The sum of a number divided by 5 and 12 is 16. What is the number?
2 answers:
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For 
, we have
and so
which is, again, only valid for.
and so
which is, again, only valid for
Answer:
Step-by-step explanation:
General equation of geometric sequence:
Given:
- a₁ = 100
- a₂ = 20
- a₃ = 4
Common ratio:
Therefore:
Answer:
The expected repair cost is $3.73.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of defectives among the 4 items sold.
The probability of a large lot of items containing defectives is, <em>p</em> = 0.09.
An item is defective irrespective of the others.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 9 and <em>p</em> = 0.09.
The repair cost of the item is given by:
Compute the expected cost of repair as follows:
Compute the expected value of <em>X</em> as follows:
The expected value of <em>X</em> is 0.36.
Compute the variance of <em>X</em> as follows:
The variance of <em>X</em> is 0.3276.
The variance can also be computed using the formula:
Then the formula of is:
Compute the value of as follows:
The expected repair cost is:
Thus, the expected repair cost is $3.73.