Can you answer all these questions Question 1 (1 point) Suppose that the mean an

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Can you answer all these questions

Question 1 (1 point)

Suppose that the mean and standard deviation of the scores on the mathematics portion of the SAT are 510.2 and 94.97, respectively, for a given year. 51.71% of students scored less than what score? Assume the distribution is approximately normal.

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Question 2 (1 point)

A certain list of movies were chosen from lists of recent Academy Award Best Picture winners, highest grossing movies, series movies (e.g. the Harry Potter series, the Spiderman series), and from the Sundance Film Festival and are being analyzed. The mean box office gross was $307.538 million with a standard deviation of $146.2641 million. Given this information, 21.8% of movies grossed less than how much money (in millions)? Assume the distribution is approximately normal.

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Question 3 (1 point)

A certain list of movies were chosen from lists of recent Academy Award Best Picture winners, highest grossing movies, series movies (e.g. the Harry Potter series, the Spiderman series), and from the Sundance Film Festival and are being analyzed. The mean box office gross was $357.455 million with a standard deviation of $143.5284 million. Given this information, 87.35% of movies grossed less than how much money (in millions)? Assume the distribution is approximately normal.

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Question 4 (1 point)

Suppose that the lifespan of beagles is normally distributed with a mean of 12.71 and a standard deviation of 0.573. Would it be unusual to observe a beagle lifespan between 11.9 and 11.9?

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Question 5 (1 point)

Suppose that scores on a statistics exam are normally distributed with a mean of 74.167 and a standard deviation of 6.4998. Would it be unusual for a student to score above 83.35?

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Question 6 (1 point)

Suppose that the mean and standard deviation of the number of gallons of milk sold per day at a local supermarket are 194.115 and 27.9948, respectively, and is approximately normally distributed. Calculate the proportion of days that the supermarket will sell below 196.69 gallons of milk.

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Question 7 (1 point)

If the scores of golfers on the PGA tour are approximately normally distributed with mean 69.83 and standard deviation 2.594, what is the probability that a randomly chosen golfer's score is between 71.8 and 72.6 strokes?

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Question 8 (1 point)

Suppose that the mean and standard deviation of the number of gallons of milk sold per day at a local supermarket are 185.925 and 28.0973, respectively, and is approximately normally distributed. Calculate the proportion of days that the supermarket will sell above 157.65 gallons of milk.

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Question 9 (1 point)

Fill in the blanks. Optionshouse.com tracked the performance of their most active day traders and found that the probability of a winning call option pick was 0.5422. If in a day, 361 call options are picked by these traders, around __________ of them will be winners, give or take __________. Assume each pick is independent.

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Question 10 (1 point)

Fill in the blanks. Ivy League colleges are known for their high level of denials to prospective students, especially for graduate school. In fact, the raw probability of admission to a graduate program is around 0.0855. Assuming each student is independent and 13,423 students apply, about __________ students, give or take __________, will be accepted.

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Question 11 (1 point)

Imagine that Exam 1 for Statistics 2160 this term will have 50 questions. Each question has 5 multiple choice options, giving you a probability of 0.2 of getting each question right purely by guessing. Assuming that you guess on all questions, what is the probability that you get greater than 3 questions right on your exam?

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Question 12 (1 point)

Apple's market share in the smart phone market represents a proportion of 0.1914. If Apple conducts a survey nationwide of 643 smart phone users, what is the probability that less than 126 of the people are Apple users?

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Question 13 (1 point)

Pandora Radio has determined that the probability of a user liking a new song enough to give a "thumbs up" is 0.6709. Given that Pandora plays about 672 new songs per user per month on average, what is the probability that no more than 455 of those plays get a "thumbs up"?

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1) 506.1 2) 514.3 3) We do not have enough information to calculate the value. 4) 123.5 5) 896.9

Explanation / Answer

Question 1:

mean=510.2 sd=94.97

we need the value at 51.71%

for p=0.5171, from the normal distribution table, Z is 0.045

this means (x-510.2)/94.97=0.045

x=0.045*94.97+510.2

x= 514.47

thus, correct answer is 2)

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