12. A man runs an ice-cream parlour at a holiday resort. If the summer ismild, he can sell 2500 cups of ice cream; if it is hot, he can sell 4000cups; if it is very hot, he can sell 5000 cups. It is known that for anyand to be hot is. Ayear, the probability of summer to be mild iscup of ice cream costs 2 and is sold for 3.50. What is his expectedprofit?

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Answered: 12. A man runs an ice-cream parlour at…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Show your solutions. Performance Task. Answer the following problems. 1. Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team?
When Mitchell drives back home from campus, he has to pass through two sets of traffic lights. The probability that he has to stop at the first is 0.33, while the probability he has to stop at the second set is 0.41. Also, the probability he does not have to stop at either traffic light is 0.31. What is the probability he has to stop at exactly one set of traffic lights?
A. If 6% of the population of grass in Kentucky is bluegrass, find the probability that in a sample of 150 acres, there are exactly 6 acres of Kentucky bluegrass. B. Find the probability that there are at most 2 acres of Kentucky bluegrass.
8-letter words, with or without meaning, are created by using the letters of "MERCEDES". Blank #1: How many different 8-letter words can be created? Blank #2: How many different 8-letter words are formed where M & D are together? Blank #3: What is the probability of selecting a word with M & D together? (Express Answer as a % to 2 decimal places.) Blank # 1 Blank # 2 Blank # 3 99+ * F1 **12 PrtSc Insert Delete F8 F9 Backspace Num Lock 9. T Y U PI H. K 11 Enter M Sh Alt Ctrl Home * C0
c) The probability that Rudy passes Statistics is and the probability that he passes 7 10 English is 4 3 If the probability of passing both courses is find the probability that 5 Rudy will pass at least one of these courses.
I only need help with "D" and "E" thank you!
v = (5, 2, 4) w = (8, 2, 3) Find the cosine of the angle between v and w. cos 0 =
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The sales agent Parson works in three cities A, B and C. To avoid unnecessary travel, he stays all day in the same city and spends the night there, moving to another city the next day if he does not have enough work. After working one day in C, the probability of having to continue working there the next day is 0.4, the probability of having to travel to B is 0.4 and the probability of having to travel to A is 0.2. If the traveler sleeps one day in B, with a probability of 20% he will have to continue working in the same city the next day, in 60% of the cases he will travel to C, while he will go to A with a probability of 0.2. Finally, if the sales representative works all day in A, he will remain in the same city the next day with a probability of 0.1, he will go to B with a probability of 0.3 and to C with a probability of 0.6. A) If today the commuter is in C, what is the probability that he will also have to work in C on the fifth day B) What are the percentages of days that the…
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A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 7 cars needs to have oil added. If this is true, what is the probability of each of the following A. One out of the next four cars needs oil. Probability = B. Two out of the next eight cars needs oil. Probability = C. 10 out of the next 40 cars needs oil, Probability =

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12. A man runs an ice-cream parlour at a holiday resort. If the summer is mild, he can sell 2500 cups of ice cream; if it is hot, he can sell 4000 cups; if it is very hot, he can sell 5000 cups. It is known that for any year, the probability of summer to be mild is and to be hot is A 7 1