Please I need help with the following problems, Thanks

A)

(1 point) 1. Suppose the probability of success is p = 61%. What is the probability of 5 successes in 11 trials? Express your answer as a decimal rounded to 4 decimal places after the decimal point. 2. A fair die is rolled 8 times. What is the probability of rolling a 2 on the die 4 times? Express your answer as a decimal rounded to 4 decimal places after the decimal point. 3. Joe is new to cooking. The probability that Joe burns dinner is 60%. (a) What is the probability that in the next 6 dinners Joe prepares, 1 of them will burn? Express your answer as a decimal rounded to 4 decimal places after the decimal point. (b) What is the probability that in the next 6 dinners Joe prepares, at least 4 of them will burn? Express your answer as a decimal rounded to 4 decimal places after the decimal point. l J71 J (c) What is the probability that in the next 6 dinners Joe prepares, less than 3 of them will burn? Express your answer as a decimal rounded to 4 decimal places after the decimal point. (1 point) Here is the probability model for the blood type of a randomly chosen person in the United States: Blood Type O A B AB Probability 0.26 0.41 0.14 ??? (a) The probability that a randomly chosen American has type AB blood must be (5. A. 0.26 A B. 0.14 b c. 0.19 (i. D. Any number between 0 and 1. (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types 0 and B. What is the probability that a randomly chosen American can donate blood to Maria? .A. A. 0.14 A B. 0.55 O c. 0.4 (5. D. None of the above. (1 point) Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. X 3 4 5 6 7 8 9 10 P(X) 0.1 0.25 0.39 0.17 0.04 0.03 0.01 ? (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = (c) What is the probability that a unit chosen at random has less than five rooms? P(X