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gayaneshka [121]
2 years ago
13

Evaluate 46.32 You may complete your work offline to show your thinking.

Mathematics
1 answer:
Katena32 [7]2 years ago
6 0

Answer:

you want me to round it I will edit it and show you

Step-by-step explanation:

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A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb
Maksim231197 [3]

Answer:

a) P(X = 1) = 0.38742

b) P(X = 3) = 0.05740

c) P(X = 9) = 0.00000

d) P(X \geq 5) = 0.00163

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem

There are 10 containers, so n = 10.

A food-packaging apparatus underfills 10% of the containers, so p = 0.1.

a) This is P(X = 1)

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

b) This is P(X = 3)

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

c) This is P(X = 9)

P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000

d) This is P(X \geq 5).

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

P(X < 5) + P(X \geq 5) = 1

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742

So

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837

Finally

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163

3 0
3 years ago
I need help with this​
kompoz [17]

Answer:

3

Step-by-step explanation:

8 0
2 years ago
Please help meeeee!!
Xelga [282]

Answer:

-27

Step-by-step explanation:

order of operations 2÷2 = 1 +53 =54

3x1 = 3 -5 = -2

54÷-2 = -27

5 0
2 years ago
What is the size of angle p ?
Natasha2012 [34]

Answer:

55˚

Step-by-step explanation:

1. ∡135˚ = 180-135=45˚

2. p=180-80-45

3. p=55˚

5 0
3 years ago
Read 2 more answers
What is the first step in constructing an incenter to triangle XYZ?
Dovator [93]

Answer:

Steps for Constructing the Incenter of a Triangle

Step 1: Construct an angle bisector for one of the angles of the triangle. ... Step 2: Construct an angle bisector for another angle of the triangle. ... Step 3: Find the point where these two angle bisectors intersect.

Step-by-step explanation:

7 0
2 years ago
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