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in the population are 0.4, 0.2, 0.3 and 0.1. When 400 randomly picked people
were examined, the observed numbers of each type were 148, 96, 106 and
50. At the 5% level of significance, test the null hypothesis that these data
bear out the stated belief
10.6 A company claims that its batteries have a mean life of 100 hours. You try to verify this for a sample of size 21 with mean 97 hours and variance 9 hours.
The number of carbohydrates found in a random sample of fast-food entrees is listed below. Is there sufficient evidence to conclude that the variance differs from 100? use the 0.05 level of significance.
53 46 39 39 30
47 38 73 43 41
A company manufactures bulbs. The probability of getting a defective bulb is 0.045. A sample of 100 bulbs were selected. Use Poisson approximation to binomial distribution to find the probability of finding at most 3 non-defective bulbs
A company manufactures fuses. The percentage of non-defective fuses is 95.4%. A sample of 9 fuse was selected. Calculate the probability of selecting at least 3 defective fuses.
let the continuous random variable x denote the current measured in a thin copper wire in milliamperes. The probability density function is given by
known population standard deviation of 20 minutes. A random sample of 64 shoppers in the local
grocery store had a mean time of 75 minutes. Find the standard error, margin of error, and the
upper and lower confidence limit of a 95% confidence interval for the population mean (
given: N=250 n=100 μ=35.6 σ=4.89
find: p( ≥36)
Q1
A mine hauls, on average, three dump truck of waste per hour to a waste dump. For a given hour, find the probability that it will haul the following number of truck loads:
a) At most 3 trucks.
b) At least 3 trucks.
c) Five or more
The random variable Xhas a probability density function,.f{x) where
f(x)= "\\begin{Bmatrix}\n a-5+x; 5<x<=6 \\\\\n 0 ; otherwise \n\\end{Bmatrix}" {
(a) Show that a=1/2
(b) Calculate P( X > 5. 7) .
(c) Find E (X), Var (X) and Var(3+X).
