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Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a spade. Are these events independent? Type Yes or No: [a] Determine the probability of drawing a diamond and then a spade without replacement. Write your answer in decimal form, rounded to four decimal places as needed.  Answer= [b] Linda draws a diamond from a standard deck of 52 cards. She returns the diamond to the deck, then draws a second card. Her second card is a spade. Are these events independent? Type Yes or No: [c] Determine the probability of drawing a diamond and then a spade with replacement. Write your answer in decimal form, rounded to four decimal places as needed.  Answer= [d]

This question is extra credit.  I will grade it after you turn in the test. Let’s calculate the standard deviation by hand for the following set of sample data. 7     14     8     14     12 First, calculate the mean:

Lacy draws a heart from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a club. Are these events independent? Type Yes or No: [a] Determine the probability of drawing a heart and then a club without replacement. Write your answer in decimal form, rounded to four decimal places as needed.  Answer= [b] Linda draws a heart from a standard deck of 52 cards. She returns the heart to the deck, then draws a second card. Her second card is a club. Are these events independent? Type Yes or No: [c] Determine the probability of drawing a heart and then a club with replacement. Write your answer in decimal form, rounded to four decimal places as needed.  Answer= [d]

According to Bloomberg News, in 2011 the average annual salary for a player in the National Hockey League (NHL) were $750,000 and $2,100,000, although not necessarily in that order.  Which of these numbers, $750,000 and $2,100,000, is the mean and which is the median? Give a reason for your answer.

You’re locked out of your house and the only open window is on the second floor, 31 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 11 feet from the house. What length of ladder do you need to reach the window? [a] Round your answer to three decimal places. 

Rock-Paper-Scissors, also called Roshambo, is a popular two-player game often used to quickly determine a winner and loser. In the game, each player puts out a fist (rock), a flat hand (paper), or a hand with two fingers extended (scissors). In the game, rock beats scissors which beats paper which beats rock. The question is: Are the three options selected equally often by players? Knowing the relative frequencies with which the options are selected would give a player a significant advantage. A study observed 124 people playing Rock-Paper-Scissors. Their choices are shown below as a percent. For the following three questions, type A, B, or C into the appropriate box. A: All people who play rock-paper-scissors.  B: The 124 players who were observed. C: The three options each player plays, rock, paper, or scissors. [a] What is the sample? [b] What is the population? [c] What does the variable measure? Enter the relative frequencies in the table below: Option Selected Frequency Relative Frequency Rock 62  [d] Paper 44  [e] Scissors 18  [f] Total 124  [g] Relative frequency is the part out of the whole. So the first one is 62/124.

The annual rainfall in a certain region is approximately normally distributed with mean 41.9 inches and standard deviation 5.9 inches. Round answers to the nearest tenth of a percent.a) What percentage of years will have an annual rainfall of less than 43 inches? [a] %b) What percentage of years will have an annual rainfall of more than 39 inches? [b] %c) What percentage of years will have an annual rainfall of between 37 inches and 42 inches? [c] %

It has been reported that 7 % of phones manufactured by a certain company for a product launch did not meet the quality standards. An engineer needs at least one defective Phone so she can try to identify the problem(s). If she randomly selects 20 phones from a very large batch, what is the probability that she will get at least 1 that is defective? Is that probability high enough so that she can be reasonably sure of getting a defect for her work? Probability that at least one phone out of a sample of 20 is defective is (round to 4 decimal places)  [a] Is the probability high enough so that she can be reasonably sure of getting a defect for her work? Type Yes or No [b]

An experiment is to draw 1 card from a fair deck of playing cards.a) If you were to list the sample space, how many equally likely outcomes would it have? [a]b) Find the probability of getting a 10. Leave your answer as a fraction.  [b]c) Find the probability of not getting a heart. Leave your answer as a fraction.  [c]d) Find the probability of getting a spade. Leave your answer as a fraction.  [d]e) Find the probability of getting a 10 or a club. Leave your answer as a fraction.  [e]

Data was collected for 300 fish from the North Atlantic. The length of the fish (in cm) is summarized in the histogram below. What is the lower class limit for the seventh class? [a] What is the class width? [b] For the following question, type A, B, C, or D into the box. What is the distribution shape of the histogram? [c] A: Skewed-right B: Bell-shaped (or approximately bell-shaped) C: Uniform (or approximately uniform) D: Skewed-left