A continuous random variable is characterized by uncountable values and can take on any value within an intervalTrueFalse
1 answer:
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Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as
In 1998, Cathy's age was
And it must be equal to the sum of the four digits
Rearranging
We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus
Operating
If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18
Answer:
The expected number of checks among 784 that should have a leading digit of "1" is 236.
Step-by-step explanation:
Let <em>X</em> = number of checks that has the leading digit as "1".
The probability of a check having a leading digit as "1" is, <em>p</em> = 0.301.
The number of checks issued by a suspected company is, <em>n</em> = 784.
A check is having a leading digit "1" is independent of other checks.
A randomly selected check either has the leading digit 1 or not.
The success of the experiment is defined as, a check having the digit "1" as the leading digit.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 784 and <em>p</em> = 0.301.
The expected value of a random variable is the average number of times the random variable occurs.
The formula to compute the expected value of a Binomial distribution is:
Compute the expected value of <em>X</em> as follows:
Thus, the expected number of checks among 784 that should have a leading digit of "1" is 236.