(a) The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per week i Find the probability that in the next 4 weeks the estate agent sells exactly 3 houses (2 marks) Find the probability that in the next 4 weeks the estate agent sells more than 5 houses. (3 marks) DIT Find the probability that in the next 4 weeks the estate agent sells at most 4 houses. (3 marks) IV Find the probability that in the next 4 weeks the estate agent at least 2 houses (3 marks) v State three conditions must be satisfied in applying the Poisson probability distribution. (3 marks)

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

What are the related frequencies to the nearest hundredth of the columns of the two way table? group 1: a-102 b-34group 2: a-18 b-14edited: i don’t have all day to be waiting for an answer. i figured it out.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.