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
Karolina [17]
3 years ago
9

Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each

attempt at the penalty kick is independent of the other attempts and if she scores 65% of the time, historically, what is the probability that she scores at least eight goals
Mathematics
1 answer:
arlik [135]3 years ago
5 0

Answer:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want to find this probability:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

You might be interested in
Evaluate the expression:
Simora [160]
The dot product will have you multiply the corresponding coordinates and add up the products

v dot w = (6*(-7)) + (7*5) + (-3*2)
v dot w = -42 + 35 - 6
v dot w = -7 - 6
v dot w = -13

Answer: -13
6 0
3 years ago
Gronala costs $4.50 per pound. Assorted nuts cost $7.00 per pound. how many pounds of granola and nuts are needed to make 7 poun
yulyashka [42]

Let G be the granola we need (in pound)

Let N be the nut we need (in pound)

Trail mix cost $5.00 per pound---> cost for 7 pound = 5 x 7 = $ 35

4.5G+7N= 35

G+ N = 7

Therefore G = 5.6 N=1.4, we would need 5.6 pound granola & 1.4 pound nut

7 0
3 years ago
Read 2 more answers
The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how m
tatiyna
Do 6x 266 in your calculator that’s ur answer
7 0
3 years ago
A family of 3 goes to a fair. Tickets cost $5 each, but
Klio2033 [76]

Answer: $105

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is 334.54 + 198 grams
lidiya [134]
334.54 + 198 = 532.54 grams total

hope this helps
6 0
3 years ago
Read 2 more answers
Other questions:
  • For f (x) = 4x +1 and g(x) = x2-5, find
    10·1 answer
  • Guys I need help on this question
    9·1 answer
  • Cosec 10 - √3 sec10 = 4 prove without calculator<br><br>​
    8·1 answer
  • Which of the following is a solution to the inequality below?<br> j&gt; 8
    13·1 answer
  • Solve the quadratic equation by using either numeric or graphic approach x^2 + 2x - 3 = 0
    15·2 answers
  • 10) Christopher misses 4% of the free throws
    13·1 answer
  • Select the best equation needed to solve for x; then solve for x.
    8·2 answers
  • 24.286x10 what is the answer i got 24.286
    6·2 answers
  • What is an estimate for the square root of 150? (Do not find the exact value) Show work
    13·1 answer
  • 5 pointsWhich is the image of vertex Lafter the triangle is rotated 180 degrees about the origin?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!