Question

In: Statistics and Probability

X values and probabilities 1. Given μX = 750, σX = 100         a) find the...

X values and probabilities

1. Given μX = 750, σX = 100

        a) find the p(X < 970)

        b) find the p(X > 724)

        c) find the p(617 < X < 980)

        d) find X0 if p(X > X0) = .50

        e) find X0 if p(X < X0) = .0643

        f) find X0 if p(X > X0) = .4129

        g) find the 23rd percentile of X

        h) find the two X values that are the boundary of the middle 86%, i.e. p(X0 < X < X1) = .86 and X0 and X1 are the same number of SD's away from the mean.

        i) find the two X values that are the boundary of the middle 36%, i.e. p(X0 < X < X1) = .36 and X0 and X1 are the same number of SD's away from the mean.

Solutions

Expert Solution


Related Solutions

Z table work with given standard deviation and average(mean) 1.   Given μX = 750, σX =...
Z table work with given standard deviation and average(mean) 1.   Given μX = 750, σX = 80         a) Find the two X values that are 2.7 SD away from the mean         b) Find X1 if p(720 < X < X1) = .428         c) Find X0 if p(X0 < X < 910) = .347         d) Find p((X < 700) or (X > 900)) (sum required)         e) Find any X0 and X1 s.t. p(X0 < X <...
3. Given μX = 8.3, σX = 3.2 a) Find prob(X < 10.0) b) Find prob(X...
3. Given μX = 8.3, σX = 3.2 a) Find prob(X < 10.0) b) Find prob(X > 3.2) c) Find X0 such that prob(X > X0) = .9573 d) Find prob(6.0 < X < 7.0) e) Find the two X's that are the boundaries of the middle 68% of the distribution
Given μX = 8.3, σX = 3.2 a) Find Z1 such that prob(.35 < Z <...
Given μX = 8.3, σX = 3.2 a) Find Z1 such that prob(.35 < Z < Z1) = .3231 b) Find prob(-1.2 < Z < 2.7) c) Find prob(Z = .83) d) Find any Z0 and Z1 such that prob(Z0 < Z < Z1) = .4444
Given μX = 8.3, σX = 3.2 c) Find the 32nd percentile of Z d) Find...
Given μX = 8.3, σX = 3.2 c) Find the 32nd percentile of Z d) Find the prob(Z < -.88 OR Z > 1.88) e) Find Z0 such that prob(Z > Z0) = .9608
Data 13A is Ho: μx = 80.0 σx = 20.0 Ha: μx ≠ 80.0 n =100,...
Data 13A is Ho: μx = 80.0 σx = 20.0 Ha: μx ≠ 80.0 n =100, In regard to DATA 13A... (a) If α = .05 and μtrue = 84.0, what is β? What is the power of the test? (b) If α = .05 and μtrue = 84.0, but Ha:ux > 80.0 what is β? What is the power of the test?
A test is given and the average (μX) score was 190, with a SD (σX) of...
A test is given and the average (μX) score was 190, with a SD (σX) of 50. Assuming a normal distribution for the grades, find the dividing line (test scores) between the A's, B's, C's, D's, and E's. The bottom 13% will be assigned the E's, the next 13% will be the D's, 50% will be the C's, the next 15% the B's and the top 9% will be the A's.
1. Let X and Y be independent random variables with μX= 5, σX= 4, μY= 2,...
1. Let X and Y be independent random variables with μX= 5, σX= 4, μY= 2, and σY= 3. Find the mean and variance of X + Y. Find the mean and variance of X – Y. 2. Porcelain figurines are sold for $10 if flawless, and for $3 if there are minor cosmetic flaws. Of the figurines made by a certain company, 75% are flawless and 25% have minor cosmetic flaws. In a sample of 100 figurines that are...
Calculate the Y values corresponding to the X values given below.  Find the critical values for X...
Calculate the Y values corresponding to the X values given below.  Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dy/dx = 0 and/or X values where the second derivative, d­2y/dx2 = 0.    Be sure to find the sign (+ or -) of  dy/dx and of d2y/dx2 at all X values. Reference Lesson 13 and the text Appendix A (pp 694 – 698), as needed.  Using the first and second derivative...
A makeup test is given and the average (μX) score out of 100 was 85.0, with...
A makeup test is given and the average (μX) score out of 100 was 85.0, with a SD (σX) of 3.0. Assuming a normal distribution, find the dividing line (test scores) between the A's, B's, C's, D's, and E's. This time the highest 6% will be the A's, the next 16% B's, the next 26% C's, the next 36% D's.
A test is given and the average (μX) score out of 100 was only a 53.1,...
A test is given and the average (μX) score out of 100 was only a 53.1, with a SD (σX) of 8.9. Assuming the grades followed a normal distribution, use the Z table or Excel and formulas to find the dividing line (test scores) between the A's, B's, C's, D's, and E's. Starting from the top, the teacher will give the highest 15% A's, the next 10% B's, the next 30% C's, the next 25% D's, and the bottom 20%...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT