(A) Police plan to enforce speed limits by using radar trapsat 4 different locations within the city limits. The radar traps ateach of the locations L1, L2, L3, and L4 are operated 40%, 30%,20%, and 30% of the time, and if a person who is speeding on hisway to work has probabilities of 0.2, 0.1, 0.5, and 0.2,respectively, of passing through these locations, what is theprobability that he will receive a speeding ticket? (B) The person received a speeding ticket on his way towork, so what is the probability that he passed through the radartrap located at L2?

0.27

0.1111111

Step-by-step explanation:

Given that:

X :

L1 = 40% = 0.4

L2 = 30% = 0.3

L3 = 20% = 0.2

L4 = 30% = 0.3

P(x) :

L1 = 0.2

L2 = 0.1

L3 = 0.5

L4 = 0.2

A.)

Σ(X * p(x))

(0.4 * 0.2) + (0.3*0.1) + (0.2*0.5) + (0.3 * 0.2) = 0.27

B.) Radartrap located at L2:

P(L2) = (L(x2) * p(L2)) / Σ(X * p(x))

= (0.1 * 0.3) / 0.27

= 0.1111111

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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