Let Y be a Bernoulli random variable with success probability Pr ( Y = 1 ) = p , and let Y 1 , … , Y n be i. i.d. draws from this distribution. Let ˆ p be the fraction of successes (1s) in this sample. Show that ˆ p = ¯¯¯ Y . Show that ˆ p is an unbiased estimator of p. Show that var ( ˆ p ) = p ( 1 − p ) / n .

Nparallelogram lmno, what are the values of x and y? x = 11, y = 14 x = 11, y = 25 x = 55, y = 14 x = 55, y = 25n parallelogram lmno, what are the values of x and y? x = 11, y = 14 x = 11, y = 25 x = 55, y = 14 x = 55, y = 25

The weights of players in a basketball league are distributed normally. the distance (d) of each player's weight (w) from the mean of 86 kilograms was computed as follows: d = |w - 86| if d is greater than 7 for approximately 5% of the players, what is the approximate standard deviation of the players' weights? a. 1.75 kilograms b. 3.5 kilograms c. 4.3 kilograms d. 7 kilograms

If a baby uses 15 diapers in 2 days how many diapers will the baby use in a year