Based on the results from a Bradley Corporation poll, assume that 70% of adults
ID: 3368064 • Letter: B
Question
Based on the results from a Bradley Corporation poll, assume that 70% of adults always wash their hands after using a public restroom.a.) Find the probability that among 8 randomly selected adults, exactly 5 always wash their hands after using a public restroom.
B.) Find the probability that among 8 randomly selected adults, at least 7 always wash their hands after using a public restroom.
C.) For groups of 8 randomly selected adults, find the mean and standard deviation of the numbers in the group who always wash their hands after using a public restroom.
D.) if 8 adults were randomly selected and it is found that exactly 1 of them washes hands after using a Public restroom, is that number significantly low?
Using excel!!!!
Based on the results from a Bradley Corporation poll, assume that 70% of adults always wash their hands after using a public restroom.
a.) Find the probability that among 8 randomly selected adults, exactly 5 always wash their hands after using a public restroom.
B.) Find the probability that among 8 randomly selected adults, at least 7 always wash their hands after using a public restroom.
C.) For groups of 8 randomly selected adults, find the mean and standard deviation of the numbers in the group who always wash their hands after using a public restroom.
D.) if 8 adults were randomly selected and it is found that exactly 1 of them washes hands after using a Public restroom, is that number significantly low?
Using excel!!!!
a.) Find the probability that among 8 randomly selected adults, exactly 5 always wash their hands after using a public restroom.
B.) Find the probability that among 8 randomly selected adults, at least 7 always wash their hands after using a public restroom.
C.) For groups of 8 randomly selected adults, find the mean and standard deviation of the numbers in the group who always wash their hands after using a public restroom.
D.) if 8 adults were randomly selected and it is found that exactly 1 of them washes hands after using a Public restroom, is that number significantly low?
Using excel!!!!
a.) Find the probability that among 8 randomly selected adults, exactly 5 always wash their hands after using a public restroom.
B.) Find the probability that among 8 randomly selected adults, at least 7 always wash their hands after using a public restroom.
C.) For groups of 8 randomly selected adults, find the mean and standard deviation of the numbers in the group who always wash their hands after using a public restroom.
D.) if 8 adults were randomly selected and it is found that exactly 1 of them washes hands after using a Public restroom, is that number significantly low?
Using excel!!!!
Explanation / Answer
a)for binomial distribution paramter p=0.70 and n=8
hence probability that among 8 randomly selected adults, exactly 5 always wash their hands after using a public restroom =P(X=5)=binomdist(5,8,0.7,false)=0.2541
b)
probability that among 8 randomly selected adults, at least 7 always wash their hands after using a public restroom
=P(X>=7)=1-P(X<=6)=1-binomdist(6,8,0.7,true)=0.2553
c)
mean =np=8*0.7=5.6
std deviation =(np(1-p))1/2 =1.2961
d)
probability of getting 1 or less who washes hands after using a Public restroom =P(X<=1)=binomdist(1,8,0.7,true)
=0.0013
as probability of that happening is less than 0.05 level hence it is significantly low
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