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
The rate Ritz can eat apples is 8/15 apples per minute.
Set the rate (which is measured apples / minutes) equal to 16 apples / t minutes.
(8/15) = (16/t)
Cross multiply.
16*15 = 8t
t = 20
The answer is 30 minutes. You could solve the problem with basic reasoning as well. 16 is twice the number of apples as 8, so the time it takes to eat them will be double 15 minutes.
Answer: 11:7
Step-by-step explanation:
Number of green colored pencils=11
Number of blue colored pencils= 7
Number of red colored pencils= 3
Total number of colored pencils= 11+7+3= 21
Ratio of green colored pencils to blue colored pencils= 11:7
The answer to this is,1/4.