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
agasfer [191]
3 years ago
13

New codes to destroy the First Order are known to exist. With probability 0.6, the codes are hidden by Leia; with probability 0.

4, they are hidden by Han Solo. When Leia hides the codes, she hides them with BB-8 70% of the time and with C-3PO 30% of the time. Han Solo is equally likely to hide them with BB-8 and C-3PO a. What is the probability that the codes are with BB-8? b. Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?
Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer: (a). 0.62 (b). 0.53

Step-by-step explanation:

Let us start by defining some events seen:

Given;

L rep the event that codes hidden Leia

BB represents the codes hidden in BB-8

H is the event that codes hidden by Hah

C-3PO rep the codes hidden in C3PO

Giving the probabilities, we have that

P(L)  =  probability that codes are hidden by Leia = 0.6

P(H) = probability that codes are hidden by Hah = 0.4

where P(BB/L) = 70/10 i.e 70%

P(C-3PO/L) = 1 - P(BB/L) = 1 - 7/10 = 3/10

Also, P(BB/H)  = 1/2 = P(C-3PO/H)

We can say that Han Solo is likely to hide them in aceta BB-8 and C-3PO

To begin,

(a). The question tell us to find the probability that the codes are with BB-8.

First of all, we find P(BB).

P(BB) = P(L)*P(BB/L) + P(H)*P(BB/H)

solving this we get

P(BB) = 0.6*7/10 + 0.4*1/2 = 0.62

Therefore,  the probability that the codes are with BB-8 = 0.62

(b). The second question says;

Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?

This tell us to find P(H/C-3PO)

P(H/C-3PO) = P(C-3PO/H)*P(H) / P(C-3PO/H) + P(C-3PO/L)*P(L)

inputting the values gives us;

P(H/C-3PO) = 1/2 * 0.4 / ( 1/2 *0.4 + 3/10 *0.6) = 0.53

SO we have that the probability the codes were hidden by Han Solo = 0.53

cheers I hope this was helpful!!

You might be interested in
The amount of Jen’s monthly phone bill is normally distributed with a mean of $75 and a standard deviation of $8. What percentag
nikklg [1K]
Answer:a is the answer
8 0
3 years ago
Which statement about the function f(x)=|x+3| is true?
Stels [109]

The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

What do you mean by absolute maximum and minimum ?

A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.

It is given that function is f(x) = |x + 3|.

We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.

So , if we put |x + 3| = 0 , then :

± x + 3 = 0

±x = -3

So , we can have two values of x which are either -3 or 3.

The value 3 will be absolute maximum and -3 will be absolute minimum.

Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

Learn more about absolute maximum and minimum here :

brainly.com/question/17438358

#SPJ1

5 0
11 months ago
A number x divided by 3 is at most 5 An inequality that represents this word sentence is
svet-max [94.6K]

Answer:

x/3 ≥ 5

Step-by-step explanation:

4 0
3 years ago
100 points! Please help ASAP! Look at the picture attached. I will mark brainliest
cricket20 [7]

Answer:

  • 116 ft

Step-by-step explanation:

Midsegment is the half the length of the parallel side of the triangle.

So parallel sides of the triangles, which are the side of the base of the pyramid are:

  • 58*2 = 116 ft
5 0
2 years ago
Read 2 more answers
PEAK
lidiya [134]
The answer to the question is 8.25
5 0
3 years ago
Other questions:
  • For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 32 24 16 8 8
    15·1 answer
  • Someone please help me with this asap
    10·1 answer
  • Jeffrey runs at an average speed of 8 mph and he bikes at an average speed of 14 mph.
    9·1 answer
  • 16y^4+16y^3+48y^2 mngjhkfhjfdhbkjbf vbbv hbvjhbdv hjbjhvbjhvb
    7·1 answer
  • find the number 15 balls consisting of 5 black, 5 blue nd 5 white balls from a box which has 6 black, 7 blue and 8 white balls (
    7·1 answer
  • A bag contains 80 marbles . If the probability of drawing a yellow marble is 3/5 and the probability of drawing a red marble is
    5·1 answer
  • Jaerd made 12 3/4 cups of snack mix for a party. His guest ate 2/3 of the mix. How much snack did his guest eat
    9·2 answers
  • Rocco buys a radio for $43.99 in a state where the sales tax is 7%. Calculate the sales tax. *
    15·2 answers
  • ...................................................... ............................................
    9·1 answer
  • 2^8 * 2^9* 4 = ? <br> Help a brotha out please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!