Answer:
a) 0.0025
b) 0.9975
c) 23.03 minutes
d) 23.03 minutes
Step-by-step explanation:
Let X be the random variable that measures the time waited for a taxi.
If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is
a)
1 hour = 60 minutes, so the probability that you wait longer than one hour is
b)
Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes
c)
We want x so that
P(X>x)=0.1
d)
We want P(X<x)=0.9
we know that
The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.
The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.
If the probability that any one egg has 1/6 chance of salmonella
then
the probability that any one egg will not have salmonella = 5/6.
Therefore
for all 5 to not have salmonella
= (5/6)^5 = 3125 / 7776
= 0.401877 = 0.40 to 2 decimal places
REMEMBER this is the probability that NONE have salmonella
Therefore
the probability that at least one does = 1 - 0.40
= 0.60
the answer is
0.60 or 60%
Answer:
Calculated risks are risks that we can take even if we fail. Indeed, there are people willing to risk everything, and some even succeed, in doing so, but one has to see the overall picture in mind and only then make a decision
The <em>correct answer</em> is:
The diagonals of the parallelogram are congruent.
Explanation:
In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.
Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.
The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.
The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.
Answer:
a = 300
Step-by-step explanation:
so 5/a=60
multiply 60 by 5