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Assignment No: 2 (Lessons 28-30)
Question 1: Marks: 4+4=8
a) Suppose 4 dresses are randomly chosen without replacement from the total of 8 dresses (5 red and 3 white). Calculate the probability of getting exactly 2 red dresses out of 5 red dresses. (Solve using hypergeometric distribution)
b) A random variable “X” following binomial distribution with n=5 and p=0.5 Calculate the mean, variance and Coefficient of Variance.
Question 2: Marks: 4+3=7
a) One hundred passengers have made reservations for a train. If the probability that a passenger who has a reservation will not show up is 0.01, what is the probability that exactly 2 will not show up? (Use appropriate distribution)
b) A certain type of car battery lasts on an average 2 years, with a standard deviation of 0.5 year. Assuming that the battery lives are normally distributed, find the probability that a given battery will last less than 2.5 years.
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so give me idea hint wegera
Please Discuss here about this assignment.Thanks
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We are here with you hands in hands to facilitate your learning and do not appreciate the idea of copying or replicating solutions.
Has somebody else tried the questions? Do share your answers over here so that errors (if any) could be rectified...
Thanks...
Regards...
have you submitted? is yes please share the original file with me
b)
n=5 p =0.5 q=1-p=1-0.5=0.5
mean= np=5(0.5)=2.5
variance= npq= 5(0.5)(0.5)=1.25
Answer of Q1:
a) 43% (consider revising)
b)
Answer of Q2:
a) 0.1839 i.e. 18.39% (Poisson distribution)
b) 15.87% (consider revising)
Please check if I am wrong somewhere, this is just the rough solution, just to check that whether the answers are correct or not?
Thanks...
Regards...
Can you give brief explanation on your answers. I mean what formulas you used to find them.
Regards,
b)
n=5 p =0.5 q=1-p=1-0.5=0.5
mean= np=5(0.5)=2.5
variance= npq= 5(0.5)(0.5)=1.25
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