q1 use the poisson distribution to find the indicated probab

q1. use the poisson distribution to find the indicated probability. if the random variable x has a poisson distribution with mean= 0.744, find the probability that x=1. round to five decimals.

q2. find the standard deviation, for the binomial distribution which has the stated values of n and p. round your answers to the nearest hundredth. n=671; p=0.7

q.3 the participants in a television quiz show are picked from a large pool of applicants with aprrox. equal numbers of men and woman. among the last 10 participants there have been only 2 women. if participants are picked randomly, what is the probability of getting 2 or fewer women when 10 people are picked? round to the three decimal places.

q4. the probabilities that a batch of 4 computers will contain 0,1,2,3,and 4 defective computers are 0.4096, 0.4096,0.1536, 0.0256, and 0.0016respectively. find the standard deviation for the probabilitydistribution . round to the nearest hundreth

Solution

1.

Note that the probability of x successes out of n trials is          
          
P(x) = u^x e^(-u) / x!          
          
where          
          
u = the mean number of successes =    0.744      
          
x = the number of successes =    1      
          
Thus, the probability is          
          
P (    1   ) =    0.353555698 [ANSWER]

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