Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:
Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:
Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
The number of problems solved = 2000
Step-by-step explanation:
Let us assume the monthly quota of problems be x
number of problem solved in first week = 25 % of x =
number of problems solved in 2nd week = 110% of (problems solved in 1st week)
=
=
number of problem solved 3rd week= 60% of ( problems solved in 1st and 2nd week)
=
=
=
number of problem solved in 4th week =
now we have
number of problems solved in ll 4 weeks = x
Hence the number of problems solved = 2000
Answer:
G.
Step-by-step explanation:
They intersect at the point G.
1) 11 1/8
2) 5/7
3)it would be 233/3 but since that isn't your option try going with 23/3
4) 10 / 16
5) 9/3 = 3 (aka 3/1 ) then 3/9 = 0.3.
Answer for number 5 ⬇
Therefore 9/3 would be your greatest
~the fractions doesn't equal each other~{meaning that the equal sign wouldn't be your answer} ~
~3/9 Would be lesser than 9/3~
~just make the fraction into division .it might help ~
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For improper fraction just multiply and add
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Looking for the equivalent of the fractions... try dividing as well
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Example of a improper fraction
Problem : 12 3/5
Work: 12(5) = 60
60 +( 3 )= 63
Answer : 63/ 5
(note: don't worry about the example .... its not apart of the questions you asked.. but you can if you want to ... don't get me wrong.. if it was helpful you can use it )
☺
Answer:
0.3157
Step-by-step explanation:
Given that according to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly,
Let A be the event that it should be the government's responsibility to provide a decent standard of living for the elderly, and B the event that it would be a good idea to invest part of their Social Security taxes on their own
P(B) = 41%=0.41
A and B are independent
Hence P(both)=
the probability that a person agreed with both propositions
= Probability for both A and B
= P(A) P(B) since A and B are independent
= 0.3157