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
Oliga [24]
2 years ago
13

According to a survey, 30% of US adults attend

Mathematics
1 answer:
taurus [48]2 years ago
6 0

Answer:

The probability distribution of x is given by

P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ

Where n is the number of trials, x is the variable of interest and p is the probability of success.

P(x = 0) = 0.49

P(x = 1) = 0.42

P(x = 2) = 0.09

Step-by-step explanation:

The binomial distribution has the following features:

• There are n repeated trials and are independent of each other.

• There are only two possibilities: US adults attend  church every Sunday or US adults do not attend  church every Sunday

• The probability of success does not change with trial to trial.

Let x represent the  number in this sample who attend church every

Sunday, the probability distribution of x is given by

P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ

Where n is the number of trials, x is the variable of interest and p is the probability of success.

For the given case

Probability of success = p = 0.30

Number of trials = n = 2

Variable of interest = x = 0, 1, 2

For P(x = 0):

Here we have x = 0, n = 2 and p = 0.30

P(x = 0) = ²C₀(0.30⁰)(1 - 0.30)²⁻⁰

P(x = 0) = 0.49

For P(x = 1):

Here we have x = 1, n = 2 and p = 0.30

P(x = 1) = ²C₁(0.30¹)(1 - 0.30)²⁻¹

P(x = 1) = 0.42

For P(x = 2):

Here we have x = 2, n = 2 and p = 0.30

P(x = 2) = ²C₂(0.30²)(1 - 0.30)²⁻²

P(x = 2) = 0.09

You might be interested in
Why is 1/2 and 1/3 similar? Thank you!
kenny6666 [7]
1/2 and 1/3 are similar because 3/6 and 2/6 are similar. They are so close but not the same.
3 0
2 years ago
the parallel sides of a trapezium are such that the longer side is 4cm more than the shorter side of the distance between them i
saw5 [17]

Answer:

32cm and 28cm

Step-by-step explanation:

Area of a trapezium=0.5 ( sum of parallel sides ) × height

600=0.5( 4+a+a)×20

where a is the length of the shorter side

600÷0.5=(4+2a)×20

1200=(4+2a)×20

1200÷20=4+2a

60=4+2a

60-4=2a

56=2a

56÷2=a

28=a.

since the longer side is 4 cm more than th shorter side , 28 +4=32

4 0
3 years ago
2. What is the theoretical probability of landing on blue if we have a total of 6 sections? Explain your answer
sashaice [31]

Answer:

1/6 chance

Step-by-step explanation:

3 0
2 years ago
Use the distributive property to rewrite the expression 3 (2+11)
kolbaska11 [484]

Answer:

3(2+11) = 3x2 + 3x11

Step-by-step explanation:

4 0
2 years ago
The cosine ratio is used to find missing angle measures and side measures in
VashaNatasha [74]
... right triangles.
7 0
3 years ago
Other questions:
  • Enrique leaves his house and starts to run at an average speed of 6 miles per hour. Half an hour later, Enrique’s younger (and f
    7·1 answer
  • Convert: 410 km = ________ mi
    15·2 answers
  • What is the value of x if length is 3x-1 and width is x and the perimeter is 84
    12·1 answer
  • WHAT is the slope of the line that contains the points (-1, 8) and (5, -4)
    14·2 answers
  • Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
    14·1 answer
  • Defining congruent triangles
    5·1 answer
  • How to solve a+52/3=9
    5·2 answers
  • Help please!! It’s kinda easy so help!!
    7·2 answers
  • An office supply store sells 128 pens in each bag. A business bought 9 bags of pens one month and 7 bags of pens the next month.
    13·2 answers
  • Please help i just cant do this please...
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!