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1. Suppose Xi for i=1, 2, 3... has Uniform (0,1) distribution. A. Let M = min (n: X1 + X2 + ... + Xn> 1). Find E (M) by simulation. B. Let N = min (n+1: Xn > Xn+1). Find E (N) by simulation. 2. Toss a pair of fair dice. If you get any double stop and lose. Otherwise keep tossing. If any sum gets repeated before getting any doubles stop and win. A. Find the probability of winning B. Find the expected number of tosses per game.
Calculate an interval estimate for the mean life, , of light bulbs of this type. In other words, construct a 90% confidence interval for the mean life, , of light bulbs of this type
Sally has 5 red flags, 6 green flags, and 5 white flags. How many 16-flag signals can she run up a flag pole?
Linear systems using the Reduced Row Echelon technique, as demonstrated in class. If there is no solution, explain why not.
the following data lists the average monthly snowfall for january in 15 cities around the usnbsp20nbspnbspnbsp
Add 4x2 + 9x- 3 and x2 + x3– x4 and write the resulting polynomial in descending order.
Between 12:00 Pm and 1:00 PM, Cars arrive at Citibank's drive-thru at the rate of 6 cars per hour. (0.1 car per minute) The following formula from statistics can be used to determine that a car will arrive within t minutes of 12:00 PM.
The consumer price index for a new car in 1990 was 110.2, and in 1995 it was 136.5. If the price of the car was $12,880 in 1990, what was the price in 1995?
Find a linear function D(x) that express the constume demand as a function of the price per pound x
Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.)
A square playground is fenced in by 40ft. of fencing. What is the area of the playground?
rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 25 m above ground level?
How much heat (in kJ) is absorbed by a 500. g sample of water when it is heated from 44.0°C to 67.0°C? The specific heat capacity of water is 4.184 J/g°C.
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