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
kati45 [8]
3 years ago
14

A pharmacist receives a shipment of 22 bottles of a drug and has 3 of the bottles tested. If 5 of the 22 bottles are contaminate

d, what is the probability that exactly 1 of the tested bottles is contaminated?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

Step-by-step explanation:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

In this problem, we have that:

Total number of combinations:

C_{22,3} = \frac{22!}{3!(18)!} = 1540

Desired combinations:

It is 1 one 5(contamined) and 2 of 17(non contamined). So:

C_{5,1}*C_{17,2} = 5*17*8 = 680

What is the probability that exactly 1 of the tested bottles is contaminated?

P = \frac{680}{1540} = 0.4416

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

You might be interested in
identify the type i error and the type ii error that corresponds to the given hypothesis. the proportion of people who write wit
djverab [1.8K]

Type I error is:

" Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29 "

Type II error is:

"Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29 "

<u>What is proportion?</u>

An equation in which two ratios are made equal is called a proportion. For instance, you could write the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

In Statistics, a  type I error is the rejection of a true null hypothesis

and  a type II error is the non-rejection of a false null hypothesis

Given that p = 0.29 is accepted

Now type I error is

C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

i.e. (false positive)

and type II error here is

B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.

To learn more about the proportion from the given link

brainly.com/question/19994681

#SPJ4

3 0
1 year ago
Which of the following is either a median or an altitude?
Blizzard [7]

Answer:

PR is an altitude

QT is a median.

Step-by-step explanation:

The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.

5 0
3 years ago
Date
ololo11 [35]

Answer: 22%, 0.22, 11/50

Step-by-step explanation:

As a percent, 44/200 × 100 =

0.22 × 100

= 22%

As a decimal, divide 44 by 200 using a calculator; 44÷200 = 0.22

As a fraction in the simplest form, 44/200, we find the greatest common factor for the numerator and denominator, which is 4, divide 4 by numerator = 11

Divide 4 by denominator = 50

44/200 as a fraction = 11/50

5 0
3 years ago
Determine if 51 is rational or irrational and give a reason for your answer
Luden [163]

Answer:

irrational because the square root of 51 is irrational.

8 0
2 years ago
PLEASE HELP<br> which mapping diagram does NOT represent function from x-y
Bas_tet [7]

Answer:

Diagram 1

Step-by-step explanation:

This diagram does not represent a function because the x value 6 is outputting 2 different y values, 4 and 6. This goes directly against the rules of a function.

3 0
3 years ago
Read 2 more answers
Other questions:
  • 60% of what number is 21
    7·2 answers
  • Two squares overlap. The area of the overlapped region is 1/4 of the small square's area and is 2/9 of the large square's area.
    13·1 answer
  • Angle psr measures 99°. what is the measure of psq in degrees?
    12·1 answer
  • Using elimination (combination), which variable will be eliminated first? 5x-y=-21x+y=-3
    14·1 answer
  • What is the function rule for this question?
    11·1 answer
  • Which is true 0.45&gt;0.5<br>0.45&lt;0.5<br><br>4.05=0.45<br><br>4.05 &lt;0.45
    13·1 answer
  • Please help!! i will give brainliest.
    9·1 answer
  • The question with the options are in the picture ^ plz and thank you
    6·1 answer
  • Basic geometry Episode 8
    6·1 answer
  • do yall ever just get into a terrible mood and yoy dont know how you got into it but you are and now you yell at averyone and th
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!