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
Marina86 [1]
3 years ago
14

Suppose the number of radios in a household has a binomial distribution with parameters n=11 and p=40%. Find the probability of

a household having: a. 1 or 9 radios b. 7 or fewer radios c. 5 or more radios d. fewer than 9 radios e. more than 7 radios
Mathematics
1 answer:
Ivenika [448]3 years ago
5 0

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x=r) = nCr × q^(n-r) × p^r

From the information given,

n = 11

p = 40% = 40/100 = 0.4

q = 1 - 0.4 = 0.6

x represent the number of radios

a) P( x = 1) or P(x = 9)

P(x = 1) = 11C1 × 0.6^(11-1) × 0.4^1

P(x = 1) = 0.027

P(x = 9) = 11C9 × 0.6^(11-9) × 0.4^9

P(x = 9) = 0.0052

P( x = 1) or P(x = 9) = 0.027 + 0.0052 = 0.0322

b) P(x lesser than or equal to 7) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)

P(x = 0) = 11C0 × 0.6^(11-0) × 0.4^0 = 0.004

P(x = 1) = 0.027

P(x = 2) = 11C2 × 0.6^(11-2) × 0.4^2 = 0.089

P(x = 3) = 11C3 × 0.6^(11-3) × 0.4^3 = 0.177

P(x = 4) = 11C4 × 0.6^(11-4) × 0.4^4 = 0.24

P(x = 5) = 11C5 × 0.6^(11-5) × 0.4^5 = 0.22

P(x = 6) = 11C6 × 0.6^(11-6) × 0.4^6 = 0.15

P(x = 7) = 11C7 × 0.6^(11-7) × 0.4^7 = 0.15

P(x lesser than or equal to 7) = 0.004 + 0.027 + 0.089 + 0.177 + 0.24 + 0.22 + 0.15 + 0.07 = 0.977

c) P(x greater than or equal to 5) = 1 - P(x lesser than or equal to 4) = 1 - (0.004 + 0.027 + 0.089 + 0.177 + 0.24) = 1 - 0.537 = 0.463

d) P(x lesser than 9) = P(x lesser than or equal to 7) + P(x = 8)

P(x = 8) = 11C8 × 0.6^(11-8) × 0.4^8 = 0.02

P(x lesser than 9) = 0.977 + 0.02 = 0.997

e. P(x greater than 7) = 1 - P(x lesser than or equal to 7) = 1 - 0.977 = 0.023

You might be interested in
I will give BRAINLIEST for questions 3 and 4
lisov135 [29]
3. A 4. C
your welcome :)
4 0
3 years ago
First answer gets a thanks
Karolina [17]
I would have to say A - Mean; because the data is skewed and there are outliers.

This is because the median of this would not be accurate for the number of kids that read no books and the random three kids that read ten. Mean, however, would find the true median within the plot and utilize and take into account the outliers and how skewed the data is.

Hope this helps!
7 0
3 years ago
Read 2 more answers
I will give points for geometry question
zavuch27 [327]

Answer:

9m, 12m, 15m

Step-by-step explanation:

6 0
2 years ago
HELPP!!
Brilliant_brown [7]

Answer:

Hope this will help you.

5 0
3 years ago
Please help on this!!
dexar [7]
3^8=6,561
6,561 •3=19,683

The highest altitude of an altocumulus cloud is 19,683 feet.
8 0
3 years ago
Other questions:
  • The value of a graphing calculator is $225. After 2 years, the value of this calculator is $160. Find the value of the calculato
    12·1 answer
  • Can you answer these examples?<br>​
    6·1 answer
  • Brock is training for a Crossfit competition. He began the training completing pull-ups and box jumps origanally, his training p
    12·1 answer
  • Lucy wants to find out the number of frogs in a pond near her house. She catches 54 of them , puts the back in the pound. The ne
    12·2 answers
  • A weak acid base pair that regulates pH is called a ?
    14·1 answer
  • A square has an area that is less than 100 m2. What is a reasonable range for the graph of the square’s side?
    6·2 answers
  • Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back so
    7·1 answer
  • The annual total price is approximately $11,600 for Texas residents. If a student was atiending for 4 years, and received one sc
    9·1 answer
  • The letters A, B, and C can be arranged in six ways. Five ways are listed below.
    7·2 answers
  • What is the radius of a hemisphere with a volume of 281,250 2.14 cm^3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!