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Tanya [424]
3 years ago
8

Find UD if GD = 5 Use picture below. ​

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

10

Step-by-step explanation:

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Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X deno
Roman55 [17]

Answer:

a) P(X>np+3\sqrt{np(1-p)}=0.017

b) P(x>1)=0.190

c) P(Y>1)=0.651

Step-by-step explanation:

This a binomial experiment where success is denoted by parts that need rework.

X ∼ B(n, p); n = 20; p = 0.01

The expected value of X is: E(X) = np =20×0.01= 0.2

The variance is: Var(X) = np(1 − p) = 0.2 × 0.99 = 0.198,

The standard deviation SD(X)= \sqrt{0.198} ≈ 0.445

a) P(X>np+3\sqrt{np(1-p)}=P(X>0.2+3×0.445)=P(X>1.535)=P(X≥2)

Probability function is given by:

\frac{n!}{x!(n-x)!} *p^x*(1-p)^{(n-x)}

P(X≥2)=1-P(X<2)=1-P(X=1)-P(X=0)= 1 - \frac{20!}{1!(20-1)!} *(0.01)^{1}*(1-0.01)^{(20-1)}-\frac{20!}{0!(20-0)!} *(0.01)^{0}*(1-0.01)^{(20-0)}

P(X≥2)=1-0.165-0.818=0.017

b) p=0.04

P(x>1)=P(x≥2)= 1 - P(x=1) - P(x=0)= 1 - \frac{20!}{0!(20-1)!} *(0.04)^{1}*(1-0.04)^{(20-1)} - \frac{20!}{0!(20-0)!} *(0.04)^{0}*(1-0.04)^{(20-0)}

P(x>1)= 1 - 0.368 - 0.442=0.190

c) In this case we consider p=0.19 (Probability that X exceeds 1)

In this experiment Y is the number of hours and n= 5 hours.

Then, we check the probability in each hour:

P(Y>1)=1- P(Y=0)

P(Y=0)=\frac{5!}{0!(5-0)!} *(0.19)^{0}*(1-0.19)^{(5-0)}=0.349

P(Y>1)=1-0.349=0.651

3 0
3 years ago
Find the length AB round your answer to the tenth
Kobotan [32]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

AB =  \sqrt{ ({3 - ( - 2)})^{2} +  ({4 - 0})^{2}  }  \\

AB =  \sqrt{ ({3 + 2})^{2} +  {4}^{2}  }

AB =  \sqrt{ {5}^{2} +  {4}^{2}  }

AB = \sqrt{25 + 16}

AB = \sqrt{41}

AB = 6.403

AB = 6.4

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

3 0
3 years ago
What is 3.7 as a mixed number
Sophie [7]

Answer:

3 7/10

Step-by-step explanation:

37/10 = 3 7/10

6 0
3 years ago
Can you please help me graph x+y=0
vaieri [72.5K]
If you subtract x from each side, it says  Y = -x .
That tells you that the slope of the graph is -1, and the y-intercept is zero.

The graph is a straight line, passing through the origin.
It slopes DOWN from left to right, at an angle of 45 degrees.
6 0
3 years ago
15. There is a 25% chance of rain tomorrow. The probability that the price of gold rises tomorrow is 37%. The probability that i
Alchen [17]

Step-by-step explanation:

yes, the 2 events are entirely independent

neither one influences the other.

3 0
2 years ago
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