Question 25
2 answers:
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The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number
In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number
Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)
Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)
Let X be the number of times the die is rolled
The probability of getting a prime =
Now, the value of
E(X)=∑x.P(x) [ x-> {1, infinity}]
= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)
= 1. + 2.
.
+ 3.
.
+ 4.
.
.
.
.......
Hence, this is the value of E(x)
To learn more about Prime number, here
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Answer:
Chan's Bonus amount was $2400.
Step-by-step explanation:
Let the Total amount receive from bonus be 'x'.
Given:
Chan pays 30% in taxes;
So we can say;
Amount paid in taxes will be equal to 30% of total amount receive
framing in equation form we get;
Amount paid in taxes =
Now Given:
Chan pays 30% in Charity;
So we can say;
Amount paid in charity will be equal to 30% of total amount receive.
framing in equation form we get;
Amount paid in Charity =
Also Given:
Chan pays 30% in old debts;
So we can say;
Amount paid in Old debts will be equal 30% of total amount receive
framing in equation form we get;
Amount paid in Old debts =
Money left with him = $600
Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.
framing in equation form we get;
Hence Chan's Bonus amount was $2400.