A football player completes a pass 69.4% of the time. Find the probability that (a) the first pass he completes is the second
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we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).
If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.
There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.
Now the volume of rectangular box would also be 630 cubic inches.
We know the formula for volume of rectangular box = length × width × height.
So we need to find any three positive integers whose product is 630.
Out of all given choices, only option A satisfies the condition of factors of 630.
Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.
Answer:
The confidence interval will be given by:
, in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In the context of this problems:
It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation
To build the confidence interval:
The confidence interval for the average length of life of the electronic components they produced will be given by:
, in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of