1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Readme [11.4K]
3 years ago
6

A certain university has 18 vehicles available for use by faculty and staff. Five of these are vans and 13 are cars. On a partic

ular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen at random from the 18 vehicles available. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is P(E)? (b) Let F denote the probability that the second vehicle assigned is a van. What is P(F | E)? (c) Use the results of parts (a) and (b) to calculate P(E ∩ F).
Mathematics
1 answer:
Reil [10]3 years ago
5 0

Answer:

a

 P(E) = 0.278

b

  P(F |E) = 0.2353

c

P(E and  F) = 0.0654

Step-by-step explanation:

The number of vehicles available is N  =  18

The number of vans is k = 5

The number of cars is n = 13

Generally P(E) is mathematically represented as

P(E) =  \frac{k}{N}

=>    P(E) =  \frac{5}{18}

=>    P(E) = 0.278

Generally P(F| E)  means the probability that the second vehicle assigned is  a van given that the first one selected is a van this mathematically calculated as

      P(F |E) =  \frac{5 -1}{18-1}

        P(F |E) =  \frac{4}{17}

        P(F |E) = 0.2353

Generally  P(F | E) is also mathematically represented as

      P(F | E) = \frac{P(E and F)}{P(E)}

=>   P(E and  F) =P(E) * P(F | E)

=>   P(E and  F) = 0.278  * 0.2353

=>P(E and  F) = 0.0654

You might be interested in
Find the value of x.<br> F<br> 8<br> E<br> Х<br> Н.<br> Х<br> -
Vladimir79 [104]

Answer:

Step-by-step explanation:

x = 8

3 0
2 years ago
A shirt is on sale for 25% off and you paid $21.75. What was the original cost of the shirt?
evablogger [386]

Answer:

16.31

Step-by-step explanation:

16.31 is your new price

4 0
2 years ago
Read 2 more answers
If 7x+10=44, what is the value of 7x-50?
Daniel [21]

Answer:

-16

Step-by-step explanation:

So let’s solve for 7x. So 7x=34. So 7x-50 is 34-50 or -16

6 0
2 years ago
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of th
Minchanka [31]
10 squared + 13 squared = your answer squared.
So do that then take the square root of whatever you get.
4 0
3 years ago
Chris has finished 30% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate,
Sveta_85 [38]
There was already a question like this on here so i’m going off the answer already given: 30 hours, i hope it’s right
3 0
2 years ago
Read 2 more answers
Other questions:
  • A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 95% pure anti
    10·1 answer
  • The graph shows the system equations that can be used to solve x^3+x^2=x-1
    7·2 answers
  • Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.
    13·1 answer
  • Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
    6·1 answer
  • (45 POINTS) Which graph represents a function with direct variation?
    10·1 answer
  • What is the product of the binary numbers 0101 and 0101?
    11·1 answer
  • I’ve been stuck in this i’ve been thinking it’s 104 but it says it’s not
    14·2 answers
  • Ava borrows $600 to buy a bike at a yearly simple interest
    7·1 answer
  • Which of the following statements is true?
    7·2 answers
  • What is 1.5 as a ratio plz help ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!