Question

uTube Watch House of Pay Previous11 12 13 124 Netfix D MusicPleer Free On convert?mp3net O Grayson Home PageE Next Question 12 of 14 (1 point) View problem in a pop up 6.2 Section Exercise 33abc Blood types: The blood type O negative is called the "universal donor" type, because it is the only blood type that may safely be transfused into any person. Therefore, when someone needs a transfusion in an emergency and their blood type cannot be determined, they are given type O negative blood. For this reason, donors with this blood type are crucial to blood banks Unfortunately, this blood type is fairly rare: according to the Red Cross, only 7% of US. residents have type O negative blood. Assume that a blood bank has recruited 20 donors. Round your answers to four decimal places. Part 1 out of 3 What is the probability that three or more of them have type O negative blood? The probability that thre or more of them have type O negative blood is

Answer 1

Given that: n = 20 and p = 7% = > 0.07 Calculate the probability that three or more of them have type O negative blood. p(3 or more O negative) = p(X greaterthanorequalto 3 = 1 - P(X < 3) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)] = 1 - [(20 0) 0.07degree (1 - 0.07) ^20-0 + (20 1) 0.07^1 (1 - 0.07) ^20-1 + (20 2) 0.07^2 (1 - 0.07) ^20 - 2] = 1 - [0.23424 + 0.35262 + 0.25214] = 1 - 0.83900 = 0.16100 = 0.1610 (Round to 4 decimal place) Hence, the required probability 0.1610.