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
Nana76 [90]
3 years ago
14

An urn contains r red balls and b blue balls. One ball is selected at random from this urn, its color is recorded and it is retu

rned to the urn along with m additional balls of the same color as chosen. Another single ball is randomly selected from the urn (now containing r b m balls) and it is observed that the ball is blue. What is the conditional probability that the first ball selected is red given that the 2nd ball selected is observed to be blue?
Mathematics
1 answer:
nadezda [96]3 years ago
5 0

Answer:

Zero

Step-by-step explanation:

The probability of the ball being red after first selection is = (r) ÷ (r+b)

The probability of the ball being blue after first selection is = (b) ÷ (r+b)

If the ball selected is red, the total number of balls after its returned together with m number of red balls is = r+b+m

The probability of the  selection doesn't depend on the second selection, hence condition probability is zero.

However the probability of the second selection depends on the first selection.

You might be interested in
All real numbers between −14 and 14 inclusive
Vladimir79 [104]

Answer:

-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

6 0
3 years ago
Read 2 more answers
Timmy is building a new website. Right after he starts, he has 2 visitors. He expects his visitors to increase according to a mo
Alex73 [517]

Answer:

He gets 42 visitors 4 weeks after starting to build his website.

He gets 10 new visitors per week.

Step-by-step explanation:

Equation for the number of visitors:

The equation for the number of visitors Timmy's new website receives after t weeks is:

v(t) = 10t + b

In which b is the number of visitors rightly after he starts.

Timmy is building a new website. Right after he starts, he has 2 visitors.

This means that b = 2, so:

v(t) = 10t + 2

How many visitors does he get 4 weeks after starting to build his website?

This is v(4). So

v(4) = 10(4) + 2 = 40 + 2 = 42

He gets 42 visitors 4 weeks after starting to build his website.

How any new visitors does he get per week?

After 0 weeks:

v(0) = 10(0) + 2 = 0 + 2 = 2

After 1 week:

v(1) = 10(1) + 2 = 10 + 2 = 12

2 weeks:

After 2 week:

v(2) = 10(2) + 2 = 20 + 2 = 22

22 - 12 = 12 - 2 = 10

He gets 10 new visitors per week.

5 0
3 years ago
Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that
Maksim231197 [3]

Complete Question

The Brown's Ferry incident of 1975 focused national attention on the ever-present danger of fires breaking out in nuclear power plants. The Nuclear Regulatory Commission has estimated that with present technology there will be on average, one fire for every 10 years for a reactor. Suppose that a certain state has two reactors on line in 2020 and they behave independently of one another. Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that by 2030 at least two fires will have occurred at these reactors?

Answer:

The value is P(x_1 + x_2 \ge 2 )= 0.5940

Step-by-step explanation:

From the question we are told that

     The rate at which fire breaks out every 10 years is  \lambda  =  1

  Generally the probability distribution function for Poisson distribution is mathematically represented as

               P(x) =  \frac{\lambda^x}{ k! } * e^{-\lambda}

Here x represent the number of state which is  2 i.e x_1 \ \ and \ \ x_2

Generally  the probability that by 2030 at least two fires will have occurred at these reactors is mathematically represented as

          P(x_1 + x_2 \ge 2 ) =  1 - P(x_1 + x_2 \le 1 )

=>        P(x_1 + x_2 \ge 2 ) =  1 - [P(x_1 + x_2 = 0 ) + P( x_1 + x_2 = 1 )]

=>        P(x_1 + x_2 \ge 2 ) =  1 - [ P(x_1  = 0 ,  x_2 = 0 ) + P( x_1 = 0 , x_2 = 1 ) + P(x_1 , x_2 = 0)]

=>  P(x_1 + x_2 \ge 2 ) =  1 - P(x_1 = 0)P(x_2 = 0 ) + P( x_1 = 0 ) P( x_2 = 1 )+ P(x_1 = 1 )P(x_2 = 0)

=>    P(x_1 + x_2 \ge 2 ) =  1 - \{ [ \frac{1^0}{ 0! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]] )+ ( [ \frac{1^1}{1! } * e^{-1}] * [[ \frac{1^1}{ 1! } * e^{-1}]] ) + ( [ \frac{1^1}{ 1! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]]) \}

=>   P(x_1 + x_2 \ge 2 )= 1- [[0.3678  * 0.3679] + [0.3678  * 0.3679] + [0.3678  * 0.3679]  ]

P(x_1 + x_2 \ge 2 )= 0.5940

               

3 0
3 years ago
What is the difference between<br> a terminating decimal and a repeating<br> decimal?
yan [13]

Answer:

Terminating means to add. Repeating goes on forever and ever and ever.

Step-by-step explanation:

Example of terminating: 3.256

Example of repeating: 3.256934103...

A good repeating decimal would be pi.

7 0
3 years ago
Geometry: complete this proof of theorem 14, ASAP!
PtichkaEL [24]

Answer:

1. Transversal y intersects lines m and n; <1 ~= <2 (Given)

2. <1 ~= <3 (Vertical Angles Theorem)

3. <2 ~= <3 (Transitive Property of Congruence)

4. m || n (Converse of Alternate Interior Angles Theorem)

3 0
2 years ago
Other questions:
  • The probability that it is Friday and that a student is absent is 0.03. Since there are five school days in a week, the probabil
    13·1 answer
  • Simplify <br> x + x + y x y<br> plz thx
    10·2 answers
  • Of the volunteers coming into a blood center, 1 in 3 have O+ blood, 1 in 15 have O-, 1 in 3 have A+, and 1 in 16 have A-. The na
    14·1 answer
  • A rectangular plot of land has an area of 9/10 square mile. The length is 3/2 miles. What is the width?​
    10·2 answers
  • Whats is the difference between complementary angles &amp; supplementary angles. some things to include in your answer: what is
    12·1 answer
  • What is the quotient of 12 and -1/2
    7·1 answer
  • Brian has a 1.8288-meter long piece of pipe. He needs to cut it into four equal
    5·1 answer
  • Melanie has a chocolate chip cookie recipe that uses 2 cups of sugar for 6 dozen cookies. How much sugar will she need if he onl
    10·1 answer
  • N is less than 15 and greater than or equal to 3 On a number line
    6·1 answer
  • Completed in 1863 , the dome is one of the most recent additions to the United States Capitol. It is supported by 36 iron ribs a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!