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scZoUnD [109]
3 years ago
9

The space shuttle flight control system called PASS (Primary Avionics Software Set) uses four independent computers working in p

arallel. At each critical step, the computers "vote" to determine the appropriate step. The probability that a computer will ask for a roll to the left when a roll to the right is appropriate is 0.003. Let X denote the number of computers that vote for a left roll when a right roll is appropriate. What is the probability mass function of X
Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Answer:

f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}

Step-by-step explanation:

Recall that a <em>probability mass function</em> defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k

f_X(k)=P(X=k)

In this case we have the event  

“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.

Then we have 2 possible events, either the computer is right or not.

Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function

f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}

This gives the probability that k computers are wrong at the same time.

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Answer:

96/16 equals 6

Step-by-step explanation:

6 pounds is the answer

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2 years ago
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You and your friends order a meal for $63.64. Calculate the amount you should leave for a 20% tip. Show you
Nostrana [21]

Answer:

12.73

Step-by-step explanation:

$63.64 * .20 = 12.73

6 0
2 years ago
Find the X COORDINATE OF THE intersection of 9x - 6y = 12 and 3x + 2y =8
yaroslaw [1]

Answer: x=2

Step-by-step explanation:

Given a System of linear equations, the solution of the system is the point (x,y) in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.

Having the following System of equations:

\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.

You can use the Elimination method to find the value of "x":

-Multiply the second equation by 3.

- Add the equations.

- Solve for "x".

Then, you get:

\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=\frac{36}{18}\\\\x=2

8 0
3 years ago
S=[E,F,G,H,J] identify the ways to select two members from s allowing the repetition
Fofino [41]

Answer: There are 25 ways to select two members.

Step-by-step explanation:

Since we have given that

S={E,F,G,H,J}

Number of elements = 5

We need to select two members from S allowing the repetition.

We will use "Fundamental theorem of counting":

There are 5 choices for the first member.

There are 5 choices for the second member.

So, Number of ways would be

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Hence, there are 25 ways to select two members.

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3 years ago
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dlinn [17]

Answer:

Step-by-step explanation:

a) We have 15! as the product of 1 to 15 natural numbers.  Since 17 is prime there will be no factor common to these

By actual division we find

15! (mod 17) =16

From this we deduce

even 16! mod 17 = 16 = -1

According to Wilson theorem

(17-1)! = -1 mod 17

Thus verified 17 is prime

Hence 15! (mod 17) =-1=16

-----------------------

b) 2(26!) is divided by 29

Since 29 is prime

(29-1)! = -1 mod 29

28! = -1 mod 29 = 28

When divided this gives 25 as remainder

4 0
4 years ago
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