4.Data from weather control board in every year presents themelting of ice layer of Gangotri glacier is a normal randomvariable with a mean of 12.08 inches and standard deviationof 3.1 inches.Hints: Assume Xi is the random variable of ice loss ithyear. The combined variance for two years is (2x (3.1^2))=19.22.(a) Find the probability that the total loss of ice layer in 2years will exceed 25 inches.(b) Find the probability that the loss of ice in next year by3 inch in comparison to first year and assume that the lossof ice for the next two years are independent.

a) To find the probability that the total loss of ice layer in 2 years will 25 inches we need to…

Answered: (a) Find the probability that the total…

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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6) The following figure shows that the probability of a plant flowering in 1987 was related to its initial size (as defined by leaf area) in 1984. Also, for a given-size plant, the probability of flowering declines as a function of previous allocation to reproduction (measured as the number of fruits produced during 1984-1986). Based on this figure, approximately how large (leaf area in cm3) would a plant that has produced three fruits over the last three years have to be in order to have an approximately 50% (0.50) probability of flowering? Probability of flowering in 1987 1.0 0.8 0.6 0.4 0.2 00000 ***** AM 100 Question 6 options: 100 cm3 150 cm3 300 cm3 250 cm3 00 .. 200 300 Leaf area in 1984 (cm²) O fruits 1 fruit ▲ 2 fruits 3 fruits 400 500
One mechanism formed by two identical components of type A, arranged in series, has a reliability of 60% after 1000 hours. A new component B is added in parallel in order to improve the reliability of the device up to 90% after 1000 hours. What should be the reliability of component B after 1000 hours?
FD=0.5CDApv^2 V=18 A=1.289 P=1.2754 CD=0.35 FD=
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An industrial oil heater is tested by its ability to heat up a large room on a cold day and in particular, the rate at which it reaches a desired average temperature. The size of the room and the room temperature prior to switching on the heater were identified as two important factors of the rate at which the average room temperature increases. The experiment was replicated 3 times for each combination. The time (in minutes) till an average temperature increase of 10°C was measured is tabulated below: Factor B Large Classroom (200m2) Large Auditorium (400m2) (1) Treatment Combination (2) Factor A 7°C (1) 8,9,8 22,18,21 12°C (2) 9,10,12 19,29,25 Let factor A be the initial temperature and factor B be size of the room.
1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
The following table gives data for the velocity of a sports car accelerating from 0 to 193 miles per hour over the course of 36 seconds (10 thousandths of an hour).
Please only solve number 8. Thank you tutor and God bless!
7 In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to 25.1 minutes, what is the average wait in queue?
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4. As fallen trees lie on the forest floor they slowly decay. Will the amount of light present have an impact on the rate of decay? In the following table x is a random variable representing the remaining percentage of total mass of a log after it was exposed to the elements for three weeks while y represents the numbers of hours of direct sunlight the log received each day. X 0.60 .70 .65 .82 .87 y 1.0 2.3 3.0 4.0 4.5 (a) Plot a scatter diagram of the data. Remember to label your axes appropriately and choose a consistent scale. (b) Based on a scatter diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative? Please circle one of the following choices: A. Positive B. Close to zero C. Negative (c) Interpret your results from parts (a) and (b). 16 tv
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(a) Find the probability that the total loss of ice layer in 2 years will exceed 25 inches. (b) Find the probability that the loss of ice in next year by 3 inch in comparison to first year and assume that the loss of ice for the next two years are independent.