An enterprising graduate who has been unable to find gainful employment has taken to visiting an office block in town each lunchtime with an array of freshly made sandwiches and beverages for sale. Let A be the event that that a customer will purchase a sandwich and say the probability of that event is P(A) = 0.55. Let B be the event that a customer will purchase a beverage and say the probability of that event is P(B) = 0.40. The probability that a customer will purchase both a sandwich and a beverage is, P(AN B) = 0.35. Provide answers to the following questions correct to 3 decimal places. ) What is the probability that the customer does not buy a sandwich? i.e. Find P(A) . (ii) What is the probability that the customer buys a beverage given they buy a sandwich? i.e. Find P(B|A). (iii) What is the probability that a customer does not buy a sandwich and buys a beverage? i.e. Find P(AN B) (iv) What is the probability that a customer buys a beverage given they did not buy a sandwich? i.e. Find P(B|A) (v) Are the two events A and B mutually exclusive? Choose one of the following answers: a) Yes, P(A and B)-D0. b) Yes, P(B|A)=P(B) c) No, P(A and B) 0. d) No, P(B|A) * P(B) e) No, P(A and B)-0. f) No, P(B|A)=P(B) g) Yes, P(A and B) 0. h) Yes, P(B|A) * P(B) Ans: (Insert one of a/b/c/d/e/f/g/h) (vi) Are the two events A and B independent? Choose one of the following answers: a) Yes, P(A and B)=0. b) Yes, P(B|A)=P(B) C) No, P(A and B) + 0. d) No, P(B|A) #P(B) e) No, P(A and B)=0. f) No, P(B|A)-P(B) g) Yes, P(A and B) 0. h) Yes, P(B|A) # P(B)
An enterprising graduate who has been unable to find gainful employment has taken to visiting an office block in town each lunchtime with an array of freshly made sandwiches and beverages for sale. Let A be the event that that a customer will purchase a sandwich and say the probability of that event is P(A) = 0.55. Let B be the event that a customer will purchase a beverage and say the probability of that event is P(B) = 0.40. The probability that a customer will purchase both a sandwich and a beverage is, P(AN B) = 0.35. Provide answers to the following questions correct to 3 decimal places. ) What is the probability that the customer does not buy a sandwich? i.e. Find P(A) . (ii) What is the probability that the customer buys a beverage given they buy a sandwich? i.e. Find P(B|A). (iii) What is the probability that a customer does not buy a sandwich and buys a beverage? i.e. Find P(AN B) (iv) What is the probability that a customer buys a beverage given they did not buy a sandwich? i.e. Find P(B|A) (v) Are the two events A and B mutually exclusive? Choose one of the following answers: a) Yes, P(A and B)-D0. b) Yes, P(B|A)=P(B) c) No, P(A and B) 0. d) No, P(B|A) * P(B) e) No, P(A and B)-0. f) No, P(B|A)=P(B) g) Yes, P(A and B) 0. h) Yes, P(B|A) * P(B) Ans: (Insert one of a/b/c/d/e/f/g/h) (vi) Are the two events A and B independent? Choose one of the following answers: a) Yes, P(A and B)=0. b) Yes, P(B|A)=P(B) C) No, P(A and B) + 0. d) No, P(B|A) #P(B) e) No, P(A and B)=0. f) No, P(B|A)-P(B) g) Yes, P(A and B) 0. h) Yes, P(B|A) # P(B)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:An enterprising graduate who has been unable to find gainful employment has taken to visiting an office block in town each lunchtime
with an array of freshly made sandwiches and beverages for sale.
Let A be the event that that a customer will purchase a sandwich and say the probability of that event is P(A) = 0.55.
Let B be the event that a customer will purchase a beverage and say the probability of that event is P(B) = 0.40.
The probability that a customer will purchase both a sandwich and a beverage is, P(AN B) = 0.35.
Provide answers to the following questions correct to 3 decimal places.
) What is the probability that the customer does not buy a sandwich? i.e. Find P(A).
(ii) What is the probability that the customer buys a beverage given they buy a sandwich? i.e. Find P(B|A).
(iii) What is the probability that a customer does not buy a sandwich and buys a beverage? i.e. Find P(AN B)
(iv) What is the probability that a customer buys a beverage given they did not buy a sandwich? i.e. Find P(B|A)
(v) Are the two events A and B mutually exclusive?
Choose one of the following answers:
a) Yes, P(A and B)=0.
b) Yes, P(B|A)=P(B)
c) No, P(A and B) * 0.
d) No, P(B|A) * P(B)
e) No, P(A and B)=0.
f) No, P(B|A)=P(B)
g) Yes, P(A and B) 0.
h) Yes, P(B|A) P(B)
Ans:
(Insert one of a/b/c/d/e/f/g/h)
(vi) Are the two events A and B independent?
Choose one of the following answers:
a) Yes, P(A and B)-D0.
b) Yes, P(B|A)=P(B)
c) No, P(A and B) + 0.
d) No, P(B|A) P(B)
e) No, P(A and B)=0.
f) No, P(B|A)=P(B)
g) Yes, P(A and B) * 0.
h) Yes, P(B|A) P(B)
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