Answered: Events A and B are mutually exclusive…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the following probabilities to answer the question. Round to 4 decimal places. P(A) = 0.61, P(B) = 0.29, P(A and B) = 0.10. P(B | A) =
Please write as a fraction
For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities (a) P(A) = P(B)=;P (BA)== (b) P(4)= —; ¯; P (B): 1 -; P(A and B)= 1 (c) P (4)=P(B)=;P (BA) = 8 4 1 1 (d) P(A) = — ; P (B)= — ; P (A|B) = 4 4 1 12 Independent O X Dependent
A customer for a home insurance policy owns a $200,000 home. The probability is 0.1% that the home will be totally destroyed by fire, and the probability is 0.5% that the home will suffer a 50% loss due to fire. Ignoring all other partial losses, the insurance company is interested in determining what premium it should charge for a policy just to break even. Let ? = ?ℎ? ?????? ?? ???????????? ???? ?? ?ℎ? ????????. State the Sample Space for the r.v. X INCLUDE the units: { } (i.e. list all the possible outcomes for the amount of compensation paid to the customer in $) HINT: make a probability distribution table
Solve the question please
Multiply probabilities? A traffic light at an intersection near Jamal's house is red 30 % of the time, green 10 % of the time, and yellow 60 % of the time. Jamal encounters this light in the morning on his way to work and again in the evening on his way home. Is the probability that the light is red both times equal to =×0.30.30.09 . Explain why or why not.
Let A and B be independent events. Express the probability P(A ∪ B) in terms of the probabilities of A and B.
???
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=$
hwm7 7 Use the following probabilities to answer the question. P(A) =0.6, P(B)=0.35 AND P(AandB)=0.05. P(notB notA)= _%
ony runs a cell phone kiosk in the mall and has 244 potential customers each day. He has a 7 % chance to make a sale to each customer. Use continuity correction to normally approximate the following probabilities.Round to 4 decimal places.a. The probability that he makes AT LEAST 18 sales b. The probability that he makes AT MOST 16 sales
Let A and B be mutually exclusive events, such that P(A) = = 0.9304 and P(B) = 0.0423 . Find the following probabilities: P(A and B)= % (Round the answer to 2 decimals) P(A or B)= % (Round the answer to 2 decimals)

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Events A and B are mutually exclusive with P(A) equal to 0.331 and P (A or B) equal to 0.727. Find the following probabilities. P (not A) = P (A and B) =