Question

1a) If P(F) = 0.10 and P(E|F) = 0.50, determine P(E ∩ F). 1b) Consider a large ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let x and y denote the number of cars and buses, respectively, carried on a single trip. Cars and buses are accommodated on different levels of the ferry, so the number of buses accommodated on any trip is independent of the number of cars on the trip. Suppose that x and y have the probability distributions shown below: x 0 1 2 3 4 5 p(x) 0.06 0.09 0.25 0.32 0.19 0.09 y 0 1 2 p(y) 0.40 0.20 0.40 Standard deviation of x? Standard deviation of y Variance of the total amount of money collected in tolls from cars? Variance of the total amount of money collected in tolls from buses ? Variance of z ? Variance of w

          1a) 
If 
P(F) = 0.10
 and 
P(E|F)
= 0.50,
 determine 
P(E ∩ F).
1b) Consider a large ferry that can accommodate cars and
buses. The toll for cars is $3, and the toll for buses is $10.
Let x and y denote the number
of cars and buses, respectively, carried on a single trip. Cars and
buses are accommodated on different levels of the ferry, so the
number of buses accommodated on any trip is independent of the
number of cars on the trip. Suppose
that x and y have the
probability distributions shown below:
x
0
1
2
3
4
5
p(x)
0.06
0.09
0.25
0.32
0.19
0.09
y
0
1
2
p(y)
0.40
0.20
0.40
Standard deviation of x?
Standard deviation of y 
Variance of the total amount of money collected in tolls from
cars?
Variance of the total amount of money collected in tolls from
buses ?
Variance of z ?
Variance of w

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Added by Amparo F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jerelyn Nevil

11/19/2022

Step 1

06 + 1*0.09 + 2*0.25 + 3*0.32 + 4*0.19 + 5*0.09 = 2.73 E(X^2) = 0^2*0.06 + 1^2*0.09 + 2^2*0.25 + 3^2*0.32 + 4^2*0.19 + 5^2*0.09 = 9.81 Var(X) = 9.81 - 2.73^2 = 2.0079 Show more…

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1a) If P(F) = 0.10 and P(E|F) = 0.50, determine P(E ∩ F). 1b) Consider a large ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let x and y denote the number of cars and buses, respectively, carried on a single trip. Cars and buses are accommodated on different levels of the ferry, so the number of buses accommodated on any trip is independent of the number of cars on the trip. Suppose that x and y have the probability distributions shown below: x 0 1 2 3 4 5 p(x) 0.06 0.09 0.25 0.32 0.19 0.09 y 0 1 2 p(y) 0.40 0.20 0.40 Standard deviation of x? Standard deviation of y Variance of the total amount of money collected in tolls from cars? Variance of the total amount of money collected in tolls from buses ? Variance of z ? Variance of w

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00:01 So for this, it wants to know, considering a large ferry that can accommodate cars and buses, the toll for cars is $3.

00:08 The toll for buses is $10.

00:11 Let x and y denotes the number of cars and buses respectively carried on a single trip.

00:17 Cars and buses are accommodated on different levels of the ferry.

00:20 So the number of buses can accommodate any trip is independent of the number of cars on the trip.

00:26 So x and y are the probability distribution shown below.

00:30 So it wants the standard deviation of x.

00:33 So the standard deviation of x is, see, more function, standard deviation, and i'm just going to put my cursor here.

00:45 Oh, come on.

00:48 And standard deviation of x is that standard deviation.

00:53 Let me see if it will do of y, which is b.

00:59 Okay, so i just dragged it on down.

01:01 The variance of the total money collected from, what is that? variants of the total amount of money collected in the tolls from the cars.

01:15 So the toll cars is $3 and the toll buses is $10.

01:21 Let x and y denote the number of cars and buses respectively carried on a single trip.

01:30 Okay, so x and y denote the total number of cars and buses, respectively carried on the trip...

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