1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NISA [10]
2 years ago
9

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

strength and thus unacceptable. what is the probability that fewer that 5 in a sample of 20 pills will be acceptable?
Mathematics
1 answer:
FinnZ [79.3K]2 years ago
8 0

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

You might be interested in
Shelly biked 21 miles in 4 hours. What is Shelly average speed in miles per hour
Maksim231197 [3]
To solve this, you would divide the miles by the number of hours, 21 / 4
21 divided by 4 equals 5.25
3 0
2 years ago
Read 2 more answers
PLEASE HELP!!!!<br> For the given piecewise function , find the value of F(-7) and f(0)
Andrews [41]

F(-7) = -3

F(0) = 4

.

.

SO A

8 0
3 years ago
The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?
levacccp [35]
The ratio of linear dimensions (side lengths) is the square root of the ratio of areas.
√1 : √4 = 1 : 2

The best choice is ...
  B. 1:2
4 0
3 years ago
Because of the commutative property of multiplication, it is true that
Likurg_2 [28]

Answer:

1.  3/4 + 3/4 + 3/4 +3/4

2. 0.75 * 4

Step-by-step explanation:

1. add 3/4 four times

3/4 + 3/4 + 3/4 +3/4

2. You can turn 3/4 into a decimal.  3/4 =0.75

0.75 * 4

4 0
3 years ago
12 divided by 100 as a mixed number or whole number
tamaranim1 [39]
12/100 = 3/25
hope it helps
5 0
3 years ago
Other questions:
  • How many side does a regular decagon have
    10·2 answers
  • Jeff needs to buy food and medication for six cats and one dog. The cost of food and medication for a cat is $5 less than two-th
    9·1 answer
  • Find the measure of AB
    13·1 answer
  • Without dividing find the remainder when 4x^2 +2x-5 is divided by (x-1)
    13·1 answer
  • Write a expression that is equivalent of 4+3(5+x)
    5·1 answer
  • Answer these for me please!
    6·1 answer
  • The expression 1.7j-3.4 factored is?
    6·1 answer
  • Who wants brainlest?
    5·2 answers
  • You need to purchase supplies for the trip. You have $1000 to spend.
    8·1 answer
  • 50 points Please help ASAP
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!