Assume that deaths are uniformly distributed between integral ages. Calculate the expected present value of insurance benefit.

Q: Give the formula for calculating percentiles of a continuous distribution.

A: Here we have to give the formula for calculating percentile of a continuous distribution

Q: Normal approximation to estimate the probability of getting exactly 51 girls in 100 births. Assume…

A: Given, Both boys and girls are equally likely P(B) = 0.5 P(G) = 0.5 Sample size n = 100 By normal…

Q: It is known to show an exponential distribution where the average lifespan of a type of CPU is eight…

A:

Q: It is known to show an exponential distribution where the average lifespan of a type of CPU is seven…

A:

Q: Source Model 6617230.87 Residual 26013137.2 Total price appinc _cons SS O (1988, 505.45) O (1987,…

A: The objective is to obtain the appropriate value of A and B that is given in the regression output…

Q: Project Management with Uncertainty A small project consists of activities: A, B, C, D, and E. In…

A: It is an important part of statistics. It is widely used.

Q: t is known to show an exponential distribution where the average lifespan of a type of CPU is nine…

A: Given data, the average lifespan of a type of CPU is nine years.

Q: You are stock price analyst for the company. You are given historical daily stock prices of your…

A: Given :  You are stock price analyst for the company. You are given historical daily stock prices of…

Q: The amount of time spouses shop for an anniversery cards can be modeled by an exponential…

A: Solution: Let X be the amount of time spouses shop for an anniversary cards. From the given…

Q: A main-frame computer, that serves a network of terminals, is known to crash after an average of 44…

A:

Q: The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are…

A: Given that.   X~N( μ , ?)   μ=14.7 , ?=33   Z-score =( x - μ )/?

Q: High-Roller Insurance Company insures the cost of injuries to the employees of ACME Dynamite…

A: To calculate the probability that an injury will result in a claim to High-Roller, we can use the…

Q: If X ~ exp ((b), calculate the probability that X exceeds its expected value.

A: It is given that X~Exp(b), the PDF PDF of X is given by,

Q: List the important properties of Cumulative Distribution Function (CDF).

A: Answer: For the given data

Q: A manufacturer of programmable calculators is attempting to determine a reasonable free-service…

A:

Q: An adult can lose or gain two pounds of water in the course of a day. Assume that the changes in…

A: We are given that An adult can lose or gain two pounds of water in the course of a day. Let X be the…

Q: Derive the expected value of Y? 0,

A: Given:  Distribution function of lifespan of bulb  f(x)=(y*e^-y/10)/100    : y>0  Then to find…

Q: The time between the arrival of electronic messages at your computer is exponentially distributed…

A: Here use exponential distribution formula

Q: a. If service contracts are offered for the expected life of the calculator, what percentage of…

A: here given , expected life of calculator = 60 months MTBF = 60 now for exponential distribution…

Q: The time (in hours) required to repair a machine is exponentially distributed 1 with parameter 2 =…

A: Givenλ=13A random variable x~Exponential(λ=13)F(x)=P(X≤x)=1-e-xλ   ; x≥0

Q: The ---------- of disease represents the rate of occurrence of new cases arising in each period in a…

A: Epidemiology is used to determine the disease in the population and the health status of the…

Q: Critical value z= 1.645, phat= 0.874, n= 500 what is the margin of error?

A: Answer - Critical value z= 1.645,  p^= 0.874, n= 500               what is the margin of error?

Q: Suppose that George wants to determine if the number of insects in a given area is related to the…

A: we have give that  x1=5 ,x2=9 ,x3=10 ,xbar=8 ,sdx=2.646 and y1=17,y2=1,y3=15,ybar=11,sdy=8.718 n=3

Q: The amount of time required to serve a customer at a bank has an exponential density function with a…

A: Given: Exponential pdf is as fx=ke-kx   0<x<∞ Mean = 3

Q: If time between two ATM transaction is exponentially distributed with Lambda = 1 minutes. find the…

A:

Q: Each day during peak demand period, additional generator turns on. It has max output=1400 watts.…

A: Given data: max output=1400 watts. An exponential distribution with mean of 200 watts. To find: what…

Q: Suppose that the cumulative distribution function of X is given by x < 0 0≤x≤2 F(x)= = 1 5' 2 5'…

A: Given: The cumulative distribution function of X is given by: Fx=0,x&lt;015,0≤x&lt;225,2≤x&lt;41,x≥4…

Q: Write the normal equation finding the best approximate solution to 1 3 2 1 -2 1 -2 -1 2 1 3

A: Given: 01312-11-2021-1xyz = -2-2-13 To find the normal equation and the best approximate solution

Q: Assume that survival times are exponentially distributed ?(?). Compute the following

A: Given the data asThe symbol "+" represents a censored observation.

Q: For a loss X with exponential distribution with parameters mean, what can you conclude about it's…

A: Given that the loss X follows an exponential distribution with mean θ. So, the PDF of X is…

Q: (b) The lifetime of a supercapacitor manufactured by ELEMENT45 is exponentially distributed with…

A: (b) (i) It is been asked to find the probability that super capacitor component is still working at…

Q: Explain the different factors that account for fluctuations in time series data

A: Seasonal effect (Seasonal Variation or Seasonal Fluctuations)Time series data exhibits a seasonal…

Q: Suppose that a new treatment is successful in curing a common ailment 69% of the time.  If the…

A: It is given that n = 75 and p = 0.69.

Q: Use normal approximation (without continuity correction) to estimate the probability of getting at…

A: From the given information, let X be the number of girl births. Total number of births n = 100.…

Q: What is the difference between arithmetic and geometric average return? Do they always converge?

A: Average return : The average come back is that the basic mathematical average of a series of returns…

Q: The probability for a continuous variable that is normally distributed is equivalent to what?

A: The normal distribution is a continuous distribution.

Q: Porosity measurements in an oil field show a normal distribution witha mean of 5% and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: The given table which shows the daily receipts in millions of dollars of the movie avatar for…

Q: (CDF) for the probability

A:

Q: The arrival of an item ordered in Amazon is assumed to follow the exponential distribution with…

A: The objective of this question is to calculate the parameter λ of the exponential distribution, and…

Q: Q4) An analyst gathered the following information for a stock and market parameters: stock beta =…

A: