Onsider the binomial distribution with n trials and P(S) = p. (a) Show that p(y) p(y − 1) = (n − y + 1)p yq for y = 1, 2, , n. Equivalently, for y = 1, 2, , n, the equation p(y) = (n − y + 1) p yq p(y − 1) gives a recursive relationship between the probabilities associated with successive values of Y.

When a rectangle is dilated, how do the perimeter and area of the rectangle change?

Anormally distributed data set has a mean of 176.3 and a standard deviation of 4.2. what is the approximate z-score for the data value of 167.9? 2.00 −2.00 8.4 −8.4

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).