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Korolek [52]
2 years ago
7

A conductor is mapping a trip and records the distance the train travels over certain time intervals.

Mathematics
1 answer:
leonid [27]2 years ago
6 0
In half an hour the trains travels 22.5 miles
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A sequence of Bernoulli trials consists of choosing components at random from a batch of components. A selected component is eit
Drupady [299]

Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial 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 combinations 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.

The probability that a selected component is non-defective is 0.8

This means that p = 0.8

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

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

P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

p = (0.8)^8*0.2 = 0.0336

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

4 0
3 years ago
Please help i will give crowns
jeka57 [31]

Answer:

1/24

Step-by-step explanation:

(1/6) divided by 4

(1/6)/4

is the same as

1/(6*4) = 1/24

4 0
2 years ago
Which number is composite?<br> 31<br> 43<br> 37<br> 49
Alina [70]

A composite number is one that can be made by multiply two numbers to each other. Since 49=7*7, 49 is a composite number.

Check:

You can check a multiplication chart, but you will see that 49 is the only one that can be multiplied by 2 numbers

4 0
3 years ago
Based on the information below, choose the correct answer.
Arte-miy333 [17]
The dollar amount of each monthly payment is interest
7,865.87÷120=65.55

The percent of the total payments is total interest
(7,865.87÷27,865.87)×100=28.2%
5 0
3 years ago
a piece of art is in the shape of an equilateral triangle with side of 6 inches what is the area of the art
Nitella [24]
Area=1/2 times base times height
for equilateral triangle, if base is x, then height is (x√3)/2

so if base is 6 then height is (6√3)/2=3√3

area is 1/2 times 6 times3√3=3 times 3√3=9√3 sqare inches
8 0
3 years ago
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