9. E and F are two events such that P(E)= 0.60, P(E or F) = 0.90 and P(E and F) = 0.50. Find P(F).
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A: Independent events: If A and B are independent, then P(A and B)=P(A)×P(B)
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A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3
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A: Given A and B are independent P(A)=0.28, P(A or B)=0.64 P(B)=?
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- Assume that we have two events A and B, that are independent. Assume further that P(A) = 0.35 and P(B) = 0.45. Find P(AN B). %3D Select one: a. 0 b. 0.35 O c. 0.65 O d. 0.1575 O e. 0.55 f. 0.45If E and F are two events. P(E) = 0.28, P(F) = 0.36, P(F|E) = 0.10 Find P(E and F) Round to three decimalsA Statistics student was asked to solve the problem below. See the student’s attempt at the question and list all of the errors. Correct the errors to solve the question. Question: An average of 0.8 accidents occur every day on the roads of Trinidad and Tobago. Find the probability that at least 2 accidents will occur in Trinidad and Tobago on a given day.
- Q 2. (a) The probability that a student passes the P&S exam is 0.7. (1) Find the probability that a given student will pass the P&S exam after the third try. (ii)Find the probability that the third student who fails the P&S exam is found after the fifth student in a class of 9 students? (ii)Find the probability that at most 3 students will pass the P&S examina class of 7 students. 6Max accidently mixed 56 turnip seeds with 78 cabbage seeds. Since the two seeds look nearly identical, he must now choose one randomly to plant. Which of the following is the probability he will choose a turnip seed? (1) 0.42 (3) 0.58 (2) 0.56 (4) 0.72Find the probability that when a couple has 3 children, they will have exactly 2 boys. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of another child.
- Suppose that A and B are complementary events and you know that P(A) = 0.41, what is the value of P(B)The table on the right table shows the probability distribution of the number of adults (from many samples of 5 adults) who have a college degree. X P(x) 0.12 1 0.29 0.34 0.15 What is the probability that at most one adult (0 or 1) out of five adults has a college degree? 0.07 (A) 0.29 (В) 0.12 0.03 (C) 0.41 (D) 0.34 What is the probability that at least four adults (4 or 5) out of five adults has a college degree? (A) 0.07 (B) 0.10 (C) 0.03 (D) 0.34 Would a sample in which none (0) of the five adults had a college degree be unusual? (A) Yes (B) No 1 23 45The probability that an event will happen is P(E)= 0.47. Find the probability that the event will not happen. The probability that the event will not happen is (Simplify your answer.)
- The probability of two events A and B are 0.25 and 0.41 respectively. P(A and B) = 0.36 then find P(A | B) P(A/B) = (Round answer to 2 decimals)Q2. Write the four conditions to say the events E, F and G are said to be independent.Fifty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is more than five Find the probability that the number that prefer to purchase electronics online is more than five. P(x > 5) = (Round to three decimal places as needed.)