a. P(A’) d. P(A’∩B’) b. P(A∪B) e. P[(A∪B)’] c. P(A’∩B) f. P(A’∪B)
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If P(A) = 0.35, P(B) = 0.22, P(A∩B)=0.13, determine the following probabilities
a. P(A’) d. P(A’∩B’)
b. P(A∪B) e. P[(A∪B)’]
c. P(A’∩B) f. P(A’∪B)
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- S=(0,1,2,3,4,5,6,7,8,9) A=(0,1,3,7,8) B=(0,2,3,5,6,7) C=(3,4,7,8). Give the following probabilities as fractions in lowest terms. No spaces. (a) P(AUB)= (b) P[B'n C)=An experimentor testing for extrasensory perception has four cards with pictures of a (s)tar, (c)ircle, (w)iggly lines and a (d)ollar sign. She selects two cards without replacement. how many elements? Express the event a star appears on the card as a set. A. (s) B. (s,c) (s,w) (s,d) (c,s) (w,s) (d,s) c. (s,c) (s,w) (s,d) What is the probability a star appears on one of the cards? What is the probability that wigglines does not appear?5. The probability that a regularly scheduled flight departs on time is P(D) = 0.81; the probability that it arrives on time is P(A) = 0.85; and probability that it departs and arrives on time is P(DNA) = 0.75. Find the probability that a plane i) Departed on time, given it has arrived on time. ii) Arrives on time , given that it departed on time iii) Departed on time, given has not arrived on time.
- Q1. a) In a group of 80 students, 50 have a laptop (A), 30 have a tablet (B) and 3 have both a laptop and a tablet. i) Draw a Venn diagram to represent this information. A 47 3 27 B 3 ii) Find the probability that a student either only has a tablet or does not have a laptop or both, using the equation P(A' U B) = P(A') + P(B) – P(A' ʼn B).let X ~ n(8, 1.5) wwhat is the rpobability associated with an outcome between (6.5, 9.5)?If A and B are complements, then which of the following is true about the probability of B based on the probability of A? 1) P(B)=P(A)+1 2) P(B)=1-P(A) 3) P(B)=1/P(A) 4) P(B)=P(A)-1
- Please do the second partUse the attached image to compute the following probabilities:• P(B|A)• P(B ∩ A)• P(B0|A)• P(B0 ∩ A)6.If P(A) = 0.43, P(B) = 0.55, and P(A n B) = 0.35 find the probability that i) P(not A) + P(not B ) ii) P(A U B)' iii) Neither A nor B happens iv) P(A/B) v) P(B/A) vi) P(A n B)'
- 1. A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A and B1) b. If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A/B) c.If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A1 and B) d.If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A or B)Q-3 If P(A) = 0.2, P(B) = 0.3, and P(A n B) = 0.1, determine the following probabilities: b. P(A U B) с. Р(А' n B) a. P(A' U B) d. P(A n B') e. P[(A U B)]
