. P(-a < t<a) = 0.95 and 27 degrees of freedom. Find a. For 15 degrees of freedom, find P(t < 1.753) For 22 degrees of freedom, find P(-2.074 < t < 2.074). Use Excel function =t.dist to find P(t<-2.86) with df 25 Use Excel function =t.dist.rt to find P(t > 1.33) with df 29...
random variable T has a t-distribution with 7 degree of freedom. Find P(-1<= T<=1). Suppose P(T<=C=0.9, what is the value of C?
Consider t, a random variable distributed according to the t distribution with 10 degrees of freedom. Using the table attached, compute the following:P(− 1.812 ≤ t ≤ 0.879)
3. If a random variable Y has a Chi-square distribution with 9 degrees of freedom. a) The mean of the distribution is b) The standard deviation of the distribution is c) The probability, p( y = 5) = d) The probability, P(Y>8 ) = e) the probability, p( y < 2) = _
Find the probability that a random variable having a t distribution with 16 degrees of freedom is greater than 1.746 and less than 2.120. a. 0.025 b. 0.045 c. 0.05 d. 0.100 e. 0.95
If T has the Student's t distribution with 5 degrees of freedom, find P(T > -0.2). (Hint: try ?pt.)
imize File Preview ZOOM+ 5. (a) If T has a t-distribution with 9 degrees of freedom, Use Table IV in the book to find tsch that P(T < t) = 0.99 (b) If X has a Chi-Square distribution with 15 degrees of freedom, Use Table V in the 0.95 book to find z such that P(X <z) (c) Suppose a random sample of size 12 is taken from a Normal Population. If the population variance is 8, what is P(S214.3091)....
9. The Student t, the chi-squared, and the F distributions Use the following Distributions tool to help you answer the following questions. 0123Chi-SquareF DistributionNormalt DistributionUniform Select a Distribution Suppose that random variable t follows a Student t distribution with degrees of freedom v = 21. E(t) is--------------, and V(t) is--------------. t0.01, 21 =------------------- P(t > 0.859) = -------------------- Suppose that random variable χ2 follows a chi-squared distribution with v = 9. E(χ2) =------------, and V(χ2) = ---------------- . χ2...
Consider a t distribution with 7 degrees of freedom. Compute P( t > 1.00). Round your answer to at least three decimal places. Consider a t distribution with 33 degrees of freedom. Find the value of C such that P( -C<t<C)= 0.99. Round your answer to at least three decimal places. P( t > 1.00)= C=