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

Answers

Answer 1

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


Related Questions

The official record of a high school student’s performance is called:

Answers

Answer:

A High School Transcript

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

Answers

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]

Other Questions
Read the selection and the question, and choose the option that best answers the question. Hola! Mi nombre es Marina y vivo en Colombia. Tengo 15 aos y estoy en la escuela superior. En Colombia, la escuela superior tiene cuatro rutas diferentes: Los programas tcnicos (12 aos) Los programas tecnolgicos (3 aos) Los programas docentes (45 aos) Los programas profesionales (45 aos) Yo estudio en el programa tcnico. Me encantan los animales y me gusta la comida saludable como las frutas y verduras. Cuando terminas los dos aos del programa tcnico, puedes comenzar a trabajar inmediatamente. Hace dos aos que mi amigo Sal estudia una carrera en el programa tcnico tambin. l estudia cmo medir las calles y avenidas cuando quieren construir o poner nuevas carreteras. Puede empezar a trabajar en un mes. Mi amiga Saida estudia en un programa docente para ser maestra. En las carreras profesionales necesitas estudiar ms que en las carreras tcnicas. Mi prima Anastasia estudia las computadoras en el curso tecnolgico. A ella le encanta la tecnologa. Based on the information from the text, who will take longer to complete his/her studies? 1) Anastasia 2) Marina 3) Saida 4) Sal Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 3150. i. Sketch Musahs movement ii. How far west is Musahs final point from the centre? iii. How far north is Musahs final point from the centre? iv. Describe how you would guide a JHS student to find the bearing and distance of Musahs final point from the centre. A history professor decides to give a 12-question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade? Group of answer choices The most notable and direct result of the Ottoman Turk campaign of genocide was that Armenians were If one could transport a simple pendulum of constant length from the Earth's surface to the Moon's, where acceleration due to gravity is one-sixth (1/6) that on the Earth, by what factor would be the pendulum frequency be changed The _________ price is the price at which a dealer is willing to sell a security. A. bid B. ask C. clearing D. settlement United States v. Susan B. Anthony: Justice Ward Hunt's Court Ruling: Which of these inferences about Anthonys defense is best supported by the text? Question 21 options: a) The center of their case was over whether voting is a privilege or a right. b) Anthony attempted to use the constitutional amendment giving African-American men the right to vote to justify her actions, but the judge did not agree. c) The defense believed that voting laws were not well-explained in the Constitution. d) Anthony believed that women being allowed to become lawyers in Illinois meant voting was now legal for everyone in all states. Select the correct answer. Which of these means of transport is the most economic? A. auto B. metro C. bus D. bicicleta Determine which set of properties correctly describes copper (Cu)?A. Giant structure, conducts electricity, high melting point, soluble in water, malleableB. Malleable, brittle, soluble in oil or gasoline, high melting point, simple structureC. Ionic lattice, conducts electricity, soluble in oil or gasoline, low melting point, ductileD. Malleable, conducts electricity, high melting point, giant structure, metallic lattice 5. Find the product of p(x) and q(x) if p(x) = 2x+7 and q(x) = 4x-9a. Is p(x) a polynomial? If not, give an explanation.b. Is q(x) a polynomiala If not, give an explanation.c. Is the product a polynomials If not, give an explanation,d. If the product is a polynomial, identify type and degree. How are the hours of darkness linked to the flowering time in plants? It is always necessary for an agent to disclose the identity of the principal to any third person with whom he is contracting; otherwise the contract becomes void.a. Trueb. False Bioplastics made from corn grown using industrialized agricultural methods would have a smaller ecological footprint that bioplastics made from native prairie switchgrass.A. TrueB. False Which is the best example of how women went against social norms during the Roaring Twenties? Women became flappers who danced the Charleston. Women became businesspeople who bought cars. Women became celebrities who starred in movies. Women became landlords who bought property. what is the definition of a pogrom? Employees in a department are considered a team only when they directly interact and coordinate work activities with each other.a. Trueb. False construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........ Very urgent. Pls don't give wrong answers help can somewon help me Who was an African American man who filed a suit to overturn segregation laws? Jim Crow Dred Scott Hiram Revels Homer Plessy A competitive diver leaves the diving board and falls toward the water with her body straight and rotating slowly. She pulls her arms and legs into a tight tuck position. What happens to her rotational kinetic energy