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3 years ago

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9.0 3.5 140 ----- 12 12 units?

1 answer:

xz_007 [3.2K]3 years ago

7 0

Mdndkddjntrhd hccjdjdj the dodo

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a certain pharmaceutical company know that, on average 4% of a certain type of pill has an ingredient that is below the minimum

FinnZ [79.3K]

Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The sample has 20 pills, hence $n = 20$ .

100 - 4 = 96% are acceptable, hence $p = 0.96$

The probability that <u>fewer that 5 in a sample of 20 pills</u> will be acceptable is:

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

In which

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

$P(X = 0) = C_{20,0}.(0.96)^{0}.(0.04)^{20} = 0$

$P(X = 1) = C_{20,1}.(0.96)^{1}.(0.04)^{19} = 0$

$P(X = 2) = C_{20,2}.(0.96)^{2}.(0.04)^{18} = 0$

$P(X = 3) = C_{20,3}.(0.96)^{3}.(0.04)^{17} = 0$

$P(X = 4) = C_{20,4}.(0.96)^{4}.(0.04)^{16} = 0$

0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

A similar problem is given at brainly.com/question/24863377

8 0

3 years ago

I NEEEEEED HEEEEEEEP PLZZZZZZZZ

Tema [17]

So, since the student makes $30 each week, we can disregard the number of hours.

So, we can model this situation by the following equation

9.5h+30

So, if he works 10.25 hrs (15 minutes = .25 of 1 hr) we just plug that number in

$9.5h+30\\9.5(10.25)+30\\127.275$

Since it's money we round to the nearest cent

So he will make $127.28 Next week

6 0

3 years ago

Tom owns a $160,000 home, for which he has a 30-year mortgage in the amount of $900 a month. Once he has paid off the mortgage,

julsineya [31]

A he will pay $164,000

8 0

3 years ago

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blondinia [14]

Answer:

23.44%

Step-by-step explanation:

The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5

= 0.01116

There are 7C2 ways of the 2 4's being in different positions

= 7*6 / 2 = 21 ways.

So the required probability = 0.01116 * 21

= 0.2344 or 23.44%.

3 0

3 years ago

A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. The block is a rectangular prism with a length of

Fed [463]

Answer:

6

I took the test

6 0

3 years ago

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