Answer:
10(n+4)
Step-by-step explanation:
this is the equation, simplified is
10n+40
Given:
μ=106.3 minutes
σ=18.5 minutes
Need to find
P(80<x<95)=>
P(x)=Z((95-μ)/σ)-Z((80-μ)/σ)
=Z(-0.61081)-Z(-1.42162)
=0.27066-0.077568
=0.1931
Therefore probability of customers waiting between 80 and 95 minutes is 0.1931
|Ω| = 6 - number of all results
A = {1, 3} → |A| = 2 - number of (a) results
P(A) = 2/6 = 1/3
Answer:
5
Step-by-step explanation:
let the number be a.
5a=25
divide both sides by 5
5a=25
5divide by 5a is a.
5divided by 25 is 5
therefore,a=5.
the number is 5
Answer:
Michael
Step-by-step explanation:
Look at the table below:
The probability of selecting a sale that was made by Quentin is .30, by Michael is .45 and by Bubba is .25.
Since Quentin completes paperwork 90% of the time, he doesn't complete paperwork 10% of the time, following this reasoning we can say that Michael doesn't complete paperwork 20% of the time and Bubba doesn't complete paperwork 15% of the time.
The probability of selecting a file and that it belongs to Quentin AND is incomplete is:
(Probability of selecting a Quentin's file) x (Probability is a Quentin incomplete file) = (0.30)(0.10) = 0.03
Using this same method we have that the probability that it belongs to Michael and is incomplete is (.45)(.20) = 0.09
That it belongs to Bubba and it's incomplete is (0.25)(0.15) = 0.037
The highest of these probabilities is the one that corresponds to Michael: 0.09, therefore he is the most likely culprit.