Question

2 An unbiased die is thrown 22 times. After each throw a '+' is recorded for 2 or 5 and '-' is recorded for 1,3,4 or 6, the signs forming an ordered sequence. To each, except the first and last sign, a random variable $X_i, i = 1,2,..., 20$ is associated which takes the value 1 if both of its neighbouring sign differs from the one between them and 0 otherwise. If the random variable Y is defined as $Y = 10S + 26$ where, $S = sum_{i=1}^{20} X_i$. Find the expected value of Y. $frac{400}{9}$ $frac{40}{9}$ $frac{634}{9}$ $frac{274}{9}$

          2 An unbiased die is thrown 22 times. After each throw a '+' is recorded for 2 or 5 and '-' is recorded for 1,3,4 or 6, the signs forming an ordered sequence. To each, except the first and last sign, a random variable $X_i, i = 1,2,..., 20$ is associated which takes the value 1 if both of its neighbouring sign differs from the one between them and 0 otherwise. If the random variable Y is defined as $Y = 10S + 26$ where, $S = sum_{i=1}^{20} X_i$. Find the expected value of Y.
$frac{400}{9}$
$frac{40}{9}$
$frac{634}{9}$
$frac{274}{9}$

$2 An unbiased die is thrown 22 times. After each throw a '+' is recorded for 2 or 5 and '-' is recorded for 1,3,4 or 6, the signs forming an ordered sequence. To each, except the first and last sign, a random variable Xi, i = 1,2,..., 20 is associated which takes the value 1 if both of its neighbouring sign differs from the one between them and 0 otherwise. If the random variable Y is defined as Y = 10S + 26 where, S = sumi=1^20 Xi. Find the expected value of Y. frac4009 frac409 frac6349 frac2749$

Added by Karen T.

Question

Please give Ace some feedback