In October 2024
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a machine used to fill cereal boxes dispenses on an average Q ounces per box. the manufacturer wants the actual ounces dispensed Y to be within 1 ounce of Q at least 75% of the time. what is the largest value of the standard deviation of Y that can be tolerated if the manufacturer's objectives are met?
How many different samples of size 3 ( n = 3 ) can be selected from a population with a size of 10 ( N = 10 ) ?
Two fair cubes are rolled. The random variable X represents the difference between the values of the two cubes.
a) Find the mean of this probability distribution. (i.e. Find E[X] )
b) Find the variance and standard deviation of this probability distribution.
(i.e. Find V[X] and SD[X])
The random variables A and B are defined as follows:
A = X-10 and B = [(1/2)X]-5
c) Show that E[A] and E[B].
d) Find V[A] and V[B].
e) Arnold and Brian play a game using two fair cubes. The cubes are rolled, and Arnold records his score using the random variable A and Brian uses the random variable B. They repeat this for a large number of times and compare their scores. Comment on any likely differences or similarities of their scores.
The average weight of 25 oranges selected from a normally distributed population is 400g with a standard deviation of 20g. Find the confidence interval using 95% confidence level.
A sociologist believes that it costs more than Php90,000 to raise a child from birth to age one. A random sample of 49 families, each with a child is selected to see if this figure is correct. The average expenses for these families reveal a mean of Php92,000 with a standard deviation of Php4,500.
the average number of automobiles per minute stopping for gas at a particular service station along the coastal road is 4 what is the probability that in any given minute more than two will stop for gas
the average number of automobiles per minute stopping for gas at a particular service station along the coastal road is 4 what is the probability that in any given minute more than two will stop for gas
the average number of automobiles per minute stopping for gas at a particular service station along the coastal road is 4 what is the probability that in any given minute more than two will stop for gas
Average number of automobiles per minute stopping for gas at a particular service station along the coastal road is 4 what is the probability that in any given minute more than two will stop for gas
The average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95% confidence level.
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#340153 on Dec 2023