Please answer all the question:

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. 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. 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. 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. 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.]

Queston 5)

#5:Compute thez-score for a data point,, with a sample mean,x=76,and a sample standard deviation, s=4.5

Question 6)

#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.

#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.

#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.

#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.

#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.

#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.

#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.

#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.]