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Greeley [361]
2 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]2 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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3 years ago
Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define
sashaice [31]

Answer:

Inequality = 6 + x ≤ 10

x(Number of hours more of television Sarah can still watch this week) = 4 hours

Step-by-step explanation:

Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.

We are told in the question that:

Sarah is allowed to watch no more than 10 hours of television each week.

This means :

Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.

Hence:

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Our Inequality Equation =

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x ≤ 10 - 6

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This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week

7 0
3 years ago
(1/2)2 = base y exponente
Vladimir [108]
Divides el (1/2) q es 2 pq 2*1=2 y después multiplicas 2*2=4 entonces la respuesta es 4 y es base creo
4 0
3 years ago
WORK OUT (8*10^-3)*(2*10^-4)
frutty [35]
-First we have to work out what’s in parenthesis.
(8*10^-3)=(8*0.001)=0.008

-This is for the second parenthesis
(2*10^-4)=(2*0.0001)=0.0002

-Now we multiply them together

ANSWER: 0.0000016



4 0
2 years ago
Read 2 more answers
True or false the square root of 16 is 4 explain why this is true
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true because the square root is a number times itself and 4*4 is 16

4 0
3 years ago
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