Question

In: Statistics and Probability

US Mail The weights of a certain class of packages which go through the US Mail...

US Mail The weights of a certain class of packages which go through the US Mail are normally distributed with a mean value of 22 lbs with a standard deviation of 4 lbs. 1) Referring to US Mail, find the probability that a randomly selected package weighs more than 18 lbs.

a) 0.9332 b) 1.0000 c) 0.0000 d) 0.0668 e) 0.0316

2) Referring to US Mail, find the 65th percentile of package weights, i. e., find a value c so that there is a 65% chance that randomly selected package weighs less than c and there is a 35% chance that a randomly selected box weighs more than c.

a) 12.87 b) 13.28 c) 13.56 d) 13.96 e) 14.28

3) Referring to US Mail, find the probability that a randomly selected package weighs between 4 and 26 lbs.

Solutions

Expert Solution


Related Solutions

A mail-delivery company is curious about the distribution of the weight of packages they deliver. a)...
A mail-delivery company is curious about the distribution of the weight of packages they deliver. a) given the sample of package weights shown in the table, can the company conclude that the weights of packages come from a normal population? Why or why not? Package Weights in pounds: 120 82 64 47 66 110 79 63 110 93 72 60 76 99 55 55 61 76 66 64 66 59 80 63 100 110 49 94 23 120 76 61...
The following are the weights, in decagrams, of 10 packages of grass seed distributed by a...
The following are the weights, in decagrams, of 10 packages of grass seed distributed by a certain company: 46.4, 46.1, 45.8, 47.0, 46.1, 45.9, 45.8, 46.9, 45.2, and 46.0. Find a 95% confidence interval for the standard deviation of the weights of all such packages of grass seed distributed by this company, assuming a normal population.
Ture or False: a. All FED-regulated banks operating in the US have to go through an...
Ture or False: a. All FED-regulated banks operating in the US have to go through an annual CCAR stress testing b. If a bank receive a conditional-PASS on a CCAR submission it can not pay an annual dividend to shareholders neither be allowed to buy-back its stock c. The Federal Reserve sets the borrowing rates of the US Treasury d. The US Congress supervises the Federal Reserve e. The SEC has broad authorities to monitor securities and other market activities...
A sample of six weights for packages delivered by a mailing company (in lbs.) is shown...
A sample of six weights for packages delivered by a mailing company (in lbs.) is shown below: 7.0, 7.3, 7.5, 7.7, 8.0, 12.4 a) Find the mean for the data above. b) Which one of the following interpretations of the mean calculated in a) is true (state True or False): 1) It represents the "average" weight. If each package would weigh the same, they each would have a weight equal to the mean _________ 2) It is the middle point...
Go through each step of the process through which commodities flow in the marketing-procurement system. Pick...
Go through each step of the process through which commodities flow in the marketing-procurement system. Pick a commodity as an example to illustrate each step. List at least 2 advantaged and 2 disadvantages to each of the 4 major modes of transportation available to those in the agriculture industry. Also include an example of who would likely use each mode of transportation. A. What are the two major reasons why agriculture products are stored? b. What are some products on-farm...
A vendor converts the weights on packages she sends out from pounds to kilograms (1kg ~...
A vendor converts the weights on packages she sends out from pounds to kilograms (1kg ~ 2.2lbs) (I know the answer she wants me to get...she says " a and b decrease in weight"....How is that a real answer...? The weight does not change. just the SI units. If we are supose to use SI units then the weight doesn't change. ((W = m*g and I don't think mass and gravity are changing here)) if in statistics you aren't suppose...
For a certain urban area, in a sample of 5 months, an average of 28 mail...
For a certain urban area, in a sample of 5 months, an average of 28 mail carriers were bitten by dogs each month. The standard deviation of the population is 3 mail carriers. Find the 90% confidence interval of the true mean number of mail carriers who are bitten by dogs each month.
Mail Med Inc. (MMI), a pharmaceutical firm, provides discounted prescription drugs through direct mail. MMI has...
Mail Med Inc. (MMI), a pharmaceutical firm, provides discounted prescription drugs through direct mail. MMI has a small systems staff that designs and writes MMI’s customized software. Until recently, MMI’s transaction data were transmitted to an outside organization for processing on its hardware. MMI has experienced significant sales growth as the cost of prescription drugs has increased, and medical insurance companies have been tightening reimbursements in order to restrain premium cost increases. As a result of these increased sales, MMI...
The weight of the packages carried by a certain post office is a Normal random variable...
The weight of the packages carried by a certain post office is a Normal random variable with a mean of 10 lbs and a standard deviation of 2 Ib. The post office wants to apply an additional charge (S) to packages that contain more than a certain weight, but they want to establish the policy so that the surcharge only applies to 1% of customers. a) What is the weight to which the additional charge should begin to be applied?...
The weight of packages carried by a certain post office is a normal random variable with...
The weight of packages carried by a certain post office is a normal random variable with a mean of 10 pounds and a standard deviation of 2 pounds. The post office wants to apply an additional charge to packages containing m160s of a certain weight, but they want to set the policy in such a way that the surcharge only applies to 1% of customers. 1) What is the weight at which you must begin to apply additional charge? 2)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT