3. A teacher has been determined that (D%) of students solved assignment 1 and ((D+6) %)...
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3. A teacher has been determined that (D%) of students solved assignment 1 and ((D+6) %) of students solved assignment 2. In addition, it has been observed that the two assignments are independent from one another. If the teacher selects ten students at random: a. Calculate the probability that exactly seven of the students have solved any one of the two assignments. (3 marks) b. Calculate the probability that at least one of the students solved at least one of the two assignments. (3 marks) c. If the mean now is p. Find the value of p: i. Given that P(X = 0) = (D/2). ii. Given that the variance of X is 2.4. (2 marks) (2 marks) (Note: D is any digit of your MEC ID, D > 0) 4. The weight, in kilograms, of the student in intermediate mathematics class can be modelled by a normal distribution with Mean and standard deviation 6.6 kg. Given that 12% of students contains less than D kg. Find. a. The value of u. (2 marks) b. Any student which his weight is greater than (D+10) Kg is defined as overweight. Find the probability that a randomly selected student has weight greater than (D+20) Kg given that his is overweight. (5 marks) c. If the weight of student is normally distributed with mean (D+3) kg and standard deviation of o. Given that the probability of weights is between D kg and (D+6) kg is 0.9671, find the value of σ. (8 marks) (Note: D is any two digits of your MEC ID, D > 0) 3. A teacher has been determined that (D%) of students solved assignment 1 and ((D+6) %) of students solved assignment 2. In addition, it has been observed that the two assignments are independent from one another. If the teacher selects ten students at random: a. Calculate the probability that exactly seven of the students have solved any one of the two assignments. (3 marks) b. Calculate the probability that at least one of the students solved at least one of the two assignments. (3 marks) c. If the mean now is p. Find the value of p: i. Given that P(X = 0) = (D/2). ii. Given that the variance of X is 2.4. (2 marks) (2 marks) (Note: D is any digit of your MEC ID, D > 0) 4. The weight, in kilograms, of the student in intermediate mathematics class can be modelled by a normal distribution with Mean and standard deviation 6.6 kg. Given that 12% of students contains less than D kg. Find. a. The value of u. (2 marks) b. Any student which his weight is greater than (D+10) Kg is defined as overweight. Find the probability that a randomly selected student has weight greater than (D+20) Kg given that his is overweight. (5 marks) c. If the weight of student is normally distributed with mean (D+3) kg and standard deviation of o. Given that the probability of weights is between D kg and (D+6) kg is 0.9671, find the value of σ. (8 marks) (Note: D is any two digits of your MEC ID, D > 0)
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Operations Management Creating Value Along the Supply Chain
ISBN: 978-1118301173
1st Canadian Edition
Authors: Roberta S. Russell, Bernard W. Taylor, Ignacio Castillo, Navneet Vidyarthi
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