Answer:
The distribution is 
Solution:
As per the question:
Total no. of riders = n
Now, suppose the
is the time between the departure of the rider i - 1 and i from the cable car.
where
= independent exponential random variable whose rate is 
The general form is given by:

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:


Now, the sum of the exponential random variable with
with rate
is given by:

Answer:
The minimum score required for admission is 21.9.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?
Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So




The minimum score required for admission is 21.9.
Answer:
41/5
Step-by-step explanation:
So the answer is that 8 1/5 as a decimal is 8.2.
We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.
Is there supposed to be an image? Adjacent is adjoining, so like touching each other. Vertical is "up". Horizontal is "side"
Answer:32mm
Step-by-step explanation:
area of triangle = 1/2 *base * height
192mm2 = 1/2 *b* 12mm
192 =6b
base=192/6
base= 32mm