A city of Punjab has a 15 percent chance of wet weather on any given day. What is the probability that it will take a week for it three wet weather on 3 separate days? Also find its Standard Deviation
Answer:
The probability that it will take a week for it three wet weather on 3 separate days is 0.06166 and its standard deviation is 0.9447
Explanation:
Probability of wet weather = 0.15
Probability of not being a wet weather = 1-0.15
We are supposed to find probability that it will take a week for it three wet weather on 3 separate days
Total number of days in a week = 7
We will use binomial over here
n = 7
p =probability of failure = 0.15
q = probability of success=1-0.15
r=3
Formula :[tex]P(r=3)=^nC_r p^r q ^{n-r}[/tex]
[tex]P(r=3)=^{7}C_{3} (0.15)^3 (1-0.15)^{7-3}\\P(r=3)=\frac{7!}{3!(7-3)!} (0.15)^3 (1-0.15)^{7-3}\\P(r=3)=0.06166[/tex]
Standard deviation =[tex]\sqrt{n \times p \times q}[/tex]
Standard deviation =[tex]\sqrt{7 \times 0.15 \times (1-0.15)}[/tex]
Standard deviation =0.9447
Hence The probability that it will take a week for it three wet weather on 3 separate days is 0.06166 and its standard deviation is 0.9447
B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of length 4. The number of binary code words, B(n), of length n, is shown above. If the length is increased from n to n+1, how many more binary code words will there be? The answer is 2^n, but I don't get how they got that answer. I would think 2^n+1 minus 2^n would be 2. Please help me! Thank you!
Answer:
The additional words is [tex]2^n[/tex]
Explanation:
Given
[tex]B(n) = 2^n[/tex]
Required
Determine the additional words; i.e. [tex]B(n + 1) - B(n)[/tex]
From the given parameters, we have that;
B is a function of n
Such that;
[tex]B(n) = 2^n[/tex]
To calculate [tex]B(n+1)[/tex], we simply substitute n + 1 for n
[tex]B(n) = 2^n[/tex]
[tex]B(n + 1) = 2^{n + 1}[/tex]
Applying laws of indices
[tex]B(n + 1) = 2^{n} * 2^1[/tex]
[tex]B(n + 1) = 2^{n} * 2[/tex]
[tex]B(n + 1) = 2(2^{n})[/tex]
Calculating Additional Binary Code;
[tex]B(n + 1) - B(n)[/tex]
Substitute values for B(n + 1) and B(n)
[tex]B(n + 1) - B(n) = 2(2^n) - 2^n[/tex]
Express [tex]2^n[/tex] as [tex]2^ n * 1[/tex]
[tex]B(n + 1) - B(n) = 2(2^n) - 2^n * 1[/tex]
Express 1 as [tex]2^0[/tex]
[tex]B(n + 1) - B(n) = 2(2^n) - 2^n * 2^0[/tex]
Factorize
[tex]B(n + 1) - B(n) = 2^n(2 - 2^0)[/tex]
[tex]B(n + 1) - B(n) = 2^n(2 - 1)[/tex]
[tex]B(n + 1) - B(n) = 2^n(1)[/tex]
[tex]B(n + 1) - B(n) = 2^n[/tex]
Hence, the additional words is [tex]2^n[/tex]
The official record of a high school student’s performance is called:
Answer:
A High School Transcript
Which of the following statements is NOT true about a thesis statement?
The thesis statement is not as important as the introduction and the conclusion of your paper.
The thesis statement is the main argument you are making in your paper.
The thesis statement is the most important part of your paper.
The thesis statement sets up what evidence you include in your paper.
Answer:
The thesis statement is the main argument you are making in your paper. It is the most important part of your paper. And it sets up what evidence you include in your paper.
I hope you understood well !!
The statement that is not true about a thesis statement is the main argument you are making in your paper. The correct option is b.
What is a thesis?The sentence that represents a writing assignment's main claim and helps to organize the thoughts in the document is referred to as the thesis statement. A thesis is an assertion that has been argued, proven, or otherwise supported at the outset of an argumentative document. It typically states a scientific principle, a thesis, or a verifiable fact.
A thesis is the concrete statement of an idea that is disclosed in an open and supported manner. It is derived from the scientific process. It can also be referred to as scientific theory because a theoretical foundation can be regarded as a component of the body of knowledge. In an argumentative text, the writer usually conforms to their viewpoint on the issue they are discussing. Afterward, the author
Therefore, the correct option is b. The thesis statement is the main argument you are making in your paper.
To learn more about the thesis, refer to the link:
https://brainly.com/question/939756
#SPJ2
A city of Punjab has a 15 percent chance of wet weather on any given day. What is the probability that it will take a week for it three wet weather on 3 separate days? Also find its Standard Deviation
Answer:
0.06166
sd = 0.9447
Explanation:
probability of having a wet day on any given day at 15 percent = 0.15 is as follows
Lets define X as the number of days that it is going to rain.
we have x binomial (7, 0.15)
probability(x = 3) = (7 3)p³(1-p)⁴
we have 7!/3!4!(0.15)³(0.85)⁴
= (210/6)*0.003375*0.522
= 35*0.003375*0.522
= 0.06166 approximately 0.0617
b standard deviation = [tex]\sqrt{np(1-p)}[/tex]
= [tex]\sqrt{7*0.15(0.85)}[/tex]
= [tex]\sqrt{0.8925}[/tex]
= [tex]0.9447[/tex]
