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Allushta [10]
2 years ago
9

Question 1

Mathematics
2 answers:
Andrews [41]2 years ago
7 0

The club currently have 25 members

Yolanda's club requires that 80% of the members be present for any vote. If at least 20 members must be present to have a vote, it means that 80% of the members in Yolanda's club is 20 members.

In order to determine the number of members in the club, use this formula:  

Number of members in the club = least number of members that have to be present to vote / percentage of members that must be present to vote

least number of members that have to be present to vote = 20

percentage of people that must be present to vote = 80%

20 / 0.8 = 25 members

A similar question was solved here: brainly.com/question/7807677?referrer=searchResults

dangina [55]2 years ago
6 0

Answer: 21    

Step-by-step explanation : get the work your self

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Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we
klio [65]

Answer:

P(X>9) = 0.3593

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".  

Solution to the problem

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

X \sim Binom(n=25, p=0.3089)  

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

P(X)=(nCx)(p)^x (1-p)^{n-x}  

For this case we want this probability:

P(X >9)

And we can use the complement rule like this:

P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]And we can find the individual probabilities like this:

P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974  

P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011  

P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584  

P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02  

P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049  

P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092  

P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138

P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167

P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"  

And we got:

P(X>9) = 0.3593

4 0
2 years ago
Francisco reads 75 pages every week for a summer reading program I there are about 4 weeks in a month then how many pages ca Fra
natta225 [31]
Answer:

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Explanation:

Week 1: 75 pages
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Week 2: 75 pages
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