I only have an hour please answer in alloted time quickly

(CO 3) The speed of cars on a stretch of road is normally distributed with an average 40 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly selected car is violating the speed limit of 50 miles per hour?

Group of answer choices

0.95

0.05

0.59

0.10

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Question 2

2pts

(CO 3) A survey indicates that shoppers spend an average of 26 minutes with a standard deviation of 8 minutes in your store and that these times are normally distributed. Find the probability that a randomly selected shopper will spend less than 20 minutes in the store.

Group of answer choices

0.65

0.23

0.77

0.35

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Question 3

2pts

(CO 3) The monthly utility bills in a city are normally distributed with a mean of $121 and a standard deviation of $41. Find the probability that a randomly selected utility bill is between $110 and $130.

Group of answer choices

0.606

0.394

0.193

0.336

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Question 4

2pts

(CO 3) A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)?

Group of answer choices

Probability of 0.04 and would not warrant a refund

Probability of 0.04 and would warrant a refund

Probability of 0.96 and would not warrant a refund

Probability of 0.96 and would warrant a refund

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Question 5

2pts

(CO 3) The yearly amounts of carbon emissions from cars in Belgium are normally distributed with a mean of 13.9 gigagrams per year and a standard deviation of 5.8 gigagrams per year. Find the probability that the amount of carbon emissions from cars in Belgium for a randomly selected year are between 11.5 gigagrams and 14.0 gigagrams per year.

Group of answer choices

0.167

0.397

0.340

0.660

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Question 6

2pts

(CO 3) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probability that a randomly selected part from this supplier will have a value between 87.5 and 107.5 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?

Group of answer choices

Probability is 0.90, which is inconsistent with the Empirical Rule

Probability is 0.05, which is consistent with the Empirical Rule

Probability is 0.90, which is consistent with the Empirical Rule

Probability is 0.95, which is inconsistent with the Empirical Rule

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Question 7

2pts

(CO 3) A process is normally distributed with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute. If a randomly selected minute has 118 rotations per minute, would the process be considered in control or out of control?

Group of answer choices

In control as only one data point would be outside the allowable range

Out of control as this one data point is more than two standard deviations from the mean

Out of control as this one data point is more than three standard deviations from the mean

In control as this one data point is not more than three standard deviations from the mean

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Question 8

2pts

(CO 3) The soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 5.2, 5.0, 4.9, 6.2, 5.1, 6.7, 6.1. Is the process in control or out of control and why?

Group of answer choices

It is out of control as two of these data points are more than 2 standard deviations from the mean

It is in control as the values jump above and below the mean

It is in control as the data points more than 2 standard deviations from the mean are far apart

It is out of control as one of these data points is more than 3 standard deviations from the mean

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Question 9

2pts

(CO 3) The blenders produced by a company have a normally distributed life span with a mean of 8.2 years and a standard deviation of 1.3 years. What warranty should be provided so that the company is replacing about 10% of their blenders sold?

Group of answer choices

6.5 years

9.9 years

11.2 years

9.5 years

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Question 10

2pts

(CO 3) A puck company wants to sponsor the players with the 10% quickest goals in hockey games. The times of first goals are normally distributed with a mean of 12.56 minutes and a standard deviation of 8.73 minutes. How fast would a player need to make a goal to be sponsored by the puck company?

Group of answer choices

3.83 minutes

21.29 minutes

23.75 minutes

1.37 minutes

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Question 11

2pts

(CO 3) A stock's price fluctuations are approximately normally distributed with a mean of $104.50 and a standard deviation of $23.62. You decide to purchase whenever the price reaches its lowest 10% of values. What is the most you would be willing to pay for the stock?

Group of answer choices

$84.62

$74.23

$80.88

$134.77

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Question 12

2pts

(CO 3) The times that customers spend in a book store are normally distributed with a mean of 39.5 minutes and a standard deviation of 15.9 minutes. A random sample of 30 customers has a mean of 36.1 minutes. Would this outcome be considered unusual, so that the store should reconsider its displays?

Group of answer choices

No the probability of this outcome at 0.415 would be considered usual, so there is no problem

No, the probability of this outcome at 0.121, would be considered usual, so there is no problem

Yes, the probability of this outcome at 0.121, would be considered unusual, so the display should be redone

Yes, the probability of this outcome at 0.879 would be considered unusual, so the display should be redone

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Question 13

2pts

(CO 3) The weights of ice cream cartons are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.3 ounces. You randomly select 40 cartons. What is the probability that their mean weight is greater than 20.06 ounces?

Group of answer choices

0.579

0.103

0.897

0.421

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Question 14

2pts

(CO 3) Recent test scores on the Law School Admission Test (LSAT) are normally distributed with a mean of 162.4 and a standard deviation of 15.9. What is the probability that the mean of 12 randomly selected scores is less than 161?

Group of answer choices

0.620

0.465

0.535

0.380

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Question 15

2pts

(CO 3) The mean annual salary for intermediate level executives is about $74000 per year with a standard deviation of $2500. A random sample of 50 intermediate level executives is selected. What is the probability that the mean annual salary of the sample is between $71000 and $73500?

Group of answer choices

0.487

0.500

0.306

0.079

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Question 16

2pts

(CO 3)In captivity, a male lion grows to weight about 420 lbs with a standard deviation of 35 lbs.A zoo would like to have a lion that is in the largest 10% of male lions based on weight.How much should a male lion weigh for the zoo to obtain the male lion?

Group of answer choices

464.9

375.1

424.4

396.4

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Question 17

2pts

(CO 3) Chairs from a manufacturer have an average height from the leg to the top of the seat of 19 inches with a standard deviation of 0.5 inches.How tall would a chair need to be from the assembly line to be among the shortest 10% of chairs?

Group of answer choices

18.4 inches

18.9 inches

19.0 inches

19.5 inches

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Question 18

2pts

(CO 3) The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet.What is the largest a bedroom can be and be among the smallest 15% of bedrooms in a home?

Group of answer choices

252.7 sq ft

185.3 sq ft

212.9 sq ft

225.1 sq ft