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torisob [31]
2 years ago
9

Please help me :) i need answers to A and B

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
6 0

Answer:

a - 162

b - 234

Step-by-step explanation:

mental mathed it

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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
2 years ago
Please help it's me! ​
Sever21 [200]

9514 1404 393

Answer:

  5

Step-by-step explanation:

The left side simplifies to ...

  2x +16

The right side simplifies to ...

  2x +21 -__

The x-terms are already equal. To make the constant terms equal, we want ...

  16 = 21 -__

The blank must be filled with the value 21-16 = 5 to make the statement true.

5 goes in the blank.

6 0
3 years ago
If the output and input of a linear equation are proportional, where will the graph of the equation cross the x-axis?
mars1129 [50]

Answer:??? I don't know

Step-by-step explanation:

???

5 0
2 years ago
If a pair of shoes has an original price of 80 and they are on sale for 48, what is the percent of discount?
defon
60% is the correct answer.
8 0
3 years ago
Read 2 more answers
On monday caroline spent 2/3hour riding her bike and 1 3/4 doing homework how many more hours did caroline spend doing homework
Andrej [43]
2/3 hour is 40 minutes. 1 3/4 hour is 1 hour and 45 minutes. So she spent 1 hour and 5 minutes or 1 1/12 hour longer doing homework.
8 0
3 years ago
Read 2 more answers
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