For a highway, the car's speed has a uniform distribution [50,90]. Cars are stopped if speed X is greater than 70(mph). The price of a speeding ticket is equal to Y = 15 + (1/10)X(X-70). What is the probability that a stopped car is/was going faster than 85 mph? For each car stopped, the Var(X) is equal to what?

Q: Alex is running a recycling business. The weight of collected used Iron in a day is a variable, X,…

A: Solution:

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: The random variable X, which reflects the time it takes to see a shooting star during a meteor…

Q: The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be…

A: P=0.011-P=1-0.01=0.99n=1100

Q: Kirstyn conducted an experiment to determine if high school athletes run faster after warming up.…

A:

Q: Suppose that the probability of getting a job for a person is ( x / 3 ) . If the probability of not…

A: Given, The probability of getting the job is =x/3 The probability of not getting the job is = 2/3

Q: A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial…

A: Z= p^ -μp^σp^~ N(0,1)

Q: Twelve percent of the world's population is left-handed. A researcher daims that left-handed…

A: Solution: From the given information, the out of 1650 artists 10% are left-handed. The population…

Q: The magnitudes of earthquakes recorded in region of North America can be modeled by an exponential…

A:

Q: ABC Company is concerned about the amount of time their representatives spend on the phone with…

A: Given information- We have given the exponential distribution. We have given that the average time…

Q: The time between 2 city buses follows exponential distribution with rate 2 buses per hour 1. What is…

A: The probability density function for exponential distribution is given by f(x)=λe-λx and it is…

Q: For calculating the mean/expectation of a function, what  we need the most likely need to do

A: The expected value of a random function is the same as its average. The expectation is determined in…

Q: A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial…

A:

Q: In Malaysia, the rate of fatal occupational accidents in the construction industry recorded was 0.2…

A: Given: Accidents per day = 0.2 Number of days in quarter 1= 90 So, the rate of accidents per quarter…

Q: Batman drove from McDonald's to Wendy's on his new riding lawnmower. His average speed was 5 miles…

A: Mean Value theorem.  If a function f(x) is continues in an interval x = [a,b] , and differentiable…

Q: Suppose that X has an exponential distribution with a mean of 35. What is P(X<7) ?

A: Given that, The provided mean is β = 35

Q: A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial…

A:

Q: The time between arrivals of vehicles at a particular intersection follows an exponential pr 5 a.…

A: The probability mass function and Cumulative distribution function for Exponential distribution is…

Q: A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial…

A: The sample size n is 400.

Q: 2 3: If µ(x) = 100-x at death of a newborn. 8 400-x for 0≤ x ≤100 find the mean, mode and median of…

A:

Q: What is the of the mean 0. P(X=x) 0.15 0.20 0.15 0.50 3.

A:

Q: Suppose that the random change in value of a financial asset is X over the first day and Y over the…

A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: Denote X as the waiting time during a meteor shower, to observe a shooting star. It is given that X…

Q: Commuting distances for employees of a large steel fabricating facility are believed to follow an…

A:

Q: A population of N = 15 scores has a mean of u = 8. One score in the population is changed from X =…

A: Given that Number of observations N = 15 Mean = μ = 8

Q: Suppose X∼N(−4,4)X∼N-4,4. Between what xx values does 99.72%99.72% of the data lie?   The range of…

A: Solution

Q: A battery has an expected life (miles) as follows N(300000,10000). If there are 100000 cars in the…

A: Let X be the battery has an expected life X~N(300000,10000)

Q: You really struggle remembering to bring your lunch to work. Each day seems to be independent as to…

A: Given information : Probability of success = P = 0.346 n = 44   (a) μx = np      = (44) (0.346)…

Q: A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial…

A: Solution-: Given: n=400,P=0.50 We find, (a) The mean of p^ (b) The standard deviation of p^ (c)…

Q: A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial…

A:

Q: Q3: Suppose that the time to failure (in hours) of fans in a personal computer can be modeled by an…

A: Givenλ=0.0003Let "x" be the time to failure of fans in a personal computerA continuous random…

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

A:

Q: The time it takes to get a seat at a restaurant is exponentially distributed. The value for the…

A: Note: Thank you for the question. The question is considered as “the probability that a customer…

Q: II. Approximate the mean of the given following FDT. Show your solution Classes 0-4 fx 4 5-9 10 - 14…

A: Ans- Given data Class Frequency 0 - 4 4 5 - 9 6 10 - 14 5 15 - 19 5 20 - 24 3 25 - 29…

Q: Suppose that the length of long distance phone calls, mea- sured in minutes, is known to have an…

A: Given; μ=15 min Let X be a random variable and follows exponential distribution with mean μ. We can…

Q: A researcher believes at 49% of people who grew up as the only child have an IQ score over 100.…

A: Given: Population proportion of people with IQ score over 100 is 50%; P=0.5 Sample size n=400

Q: TKK Products manufactures electric light bulbs. Lab tests show that the distribution of lives (in…

A:

Q: ople or more 18. The lifetime of a flashlight battery is normally distributed with a mean = 35.6 hr…

A: The lifetime of a flashlight battery is normally distributed with a mean = 35.6 hr with standard…

Q: An economist has observed that the time between recessions has an exponential distribution with mean…

A:

Q: (Q2) A store room measured in length equal to (5m + 3 cm), measured width equal to (4m 2cm) measured…

A: Given, Length =5m +3cm=500+3=503cm, Width =4m+2cm=(400+2)cm=402cm Height =3m+4cm=(300+4)cm=304cm.…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.