Question
Please answer all the questions. Solve the following problems and answer the following questions. Then, record your answers precisely as requested in the corresponding onlinetest
Please answer all the questions.
Solve the following problems and answer the following questions. Then, record your answers precisely as requested in the corresponding onlinetest feature. NOTE: Probabilities will routinely be reported as probabilities rounded otthe nearest wholepercentage, including percent symbol. |
question 1)
For Items #1through #4, consider the following context.
#1: Acme Assurance Conglomerate records indicate that, among its members designated as senior citizens, 32% have submitted a medical claim within the past year. A manager reviewing customer files randomly selected 16 senior citizens.
question:
What is the likelihood that exactly 6 of these senior citizens submitted a claim last year? [COMMENTS & HINTS: There are only two options - either a senior citizen submitted a claim or that senior citizen did not. What discrete probability distribution is most appropriate here?]
question 2)
For Items#1through#4,consider the following context.
#2: Acme Assurance Conglomerate records indicate that, among its members designated as senior citizens, 32% have submitted a medical claim within the past year. A manager reviewing customer files randomly selected 16 senior citizens.
question:
What is the likelihood that less than 9of these senior citizens submitted a claim last year? [COMMENTS & HINTS: There are only two options - either a senior citizen submitted a claim or that senior citizen did not. What discrete probability distribution is most appropriate here?]
question 3)
For Items#1through#4,consider the following context.
#3: Acme Assurance Conglomerate records indicate that, among its members designated as senior citizens, 32% have submitted a medical claim within the past year. A manager reviewing customer files randomly selected 16 senior citizens.
question:
What is the likelihood that at least 4of these senior citizens submitted a claim last year? [COMMENTS & HINTS: There are only two options - either a senior citizen submitted a claim or that senior citizen did not. What discrete probability distribution is most appropriate here?]
question 4)
For Items#1through#4,consider the following context.
#4: Acme Assurance Conglomerate records indicate that, among its members designated as senior citizens, 32% have submitted a medical claim within the past year. A manager reviewing customer files randomly selected 16 senior citizens.
question:
What is the expected number ofsenior citizens who submitted a claim last year? [COMMENTS & HINTS: There are only two options - either a senior citizen submitted a claim or that senior citizen did not. What discrete probability distribution is most appropriate here? Report this (terminating decimal) answer precisely without rounding and without insignificant digits.]
question 5)
question:
#5:Compute thez-score for a data point,x=58, with a sample mean,x=76,and a sample standard deviation, s=4.5
question 6)
question:
#6:Compute thez-score for a data point,x=80, with a population mean,u=77,and a population standard deviation,o=2.4
.question 7)
For Items #7 through #13, consider the following context.
Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is normally distributed with a population mean average of 1,800 pounds and a population standard deviation of 125 pounds. She puts a randomly selected steer up for auction.
question:
#7:What is the chance that the steer weighs no more than 1,750 pounds?
.question 8)
For Items #7 through #13, consider the following context.
Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is normally distributed with a population mean average of 1,800 pounds and a population standard deviation of 125 pounds. She puts a randomly selected steer up for auction.
question:
#8:What is the chance that the steer weighs at least1,850 pounds?
.question 9)
For Items #7 through #13, consider the following context.
Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is normally distributed with a population mean average of 1,800 pounds and a population standard deviation of 125 pounds. She puts a randomly selected steer up for auction.
question:
#9:What is the z-score the corresponds to a weight of1,875pounds? [COMMENTS &HINTS:Report your (terminating decimal) answer precisely without insignificant digits and without rounding.If positive, the positive sign is unnecessary but acceptable.]
.question 10)
For Items #7 through #13, consider the following context.
Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is normally distributed with a population mean average of 1,800 pounds and a population standard deviation of 125 pounds. She puts a randomly selected steer up for auction.
question:
#10:What is the z-score the corresponds to a weight of1,725pounds? [COMMENTS &HINTS:Report your (terminating decimal) answer precisely without insignificant digits and without rounding.If positive, the positive sign is unnecessary but acceptable.]
.question 11)
For Items #7 through #13, consider the following context.
Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is normally distributed with a population mean average of 1,800 pounds and a population standard deviation of 125 pounds. She puts a randomly selected steer up for auction.
question:
#11:What is the chance that the steer weighs at least 1,725pounds but nomore than 1,875pounds?
.question 12)
For Items #7 through #13, consider the following context.
Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is normally distributed with a population mean average of 1,800 pounds and a population standard deviation of 125 pounds. She puts a randomly selected steer up for auction.
question:
#12:What weight is nearest the 25th percentile of all weights for these steers?Round to the closest whole pound. [COMMENTS &HINTS: Recall that working from a probability back to a score is the inverse of working from a score to a probability.
.question 13)
For Items #7 through #13, consider the following context.
Colette, a rancher from Colorado, herds a specific breed of cattle. The weight for this breed is normally distributed with a population mean average of 1,800 pounds and a population standard deviation of 125 pounds. She puts a randomly selected steer up for auction.
question:
#13:What approximate weight would indicate that a steer is in or aroundthe top 40%of all cattle based onweight?Round to the closest whole pound. [COMMENTS &HINTS:Think complements!Recall that working from a probability back to a score is the inverse of working from a score to a probability.]
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