There's nothing missing this is the document that I have from school nothing else.
I don't know what to do either at this point. That's the only thing that is being provided from the instructor.
Question 2: (4 marks) You can insure a $50,000 diamond for its total value by paying a yearly premium of D dollars. Let X be the yearlyr gain to the insurance company resulting from the sale of the policy. If the diamond is not stolen during the year, the insurance company.r will gain the premium of D dollars. If the diamond is stolen during the year. the insurance company will loose $501000 minus the premium of D dollars which they have already Collected. If the probability of theft in a given year is estimated to be 0.01, what premium should the insurance company charge if it wants the expected gain to equal $1000? [Hintz Start by trying to write the pmf of X using the following table] Question 3: (5 marks) A health food store currently has 100 pounds of almonds in stock, which it sells to customers in 2-\") batches. Let X be the number of batches purchased by a. randomly Chosen customer. Suppose X as pmf l I la 1 2 3 l-I-I-Il (a) Compute E(X) and V(X). (h) Compute the expected number of pounds left after the next customer has made their purchase and the variance of the number of pounds left. [Hint The number of pounds left is a linear function of X ] Question 4: (8 marks) The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with pdf f(x) = k[1 - (x -3)2 2l 0 a1 Using the cdf, determine the following probabilities. (i) What is the probability that observed depth is at most 3? (ii) What is the probability that observed depth is between 3 and 2?Question 6: (8 marks) Use Appendix Table A.3 to answer the following. The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (a) If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness? (b) What is the probability that a randomly chosen specimen has a hardness over 80? (c) If the acceptable range of hardness is (70 - c, 70 + c), for what value of c would 95% of all specimens have acceptable hardness? Question 7: (6 marks) Use Appendix Table A.3 to answer the following. A publisher has discovered that the numbers of words contained in a new manuscript are normally distributed, with a mean equal to 20,000 words over the number specified in the author's contract and a standard deviation of 10,000 words. If the publisher wants to be almost certain with a probability of 95% that the manuscript will have less than 100,000 words, what number of words should the publisher specify in the contract

Question

There's nothing missing this is the document that I have from school nothing else.

I don't know what to do either at this point. That's the only thing that is being provided from the instructor.

Question 2: (4 marks) You can insure a $50,000 diamond for its total value by paying a yearly premium of D dollars. Let X be the yearlyr gain to the insurance company resulting from the sale of the policy. If the diamond is not stolen during the year, the insurance company.r will gain the premium of D dollars. If the diamond is stolen during the year. the insurance company will loose $501000 minus the premium of D dollars which they have already Collected. If the probability of theft in a given year is estimated to be 0.01, what premium should the insurance company charge if it wants the expected gain to equal $1000? [Hintz Start by trying to write the pmf of X using the following table] Question 3: (5 marks) A health food store currently has 100 pounds of almonds in stock, which it sells to customers in 2-\") batches. Let X be the number of batches purchased by a. randomly Chosen customer. Suppose X as pmf l I la 1 2 3 l-I-I-Il (a) Compute E(X) and V(X). (h) Compute the expected number of pounds left after the next customer has made their purchase and the variance of the number of pounds left. [Hint The number of pounds left is a linear function of X ] Question 4: (8 marks) The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with pdf f(x) = k[1 - (x -3)2 2l 0 a1 Using the cdf, determine the following probabilities. (i) What is the probability that observed depth is at most 3? (ii) What is the probability that observed depth is between 3 and 2?Question 6: (8 marks) Use Appendix Table A.3 to answer the following. The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (a) If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness? (b) What is the probability that a randomly chosen specimen has a hardness over 80? (c) If the acceptable range of hardness is (70 - c, 70 + c), for what value of c would 95% of all specimens have acceptable hardness? Question 7: (6 marks) Use Appendix Table A.3 to answer the following. A publisher has discovered that the numbers of words contained in a new manuscript are normally distributed, with a mean equal to 20,000 words over the number specified in the author's contract and a standard deviation of 10,000 words. If the publisher wants to be almost certain with a probability of 95% that the manuscript will have less than 100,000 words, what number of words should the publisher specify in the contract