Answer:
1.26 kg.
Step-by-step explanation:
We have been given that Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. We are asked to find the amount of candy bought by Mr. Snow in kilograms.
First of all, we will find the amount of candy in grams by multiplying 90 grams by 14 as:
We know that 1 kilogram is equal to 1000 grams. To convert 1260 grams into kg, we will divide 1260 by 1000 as:
Therefore, Mr. Snow bought 1.26 kilograms of candy.
will have real roots when the discriminant of the quadratic,
, is non-negative, i.e.
Your question about probability is currently impossible to answer without knowing exactly what the experiment is. Are you picking at random from some interval? Is the choice of either distributed a certain way?
I'll assume the inclusion of "[0,1]" in your question is a suggestion that both are chosen indepently of one another from [0, 1]. Let
denote the random variables that take on the values of
, respectively. I'll assume
are identical and follow the standard uniform distribution, i.e. they each have the same PDF and CDF as below:
where is either of
.
Then the question is to find . We have
and we can condition the random variable on the event of
by supposing
then integrate over all possible values of .