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
Jet001 [13]
2 years ago
11

The probability that a certain hockey team will win any given game is 0.3773 based on their 13 year win history of 389 wins out

of 1031 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November.
Find the probability that the hockey team wins at least 3 games in November. (Round your answer to four decimal places.)
Mathematics
1 answer:
notsponge [240]2 years ago
3 0

Answer:

0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the teams wins, or they do not win. The probability of the team winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.

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.

The probability that a certain hockey team will win any given game is 0.3773.

This means that p = 0.3773

Their schedule for November contains 12 games.

This means that n = 12

Find the probability that the hockey team wins at least 3 games in November.

This is:

P(X \geq 3) = 1 - P(X < 3)

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

So

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

P(X = 0) = C_{12,0}.(0.3773)^{0}.(0.6227)^{12} = 0.0034

P(X = 1) = C_{12,1}.(0.3773)^{1}.(0.6227)^{11} = 0.0247

P(X = 2) = C_{12,2}.(0.3773)^{2}.(0.6227)^{10} = 0.0824

Then

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0034 + 0.0247 + 0.0824 = 0.1105

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.1105 = 0.8895

0.8895 = 88.95% probability that the hockey team wins at least 3 games in November.

You might be interested in
n the description of the following experiment, determine the experimental factor. A pharmaceutical company conducted an experime
arlik [135]

Answer:

Type of drink given to each group

Step-by-step explanation:

5 0
2 years ago
Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.
Triss [41]

Answer:

Initial temperature;

432.76

Common ratio;

-0.067

Equation;

y=432.76e^{-0.067x}

Step-by-step explanation:

In this scenario, the time in minutes represents the independent variable x while the temperature of the pizza represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial temperature we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.

6 0
2 years ago
Last year the highest temperature in a city was recorded as 23ºC, and the lowest temperature was recorded as -10ºC. How many deg
DerKrebs [107]

33 degrees C

Step-by-step explanation:

On the integer scale, the numeric values can be added thus

23 to -10

23 to 0 and 0 to -10

23-0 = 23

0 -(-10) = 10

23 + 10 = 33

Thus, 33 degree C is the difference between the two temperatures.

5 0
3 years ago
What is the product of a number and 14 plus 10, written as an algebraic expression?
algol [13]
The expression written as an algebraic expression is 14x+10
4 0
2 years ago
THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help wit
Naily [24]

Answer:

<em>Circle 1: </em>37.68 ft

<em>Circle 2: </em>28.26 cm

3 0
2 years ago
Other questions:
  • Answere 1,2,3 <br> Please help
    10·2 answers
  • X squared plus x y - 12 y squared
    10·1 answer
  • Delbert Rowell drove his tractor rig 58,125 miles in 6 months. Estimate how many miles he drove in each month
    10·1 answer
  • What is the volume of this rectangular prism?
    11·1 answer
  • What is the area of the parallelogram below
    13·1 answer
  • Natalie's coach has a stopwatch that records times to the nearest thousandth of a second. Natalie ran a given distance in 25.453
    11·1 answer
  • What is the solution of the system? 5x + 2y = 9 4x - 3y = 44
    15·1 answer
  • What is <img src="https://tex.z-dn.net/?f=3%5E%7B2%7D" id="TexFormula1" title="3^{2}" alt="3^{2}" align="absmiddle" class="latex
    5·2 answers
  • A root emerges from a seed because of the force of?
    15·1 answer
  • Work out the equation of the line which has a gradient of -2 and passes through the point (4, 8).​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!