(a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A| B) = 7/13. (d) The events A and B are mutually exclusive. (e) The events A and B are independent.
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- These marbles are placed in a bag and two of them are randomly drawn. O What is the probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw? Give your answer as a rational number, reduced to simplest terms. [?] Hint: Multiply the probability of the 1st Event by the probability of the 2nd Event to get your answer. Enteri need the answer quicklyA college finds that 10% of students have taken a distance learning class and that 40% of students are part time students. Of the part time students, 20% have taken a distance learning class. Let D = the event that a student has taken a distance learning class and E = the event that a student is a part time student. For each part, show how you derive your answer. Show formulas if appropriate. (a) Find P(D and E) (b) Find P(D or E)
- It doesn’t show the last parts (e) P(N or M) Are the events N= no reaction and M= mild reaction mutually exclusive? Explain. Yes. P(N and M) = 0. Yes P(N or M) = 0. No. P(N or M) ≠ 0. No. P(N or M) ≠ 0. (f) Are the events N = no reaction and W= washing oil off within 5 minutes independent? Explain. Yes P(N and W) = P(N) • P(W). No. P(N and W) ≠ P(N) • P(W). Yes. P(N and W) ≠ P(N) • P(W). No. P(N and W) = P(N) • P(W).K 7 The probability that a bachelor's degree recipient in 2014 majored in biology is 20 Set-up an equation to find the odds of the event occurring. P(E) P (E') 20 20 (Type whole numbers.) .. 6 The odds of a bachelor's degree recipient in 2014 majoring in biology occurring are (Type whole numbers.) Find the odds of the event occurring. toE and F are mutually exclusive events. P (E) = 0.91; P(F) =0.42 . Find P (E| F )
- Current Attempt in Progress Use the information that, for events A and B, we have P(A)= 0.5, P(B) = 0.2, and P(A and B)= 0.1. Find P(A or B). Enter the exact answer. P(A or B) =Q 4[ 15M] A box contains 23 products of type A and 44 products of type B. A product is drawn at random from the box. Find the probability that the product drawn is : (i) type A. (ii) type B. (4 decimal places).67% 3 / 4 4. Find P(A) 12 (c) P(A) 1 () P(A)-7 5 13 (a) P(4) (b) P(A)- 17 17 5. Find P(AC B) () P(A\B)= 12 (a) P(AnB)= 17 (b) P(Ar B) = 17 (6) P(Ar B)= 17 6. Find P(AUB) (3) P{AJB) = (h) P(AB)= (e) P(AUB}= 12 (d) P(AUB)= 7. Find P(AC B) 10 13 17