Calculate the following probabilities and indicate which probability distribution model is appropriate in each case. You roll a fair die 5 times. What is the probability of rolling
(a) the first 6 on the fifth roll?
(b) exactly three 6s?
(c) the third 6 on the fifth roll?

Evaluate the dot product of (3,-1) and (1,5)

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

The parabola x= √y-9 opens: a.)up b.)down c.)right d.)left