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
raketka [301]
3 years ago
10

Suppose that x is a binomial random variable with n=5, p=. 3,and q=. 7.1. Write the binomial formula for this situation and list

the possible value of x. For each value of x calculate p(☓ =x)
Mathematics
1 answer:
Radda [10]3 years ago
8 0

Answer:

P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}

Possible values of x: Any from 0 to 5.

P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807

P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015

P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087

P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323

P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835

P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

In this question:

n = 5, p = 0.3, q = 1 - p = 0.7

So

P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}

Possible values of x: 5 trials, so any value from 0 to 5.

For each value of x calculate p(☓ =x)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807

P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015

P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087

P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323

P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835

P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243

You might be interested in
Listed below are prices in dollars for one night at different hotels in a certain region. Find the​ range, variance, and standar
Vanyuwa [196]

Answer:

Range = $115

Variance = $1915.2857

Standard deviation = $43.764

Step-by-step explanation:

Given the data:

234 160 119 131 218 207 146 141

Arranging in ascending order :

119, 131, 141, 146, 160, 207, 218, 234

The range = maximum - minimum

The range = 234 - 119 = 115

The variance :

Σ(x - mean)²/n-1

The mean = Σx / n

The mean = 1356 / 8 = 169.5

Variance :

Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407

n - 1 = 8 - 1 = 7

Variance = 13407 / 7 = 1915.2857

Standard deviation = √variance

Standard deviation = √1915.2857

Standard deviation = $43.764

8 0
2 years ago
HELP PLEASE I NEED TO PASS TOMORROW
Lesechka [4]
I think that it’s 16 probably
6 0
3 years ago
John drives at an average speed of 40 miles per hour for the first 5 hours of the 655 mile trip to buffalo. Charlie then drives
Elodia [21]
65mph

John drove a total of 200 miles (40mph•5)
655-200= 455 miles
Charlie drove this in seven hours, and 455mi/7hours = 65mph
5 0
3 years ago
Which relationship in the triangle must be true?
Paul [167]

We'll assume this is an arbitrary triangle ABC.


A) No, the sines of two different angles can be whatever they want


B) sin(B)=cos(90-B)


Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.


C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.


D) Just like A, different triangle angles often have different cosines.


Answer: Choice B



7 0
3 years ago
What is x given ABC~DBE.<br> Show your work
alexandr1967 [171]

x = 37.5 (or) \frac{75}{2}

Solution:

Given \triangle A B C \sim \triangle D B E

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\frac{BE}{BC} =\frac{DE}{AC}

$\frac{x}{25+x} =\frac{30}{50}

Do cross multiplication, we get

50x=30(25+x)

50x=750+30x

Subtract 30x from both sides of the equation.

20x=750

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) \frac{75}{2}

Hence the value of x is 37.5 or \frac{75}{2}.

5 0
3 years ago
Other questions:
  • Simplity<br> 9(2.6x + 5y + 5.6x)
    12·1 answer
  • WILL MARK THE BRAINIEST!!! LOTS OF POINTS!! HELP NOW
    8·1 answer
  • Ngoc needs to mix a 10% fungicide solution with a 50% fungicide solution to create 200 millileters of a 26% solution. How many m
    9·2 answers
  • Evaluate (2-3)*(4)-9=3<br> Help
    10·1 answer
  • If I get 10 coins every five seconds and I have 56,150 coins. How long have I spent collecting coins?
    13·1 answer
  • A house that costs $200,000 will appreciate in value by 3% each year. Write a function that models the cost of the house over ti
    10·1 answer
  • Emily sent 60 texts so far this week. What is 20%of the total number of text messages she is allowed in one week
    6·1 answer
  • What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?
    15·1 answer
  • The graph below shows the cost of pens based on the number of pens in a pack. What would be the cost of one pen?
    12·1 answer
  • What is 2/3 of 2 feet
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!