Assume that T has a t-distribution with 8 degrees of freedom. Find the following
probabilities.
(a) P (T ≤ 2.896)
(b) P (T ≤ −1.860)
(c) The value of a such that P (−a<T <a) = 0.99
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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.
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=
Use the calculator provided to solve the following problems. • Consider a t distribution with 28 degrees of freedom. Compute P(t>-1.24). Round your answer to at least three decimal places. • Consider a t distribution with 7 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(t2 - 1.24) = 0 c = 1 xs ?
Use the calculator provided to solve the following problems. • Consider a t distribution with 18 degrees of freedom. Compute Pt-1.11). Round your answer to at least three decimal places. • Consider a t distribution with 3 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. Plts -1.11) = 0 c= 1 xs ?
Use the calculator provided to solve the following problems. • Consider at distribution with 24 degrees of freedom. Compute P(132.00). Round your answer to at least three decimal places. • Consider at distribution with 22 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. Pts 2.00) = 0 5 ? ce
Name 1. This problem is designed to test your skill in using the Tables in the Appendix to find probabilities and cutoffs. (Drawing a picture is highly recommended.) (a) Suppose that the random variable B follows a Binomial distribution with no 9 and p = .70, find P(B = 6). (b) Suppose that the random variable z follows the Standard Normal probability distribution, find P(Z 2 -1.27). (C) Suppose that the random variable T follows at distribution with degrees of...
2. Random variable Z has the standard normal distribution. Find the following probabilities a): P[Z > 2] b) : P[0.67 <z c): P[Z > -1.32] d): P(Z > 1.96] e): P[-1 <Z <2] : P[-2.4 < Z < -1.2] g): P[Z-0.5) 3. Random variable 2 has the standard normal distribution. Find the values from the following probabilities. a): P[Z > 2) - 0.431 b): P[:<] -0.121 c): P[Z > 2] = 0.978 d): P[2] > 2] -0.001 e): P[- <Z...
Use the calculator provided to solve the following problems. . Consider at distribution with 18 degrees of freedom. Compute Pt-1.67). Round your answer to at least three decimal places • Considerat distribution with 22 degrees of freedom. Find the value of places. such that P(-c< <C) = 0.99. Round your answer to at least three decimal P(15-1.67) - 1 Sove For Later S A 2009 MEG A
Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.05 with 27 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.25 with 17 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area...
Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.15 with 30 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 16 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area...