a) The amount of meat consumed by a family in a week is a random variable...

 

Transcribed Image Text:

a) The amount of meat consumed by a family in a week is a random variable M whose p.d.f is 20 m³ (5-m) 0≤m≤5 ([0, elsewhere Find S(M)=55 i.) ii.) iii.) iv.) v.) b) A discrete random variable X has a probability mass function given by f(x)=√(1-0)*, x=0,10<0<1 [0, elsewhere Obtain the moment generating function of X and use it to find the mean and the variance,. [7 Marks] The probability that the family eats between 2kg and 4kg of meat in a week. The variance of M given its mean is 3.5 The mode of the distribution Verify that the amount m, of meat such that the family is equally likely to eat than m in any week is about 3.131kg. Use the information above to comment on the skewness of the distribution. [2 marks] [3 marks] [3 marks] more or less [3 Marks] [2 marks] a) The amount of meat consumed by a family in a week is a random variable M whose p.d.f is 20 m³ (5-m) 0≤m≤5 ([0, elsewhere Find S(M)=55 i.) ii.) iii.) iv.) v.) b) A discrete random variable X has a probability mass function given by f(x)=√(1-0)*, x=0,10<0<1 [0, elsewhere Obtain the moment generating function of X and use it to find the mean and the variance,. [7 Marks] The probability that the family eats between 2kg and 4kg of meat in a week. The variance of M given its mean is 3.5 The mode of the distribution Verify that the amount m, of meat such that the family is equally likely to eat than m in any week is about 3.131kg. Use the information above to comment on the skewness of the distribution. [2 marks] [3 marks] [3 marks] more or less [3 Marks] [2 marks]

Answer rating: 100% (QA)

a i To find the probability that the family eats between 2kg and 4kg of meat in a week we need to find the cumulative distribution function CDF of M and evaluate it at 4 and 2 and then subtract the re... View the full answer