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3 years ago

Consider the salt shaker shown

Mathematics

1 answer:

Debora [2.8K]3 years ago

4 0

Hi can you post a pic of the question thanks

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Arron just paid $7.40 for a new pair of sunglasses. His father told him that prices were different 10 years ago. Then his grandf

kotykmax [81]

Arrogant has 101 dollars

Later he ,Ames 22 dollars after find
The money hey makes is more then the money they make

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2 years ago

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

vladimir1956 [14]

Answer:

a) P(X ≤ 2) = 0.87

b) P(X ≥ 5) = 0.01

c) P(1 ≤ X ≤ 4) = 0.71

d) P ( X = 0 ) = 0.28

e) σ(X) = 1.09 , E(X) = 1.25

Step-by-step explanation:

Given:

- Let X = the number of defective boards in a random sample of size n = 25, so X ~ Bin(25, 0.05)

Where, n = 25 and p = 0.05

Find:

(a) Determine P(X ≤ 2).(b) Determine P(X ≥ 5).(c) Determine P(1 ≤ X ≤ 4).(d) What is the probability that none of the 25 boards is defective?(e) Calculate the expected value and standard deviation of X.

Solution:

- The probability mass function for a binomial distribution is given by:

P ( X = x ) = nCr * (p)^r * ( 1 - p )^(n-r)

a) P(X ≤ 2):

P(X ≤ 2) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 )

= (0.95)^25 + 25*0.05*0.95^24 + 25C2*0.05^2*0.95^23

= 0.87

b) P(X ≥ 5):

P(X ≥ 5) = 1 - [P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

= 1 - [ 0.87 + 25C3*0.05^3*0.95^22 + 25C4*0.05^4*0.95^21]

= 1 - 0.98994

= 0.01

c) P(1 ≤ X ≤ 4):

P(1 ≤ X ≤ 4) = P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

= ( 0.87 - 0.95^25) + 0.11994

= 0.71

d) P( X = 0 )

P ( X = 0 ) = 0.95^25 = 0.28

e) E(X) & σ(X):

E(X) = n*p

E(X) = 25*0.05 = 1.25

σ(X) = sqrt ( Var (X) )

σ(X) = sqrt ( n*p*(1-p) ) = sqrt ( 25*0.05*0.95 )

σ(X) = 1.09

4 0

3 years ago

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vovikov84 [41]

Answer:

this is square pyramidal

7 0

2 years ago

Matthew drove 8/16 of the way to Kentucky and Fred drove the other 1/2 distance of the distance who drove the most

Leviafan [203]

Both drove the same distance because you can draw a picture and you see its equal

4 0

3 years ago

Read 2 more answers

Amerada Hess company wants to make an oil container tank. Engineers are shown a sample tank. which is 1 meter in height, and the

bagirrra123 [75]

Since the sample is 1/25 the size and the size of the sample is 1m then:

$1 = \frac{1}{25} x$

x is the height of our container. we need to move 1/25 to the other side so we multiply both sides of the equation by 25.

$25 \times 1 = \frac{1}{25} x \times 25$

On the right side of the equation, 1/25 cancels out with 25 since:

$\frac{1}{25} \times 25 = 1$

so we are left with the 25 x 1 on the left:

$25 = x$

so the container is 25m; C.

3 0

3 years ago