White boxers are dogs that have a genetic dsposition for going deaf within the f

Question

White boxers are dogs that have a genetic dsposition for going deaf within the first year afhor they are bom Suppose a ither of tem white bower puppies contained two dogs that would eventually expernience deathess A Sarnly randonly selectied two pppies fom this Wther to tske home as famly pels (For this protlem, Gufine a sucoess as seleciting a dog that wil evenhualy exsperience deathenss) Complule parts a trough d below Determine the probability that none of the two puppies selected will experience dealness Round to four decimal places as needed ) b. Determine the probability that one of the bwo puppies selected ill experience deatness Round to four decimal places as needed) c. Determine the probability hat both puppies selected wi expence deatness Round to tour decimal places as needed d. Caloulate the mean and standard deviation of this datrbution The mean of this dstribution iRound to thee decimal places ans needed The standard deviation of this dstrbution is Round to three decimal places as needd Enter your answer in each of the answer boxes Type here to search 4

Explanation / Answer

Ans:

Binomial distribution with n=2,probability of success,p=2/10=0.2

Probability of failure,1-p=1-0.2=0.8

a)P(x=0)=0.8*0.8=0.64

b)P(x=1)=2C1*0.21*0.81=0.32

c)P(x=2)=0.2*0.2=0.04

d)mean=np=2*0.2=0.4

standard deviation=sqrt(np*(1-p))=sqrt(2*0.2*0.8)=sqrt(0.32)=0.566

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