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Greeley [361]
3 years ago
11

A man with 5 keys wants to open his door and tries the keys at random. Exactly one key will open the door. Determine the probabi

lity distribution of random variable X if X is the number of trials required to open the door. Assume that unsuccessful keys are NOT eliminated from future trial.
Mathematics
1 answer:
Scrat [10]3 years ago
3 0

Answer:

Step-by-step explanation:

Given that a man with 5 keys wants to open his door and tries the keys at random.

Exactly one key will open the door.

Assume that unsuccessful keys are NOT eliminated from future trial.

So the probability of choosing correct key = 0.2 = constant since unsuccessful key is not eliminated

X = no of trials required to open the door

We find that X is discrete taking values 1,2....infinity because there is a chance that continuously unsuccessful keys are drawn

P(X=x) = Prob that x-1 trials are unsuccessful and xth trial is successful

=0.8^{x-1} (0.2), x=1,2.....

is the pdf of X

This is a Geometric distirbution.

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How do I do this?? Help!
Shkiper50 [21]

Hi there!

In order to use the elimination method, you have to create one variable that has the same coefficient. This is to be able to eliminate one variable and have a one variable equation (which you can then solve).

In your case, we'll have the "x" have the same coefficient by multiplying the top equation by 4 and the bottom equation by 2 :

4( -2x + 3y = -4) → -8x + 12y = -16

2( 4x - 2y = 16) → 8x - 4y = 32


Now that both of your equation have a variable with the same coefficient, you need to choose rather you need to add or subtract the equations in order to get rid of the variable (in this case we want to get rid of the "x").

In your case, you want to add both equation together which will give you :

8y = 16


Now that you only have one variable, all you need to do now is solve the equation for "y" :

8y = 16

Divide each side of the equation by 8

y = 2 → Your answer


There you go! I really hope this helped, if there's anything just let me know! :)


7 0
3 years ago
Read 2 more answers
40 divided by(-0.25)
Allushta [10]

Answer:

-160

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Rewrite the expression ln(33^3)+ln(9^4) so that it includes the expressions ln(3) and 33 and 9 do not appear inside a natural lo
krok68 [10]

Answer:

In Section 6.1, we introduced the logarithmic functions as inverses of exponential functions and

discussed a few of their functional properties from that perspective. In this section, we explore

the algebraic properties of logarithms. Historically, these have played a huge role in the scientific

development of our society since, among other things, they were used to develop analog computing

devices called slide rules which enabled scientists and engineers to perform accurate calculations

leading to such things as space travel and the moon landing. As we shall see shortly, logs inherit

analogs of all of the properties of exponents you learned in Elementary and Intermediate Algebra.

We first extract two properties from Theorem 6.2 to remind us of the definition of a logarithm as

the inverse of an exponential function.

Step-by-step explanation:

Hope this helps

4 0
3 years ago
A parabola passes through (7, 42) and has a vertex at (-2, 6). What is the value of a?
alexdok [17]
Bru are u serious ? it’s C 7 x the parable equates with the equinox of traversal is 36/5
5 0
3 years ago
An angle measure of 55.45 is converted to DMS notation as
jek_recluse [69]

Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Step-by-step explanation:

We need to convert angle measure of 55.45 to DMS notation

DMS notation is Degree Minute and seconds

Solving:

We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.

We can write it as 55 and 0.45

So, we have 55 degrees

To find minutes we will multiply 0.45 by 60

0.45*60 = 27 minutes

Since we have no decimal value in minutes so seconds will be 0

So, DMS will be 55 degrees 27 minutes 0 seconds

Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

5 0
3 years ago
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