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
Norma-Jean [14]
1 year ago
8

1. 4 A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange discs. The discs of

each colour are numbered from 0 to 99. Five discs are selected at random, one at a time, with replacement. Find
(i) the probability that no orange discs are selected. [3]


(ii) the probability that exactly 2 discs with numbers ending in a 6 are selected. [4]


(iii) the probability that exactly 2 orange discs with numbers ending in a 6 are selected. [4]


(iv) the mean and variance of the number of pink discs selected. [8]


1. 5 The mean number of defective batteries in packs of 20 is 1. 6. Use a binomial distribution to calculate the probability that a randomly chosen pack of 20 will have more than 2 defective batteries
Mathematics
1 answer:
I am Lyosha [343]1 year ago
6 0

The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.

<h3>How to calculate probability?</h3>

The probability that no orange discs are selected will be:

= 200C5 / 300C5

= 0.1295

The probability that exactly 2 discs with numbers ending in a 6 are selected will be:

= (30C2 × 270C3) / (300C5)

= 0.0721

The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:

= (100C2 × 290C3) / (300C5)

= 0.0092

The mean of the number of pink discs selected will be:

= np

= 5 × 1/3

= 5/3

The variance will be:

= 5 × 1/3 × 2/3

= 10/9 = 1.11

Learn more about probability on:

brainly.com/question/24756209

You might be interested in
40% of students on a field trip love the museum. If there are 20 students on the field trip, how many love the museum??
MariettaO [177]
Since there are 20 students on the field trip. Then 20 is the 100% total. Thus, to find how many people love the museum, we can simply multiply the total number of people by the percentage of interest, namely 40%

20*0.4 = 8
So, 8 people love the museum.
5 0
3 years ago
Write the equation of the line given a slope of 0 through the point (5, -7)
wlad13 [49]

Answer:

y=-7

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=0(x-5)

y+7=0

y=0-7=-7

6 0
3 years ago
Can someone help me with this i have been trying for hours and i actually got the wrong answer so can you help me understand by
kap26 [50]

Answer:

C

Step-by-step explanation:

We are given that FGH is a triangle, which means that...

Angle F + Angle G + Angle H = 180

Start by substituting the given angle measurements into the equation:

4x+2+13x-7+3x+5=180

Combine like terms

20x=180

Divide both sides by 20 to isolate x

x=9

Plug 9 back in for x to solve for each angle

Angle F = 4(9)+2=36+2=38

Angle G = 13(9)-7=117-7=110

Angle H = 3(9)+5=27+5=32

7 0
2 years ago
Read 2 more answers
8a^3 b^8+4ab^5-16ab^8= <br> need help plz! (factor completely)
lakkis [162]
We can factor out the 4 to get
4(2a^3b^8+ab-4ab^8)
we can also factor out the ab
4ab(2a^2b^7+1-4b^7)
that is factored completely
6 0
3 years ago
Please help I’m confused.
Ede4ka [16]

Answer:

What is the most common month?  That is the answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please explain
    5·1 answer
  • A large map of the United States uses a scale of $2 \text{ cm} = 2.5\text{ km}$. On the map, the distance between two cities is
    7·2 answers
  • What is the answer to this problem?
    14·2 answers
  • A dilation is _____ to the original figure?
    12·1 answer
  • Which side of the polygon is exactly 6 units long?
    14·1 answer
  • PLEASE HELP<br> Write an equivalent expression for -5x+3×2.5x
    7·2 answers
  • Find the volume of this square<br> based pyramid.<br> 10 in<br> 12 in<br> [? ]in3
    11·1 answer
  • Domain and range for exponential function y=3x
    15·1 answer
  • please tell me the step process of this btw this is 7th-grade math its angle measurements I'm confused about the process pls hel
    8·1 answer
  • Find the value of X.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!