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
dusya [7]
3 years ago
14

Suppose a basketball player is practicing shooting, and has a prob-ability .95 of making each of his shots. Also assume that his

shots are in-dependent of one another. Using the Poisson distribution, approximate theprobability that there are at most 2 misses in the first 100 attempts
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0

Answer:

0.082

Step-by-step explanation:

Number of attempts = n = 100

Since there are only two outcomes and in-dependent of each other, the probability of missing a shot  = 1 - Probability of making each shot

p = 1 - 0.95 = 0.05

Possion Ratio (λ) = np where n is the number of events and p is the probability of the shot missing

λ = 100 x 0.05 = 5

Define X such that X = Number of misses and X ≅ Poisson (λ = 5)

P [X ≤ 2] = P [X = 0] + P [X = 1] + P [X = 2]

P [X ≤ 2] = e⁻⁵ + e⁻⁵ x 5 + e⁻⁵ x 5²/2!

P [X ≤ 2] = e⁻⁵ [1 + 5 + 5²/2!]

P [X ≤ 2] = e⁻⁵ x 12.25 = 0.082

The required probability that there are at most 2 misses in the first 100 attempts is 0.082

You might be interested in
ANSWER ASAP PLSSS
Andrei [34K]

vbbbbbbbbbbbbbbbbbdnnnnnAnswer:

Step-by-step explanation:

8 0
3 years ago
Please help me with this problem
juin [17]
My guess would be less than $25
8 0
3 years ago
All of the points in the picture are on the same line.Find the values for "a" and "b". Explain your reasoning.
kondor19780726 [428]

Answer:

I don’t know

Step-by-step explanation:

Go ask your teacher please help me

With this What is a linear function in the form y= mx + b for the line passing through (4.5, -4.25) with y-intercept 2.5?

3 0
2 years ago
Read 2 more answers
How would you write 20% as a fraction
givi [52]
For 20% out of 100% it would be 1/5 as you need 5 20s for 100
6 0
3 years ago
Read 2 more answers
One twelfth of the circle is 30 degrees. how many radians is one twelfth of the circle
crimeas [40]
30^o=\frac{30}{180}\pi\ rad=\frac{1}{6}\pi\ rad=\frac{\pi}{6}\ rad
7 0
2 years ago
Read 2 more answers
Other questions:
  • Morgan scored 42 points in 3 games. How many points would you expect him to make in an 11 game season?
    14·2 answers
  • If g left parenthesis x right parenthesis equals 36 x squared minus 36 and h left parenthesis x right parenthesis equals 65 x​,
    12·1 answer
  • Ted has a shelf that is 75 over 4 inches wide. How many books can Ted arrange on the shelf if each book is 5 over 4 inches thick
    6·2 answers
  • HELP ITS DUE IN 5 MINS
    13·1 answer
  • Make a down payment of $1500 and finance the rest of $20000 at 1.9% interest rate, making equal monthly payments for 5 years.
    10·2 answers
  • (4xy^2+6y)dx+(5yx^2+8x)dy=0<br> solve by using integrating factor
    10·1 answer
  • Maria makes a fruit salad.
    14·1 answer
  • Help me and I’ll thank you
    10·1 answer
  • Elaina buys eggs and potatoes at a store. She pays a total of $25.92. She pays $2.57 for the eggs. She buys 5 bags of potatoes t
    5·1 answer
  • Whats 7.273 divided by 6
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!