he events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A and B)?  a 0  b 0.18  c 0.5  d 0.9

Multiply probabilities? A traffic light at an intersection near Jamal's house is red  30 % of the time, green  10 % of the time, and yellow  60 % of the time. Jamal encounters this light in the morning on his way to work and again in the evening on his way home. Is the probability that the light is red both times equal to  =×0.30.30.09 . Explain why or why not.

Rhett owns a cupcake bakery and is analyzing his sales of cupcake delivery orders. Based on his daily sales of delivery orders for the past month, he has already calculated the probabilities, ?(?),P(X), for the number of boxes of cupcakes, ?,X, purchased by a single customer in a single day, as shown in the table. ?X 1 2 3 4 5 ?(?)P(X) 0.75 0.05 0.10 0.05 0.05 Calculate the mean number of boxes of cupcakes, ??,μX, sold and delivered per person in a single day. Express your answer to two decimal places. ??=μX=     If a box of cupcakes costs $40.00$40.00 and the flat-rate delivery fee is $7.00$7.00, calculate the mean sales per person, ??,μY, that the cupcake shop makes in a single day for delivery orders. Express your answer to the nearest cent. ??=$μY=$

In each of Exercises, decide whether or not the two events in question are independent or whether it is not possible to tell. Justify your answers. P(B) = 0.8 and P(B| A) = 0.6