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
Please help and work out both questions! ill give brainlest and 20 points
raketka [301]

Answer:

Step-by-step explanation:

6. Use PEMDAS

-3 x (7 + (-3)*2) / 3

-3 x (7 + 9) / 3

-3 x 16 / 3

-48 / 3

-16

7. 9 (x) = -63

X = - 63 /9

X = -7

6 0
2 years ago
Read 2 more answers
4 students equally share 2/3 of a pizza
oee [108]

\frac{2}{3} *4

=\frac{2*4}{3}

=\frac{8}{3}

2.67 or 2 \frac{2}{3}

6 0
3 years ago
Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?
lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point (15,0):

15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0

So, (15, 0) satisfies all the inequalities

For point (7.5,7.5):

7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in s\geq 15-t

7.5\geq 15-0=15 which is false

So, (s,t)\neq (7.5,0)

7 0
2 years ago
Transformations reflection practice
SOVA2 [1]

Answer:

The Reflection:

<em>'T</em>(-2,-2), <em>'C</em>(-2,-5), <em>'Z</em>(-5,-4), <em>'F</em>(-5,0)

5 0
2 years ago
log8x=2 solve for x by converting the logarithm to an exponential equation. (i already know the answer is 12.5 but i need the wr
swat32

Answer:

pooooooo

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • how many of the first ten positive whole numbers can be expressed as the sum of two different prime numbers?
    6·1 answer
  • (8x10^-3) ÷ (2x10^-4)​
    14·1 answer
  • Form a normally distributed population, a simple random sample of size 30 is taken. the mean of the sample is 144 and the standa
    8·1 answer
  • Four friends went on a trip and spent $51.20 on gas. Jackie brought $12.25. Will she be able to pay her share of gas if they spl
    11·2 answers
  • Please help! will give brainlist
    10·1 answer
  • The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.
    6·1 answer
  • Using cramer’s rule, what is the value of y in the system of linear equations below? 2x-y=3 5x-2y=8
    14·2 answers
  • If three men working at the same hourly rate are paid a total of $52.08 for a day's work, how much should be paid to five men at
    8·2 answers
  • )) Which sign makes the statement true?<br> 47.1% ? 47%<br> &lt;<br> =<br> Submit
    6·1 answer
  • PLEAS HELP , I NEED IT RIGHT NOW PLEASE , JUST SAY YES OR NO PLEASE​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!