Answer:
0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes
Step-by-step explanation:
To solve this question, we should understand the exponential distribution and conditional probability.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
The average waiting time for this distribution is 38 minutes.
This means that [tex]m = 38, \mu = \frac{1}{38} = 0.0263[/tex]
Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes?
Event A: Taking more than 37 minutes.
Event B: More than 37 + 41 = 78 minutes.
Probability of taking more than 37 minutes:
[tex]P(A) = P(X \leq 37) = 1 - e^{-0.0263*37} = 0.6221[/tex]
More than 37 minutes and more than 78 minutes:
The intersection is more than 78 minutes, so:
[tex]P(A \cap B) = P(X > 78) = e^{-0.0263*78} = 0.1286[/tex]
The probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1286}{0.6221} = 0.207[/tex]
0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes
If you buy 4 turkey subs that in total costs 26 dollars how much would 5 turkey subs cost.
Answer:
33/32.5
Step-by-step explanation:
26 divided by 4 equals 6.5
then 6.5 times 5 equals 32.5
calculate the GPA of a student with the following grades: B (3 hours), D (8 hours), C (18 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.
Answer:
The GPA of the student is 1.83.
Step-by-step explanation:
We use a weighted average to solve this question.
We have the following grades:
B, which is equivalent to 3, with weight 3.
D, which is equivalent to 1, with weight 8.
C, which is equivalent to 2, with weight 18.
So
[tex]M = \frac{3*3 + 1*8 + 2*18}{3 + 8 + 18} = \frac{53}{29} = 1.83[/tex]
The GPA of the student is 1.83.
Pythagorean theorem
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Used to find side lengths of right triangles, a and b represent sides, while c represents the hypotenuse.
please help i'm really stuck
how will apply the lesson i have learned in real life scenari
What’s the answer to this
more on fraction
21×5
Answer:
105.
Step-by-step explanation:
21+21+21+21+21=105.
The equation x = 1 is an example of linear but not function. Why?
The Gable Construction Corporation has placed bids for installing electronic message boards on two different highways.
Because of competition from other companies, Gable Construction Corporation officials estimate that the probability that
they will be awarded the Macon Expressway contract is 0.65 and the probability that they will be awarded the Seaview
Expressway contract is 0.43. Furthermore, the probability that they will be awarded both contracts is 0.22. What is the
probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
Answer:
0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
Step-by-step explanation:
We solve this question using these events as Venn sets.
I am going to say that:
Event A: Awarded the Macon Expressway.
Event B: Awarded the Seaview Expressway.
Probability that they will be awarded the Macon Expressway contract is 0.65
This means that [tex]P(A) = 0.65[/tex]
The probability that they will be awarded the Seaview Expressway contract is 0.43.
This means that [tex]P(B) = 0.43[/tex]
Furthermore, the probability that they will be awarded both contracts is 0.22.
This means that [tex]P(A \cap B) = 0.22[/tex]
What is the
Probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway?
Only A:
[tex]P(A) - P(A \cap B) = 0.65 - 0.22 = 0.43[/tex]
Only B:
[tex]P(B) - P(A \cap B) = 0.43 - 0.22 = 0.21[/tex]
Either
0.43 + 0.21 = 0.64
0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
Pls answer this for me
Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
5 * 12 = 60
60 * 2 = 120
6 * 12 = 72
24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
i need help with everything please if you help you are a legend please.
2. Closer to 0. Because it is always getting smaller. The smaller it gets, the closer it get to 0.
3.
a. Closest to 1.
b. Closest to 0.
c. (1/12)
4.
a. Closest to 1.
b. Closest to (1/2)
c. (14/16)-(10/16)=(4/16)
Pierre found a new store where he hopes to save
money on his supplies. He bought 4 brushes and 7
tubes of paint for $32. He has another order for 6
brushes and 8 tubes of paint that will cost $43.
What is the cost of one brush? What is the cost of
one tube of paint?
heyy i need help on me hw
Answer:
the answer is b
Step-by-step explanation:
brainliest pleasee?
How many quarts are in two gallons?
2 gallons = 8 quarts
hope it's help ;3
Simplify the expression: 5(-5 + 2y) =
Please this will determine if I pass
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3
12cm and 8 cm find the ratio and reduce them in term of lowest term
Answer:
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Step-by-step explanation:
Regina read his novel three nights in a row. Each night, he read for 3/4 of an hour. How many hours did regina read his novel altogether?
Answer:
Regina read for 2 1/4 hours or 2 hours and 15 minutes
Step-by-step explanation:
100 - 50 + 4
HELP PLS PLS PLSSSSS
Answer:
54
Step-by-step explanation:
100-50+4=50+4
=54
.....
6+x=23 what is x in the equation
Can someone write down the answers pls!!!!!!!!!!
Step-by-step explanation:
6b x>=1
6c y>7
7a x>3
7b -2<=2x<6
-1<=x<3
answer:-1,0,1,2,3
Does anyone know the answer??????
Answer:
i think its the 2nd choice but im not 100% sure
What is the answer?
A)44
B)42
C)45
D)48
Answer:
44
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
because you take 3 pulse 2
ill so you the picture of it
Answer:
Of WhaT?
Thanks for the free points btw
Answer these correctly I’ll give brainalist + 10 points
-2y + 4 > 10
solve the inequality
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
2 1/3 x 3 5/6 please answer
Answer:
8 17/18
Step-by-step explanation:
I used an online calculator (calculator soup)
Answer:
8 17/18
Step-by-step explanation:
7/3 * 23/6
7*23
3*6
161/18
8 17/18
which is the least -1 1/4 or -3/2
Answer:
-3/2
Step-by-step explanation:
I just need help cause if I don’t I don’t know what imma do
Answer:
[tex]P(32) = \frac{1}{90}[/tex]
[tex]P(Odd) = \frac{1}{2}[/tex]
[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]
Step-by-step explanation:
Given
Sample Space = 10 to 99
First, we calculate the sample size (n)
[tex]n = 99 - 10 + 1[/tex]
[tex]n = 90[/tex]
Solving (a): P(32)
In 10 to 99, there is only 1 32.
So,
[tex]P(32) = \frac{n(32)}{n}[/tex]
[tex]P(32) = \frac{1}{90}[/tex]
Solving (b): P(Odd)
There are 45 odd numbers between 10 and 99
i.e.
[tex]n(Odd) = 45[/tex]
So:
[tex]P(Odd) = \frac{n(Odd)}{n}[/tex]
[tex]P(Odd) = \frac{45}{90}[/tex]
[tex]P(Odd) = \frac{1}{2}[/tex]
Solving (c): P(Multiple of 5)
There are 18 multiples of 5 between 10 and 99
i.e
[tex]P(Multiples\ 5) = \frac{18}{90}[/tex]
[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]
Helpppppppppppppppppppppppppppppppp
Answer:
2/9 in the simplist form
Step-by-step explanation:
you multiply both the fractions for the area
then simplify