Of all the Harry Potter books purchased in a recent year,about 60% were purchase

ID: 2939810 • Letter: O

Question

Of all the Harry Potter books purchased in a recent year,about 60% were purchased for readers 14 or older. If 12 HarryPotter fans who bought books that year are surveyed, find thefollowing probabilities. a. At least five of them are 14 or older. b. Exactly nine of them are 14 or older. c. Less than three of them are 14 orolder. Of all the Harry Potter books purchased in a recent year,about 60% were purchased for readers 14 or older. If 12 HarryPotter fans who bought books that year are surveyed, find thefollowing probabilities. a. At least five of them are 14 or older. b. Exactly nine of them are 14 or older. c. Less than three of them are 14 orolder. Of all the Harry Potter books purchased in a recent year,about 60% were purchased for readers 14 or older. If 12 HarryPotter fans who bought books that year are surveyed, find thefollowing probabilities. a. At least five of them are 14 or older. b. Exactly nine of them are 14 or older. c. Less than three of them are 14 orolder.

Explanation / Answer

QuestionDetails: Of all the Harry Potter books purchased in a recent year,about 60% were purchased for readers
14 or older. If 12 Harry Potter fans who bought books thatyear are surveyed, find the following probabilities.
WE HAVE HERE
P=0.6....Q=1-P=0.4
HENCE APPLYING BINOMIAL DISTRIBUTION , PROBABILITY OF EXACTLY RSUCCESSES
OUT OF N TRIALS IS GIVEN BY
P[R] =[NCR][PR][QN-R]....N=12
a. At least five of them are 14 or older.
THAT IS
P[5]+P[6]+.......+P[12] =1-P[0]-P[1]-P[2]-P[3]-P[4]=0.943
b. Exactly nine of them are 14 or older.
P[9] =[12C9][0.69][0.43]=0.142
c. Less than three of them are 14 or older.
THAT IS
P[0]+P[1]+P[2] =0.0028

Of all the Harry Potter books purchased in a recent year,about 60% were purchased for readers
14 or older. If 12 Harry Potter fans who bought books thatyear are surveyed, find the following probabilities.
WE HAVE HERE
P=0.6....Q=1-P=0.4
HENCE APPLYING BINOMIAL DISTRIBUTION , PROBABILITY OF EXACTLY RSUCCESSES
OUT OF N TRIALS IS GIVEN BY
P[R] =[NCR][PR][QN-R]....N=12
a. At least five of them are 14 or older.
THAT IS
P[5]+P[6]+.......+P[12] =1-P[0]-P[1]-P[2]-P[3]-P[4]=0.943
b. Exactly nine of them are 14 or older.
P[9] =[12C9][0.69][0.43]=0.142
c. Less than three of them are 14 or older.
THAT IS
P[0]+P[1]+P[2] =0.0028

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Of all the Harry Potter books purchased in a recent year,about 60% were purchase

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