P(A) = 0.61, P(B) = 0.67, P(BU A) = 0.91 Find the following probabilities. P(AN B) = P(B|A) = P(A|B) =
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- Hi! from the previous explanation I have doubts about how the probabilities of the table are found when using 1,2 and 3 dice. Why is p(x) decreasing as x increases?Given that P(A)P(A) = 0.62, P(B)P(B) = 0.27, and P(A∣B)P(A∣B) = 0.22, find the probabilities:P(B∣A)P(B∣A) = P(∼A)P(∼A) = P(∼B)P(∼B) = P(∼A∣B)P(∼A∣B) = P(∼B∣A)P(∼B∣A) = P(A∣∼B)P(A∣∼B) = P(B∣∼A)P(B∣∼A) =I am pulling one red ball out of one of three baskets. R= Red ball, B= Basket The chance I pull from the three baskets are the same. P(B1)=P(B2)=P(B3)= 0.33 The probability of pulling a red ball from each basket is given: P(RlB1)= 0.75, P(RlB2)= 0.6, P(RlB3)= 0.45 How do I find the probability of choosing a red ball?
- Rhett owns a cupcake bakery and is analyzing his sales of cupcake delivery orders. Based on his daily sales of delivery orders for the past month, he has already calculated the probabilities, ?(?),P(X), for the number of boxes of cupcakes, ?,X, purchased by a single customer in a single day, as shown in the table. ?X 1 2 3 4 5 ?(?)P(X) 0.75 0.05 0.10 0.05 0.05 Calculate the mean number of boxes of cupcakes, ??,μX, sold and delivered per person in a single day. Express your answer to two decimal places. ??=μX= If a box of cupcakes costs $40.00$40.00 and the flat-rate delivery fee is $7.00$7.00, calculate the mean sales per person, ??,μY, that the cupcake shop makes in a single day for delivery orders. Express your answer to the nearest cent. ??=$μY=$The probability of a dry summer is equal to 0.3, the probability of a wet summer is equal to 0.2, and the probability of a summer with normal precipitation is equal to 0.5. A climatologist observed the precipitation during three consecutive summers. Find the probabilities for the following scenarios. Show steps. (a) What is the probability of observing three normal summers? (b) What is the probability of observing two wet summers? (c) What is the probability of observing at least two wet summers?The probability of flu symptoms for a person not receiving any treatment is 0.025. In a clinical trial of a common drug used to lower cholesterol, 30 of 1090 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 30 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug? (a) P(X 2 30) - (Round to four decimal places as needed.)
- If P (A) = 0.6, P (B) =0.5 and P (A U B) = 0.9, find the following probabilities: (a) P (ANB) (b) P (A/B)Use the following probabilities to answer the question. Round to 4 decimal places.P(A)=0.54P(A)=0.54 , P(B)=0.41P(B)=0.41 , P(AandB)=0.05P(AandB)=0.05 .P(B∣A)=p(a) =0.36 p(B)=0.50 a( a and b) = 0.2365 find out the probability of p( a or B )
- You are enrolled in MBA 440. At the beginning of the semester, you used your hunch to estimate the likelihood of passing this class. Let P be the event of passing the class; F is the event of failing the class. Your prior probabilities are as follows: P(P)=0.7 P(F)=0.3 After the first week of class, you find out that you have failed the first assignment. Let A1 be the event of passing the first assignment; let A2 be the event of failing the first assignment. Now you feel you need to update your belief about the likelihood of passing this class. You talk to your Professor and she tells you that given someone has passed the class, the probability of passing the first assignment is 0.8, i.e. P(A1|P)=0.8. She also gives you the following conditional probabilities: P(A2|P)=0.2; P(A1|F)=0.3 and P(A2|F)=0.7. What is the posterior probability that you will pass this class given that you have failed the first assignment?For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent = P(A 18) - 1 (a) P(A)=-;P(B) =;P(A\B) = 5 1 1 P(A) =;P (B) = P(A and B) = %3D 4 6. 1 1 P (B|A) = 1 (c) P(4)-극: P(B)-P(Bl4): %3D %3D 1 1 (d) P(A) = : P(B) = P(4 |B) = | %3DP(A)=0.55,P(B)=0.58,P(B∪A)=0.86 Find the following probabilities. P(A∩B) = P(B|A) = P(A|B) =
