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- Subjevt : StatesticSuppose A and B are two events. If P(A)=0.5, P(B)=0.4, and P(AUB)=0.8. Then find the ? P(AN B) None of these .A 0.4 .B 0.0.C 0.3.D https://mood e IT:E9 ENG ) G TOSHIBA 40 BVD CIVB 247 23 3r 24 & 48 50 67 7V 8A 99 DI F1 GY V BY NIa. The Probaility of event A happening is P(A)-0.5. The probability of event B happening is I(B)-0.4. Considering these are both mutually exclusive events what is the probability of event A or eveat B occurring b. Dario owns 145 baseball cards, 102 football cards, and 4s basketball cards He selcets a card at randors and gives it to his brother. What is the probability that he selects a baseball or football card? I need quick help
- 3. Two coins are tossed 700 times, and the results are Two heads: 205 times One head: 325 times No head: 170 times Find the probability of each event to occur? 4. If P(A)-7/13, P(B)-9/13 and P(ANB)-4/13, evaluate P(A/B)? 5. Two dice are rolled, find the probability that the sum of the number of both the dice is: A.Equal to 2 B.Equal to 5 C.Less than 12 6. Let X be the number of Tell in four tosses of a fair coin a) Construct the Probability mass function (pf) of X. b) Find the mean number of Tell and the variance c) Find P(0 2. (i)Determine the corresponding p.d.f. (f(x)). (ii) Determine the constant c. 8. If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value 9.Find the probability of getting at least 5 times head-on tossing an unbiased coin for 6 times by using the binomial distributionDetermine if events A and B are independent. 7 P(A and B) 20 7 13 P(B) : 20 13 P(A and B) 20 169 4) = P(B) = 2) P(A) = 100 400 7 3) Р(A) %—D 10 P(B) = 5 21 1 P(B) 1 P(A and B) 5 1 P(A and B) 4) Р(A) — 100 25Let A be the event a person has blond hair and B be the event that a person has blue eyes
- Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.Suppose you roll 2 six-sided dice and sum the faces that show. Let A bethe event that the sum is less than or equal to 5, B be the event that the sum is even,and C be the event that the sum is greater than or equal to 8. Compute P(B | A) andP(C | A).Let event G = taking a math class. Let event H = taking a science class. Then, G ∩ H = taking a math class and a science class while G ∪ H = taking either a math class or a science class. Suppose P(G) = 0.42, P(H) = 0.45, and P(G ∪ H) = 0.25. What is P(G ∩ H)