Reference no: EM13119172
Probability problems :sample question
1: The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
2: If the odds of winning a raffle are 2:229, what is the probability of winning?
3: One thousand raffle tickets are sold for $1.00 each. One grand prize of $400 and two consolation prizes of $100 each will be awarded. Jeremy purchases one ticket. Find his expected value. Show all the work.
4: Each of the numbers 0 through 30 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
5: Which pair has equally likely outcomes? Select the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Show all the work.
a. Rolling a sum of 4 on two fair six sided dice.
b. Drawing a black seven out of a standard 52 card deck given it is not a face card or an Ace.
c. Rolling a sum of 11 on two fair six sided dice.
d. Rolling a sum of 7 on two fair six sided dice.
e. Drawing a three out of a standard 52 card deck given it is not a face card or an Ace.
6: A bag contains 7 lavender marbles, 11 turquoise marbles and 5 rainbow marbles. What is the chance of drawing a turquoise marble? If a turquoise marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a rainbow marble?
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Find what is the probability of drawing an orange marble
: what is the probability of drawing an orange marble? Give solutions exactly in reduced fraction form.
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What is the final concentration
: 55.0 mL of a 1.70 M solution is diluted to a volume of 278 mL. A 139 mL portion of that solution is diluted using 175 mL of water. What is the final concentration.
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Compute the profit at the end of each year
: Compute the profit at the end of each year if the hospital continues to use the traditional method for surgical operations and compute the profit at the end of each year if the hospital uses a Robotic Surgery Machine for surgical operations.
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Question about fermat and wilson theorems
: Please help me with this problem: What is the remainder when 314^164 is divided by 165? (Watch out - 165 is not prime!) Please show all work. Thanks in advance for the help.
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Find the theoretical probability of undesirable side effects
: The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
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Determine the molality of the solution
: An sulphuric acid solution has a concentration 3.75 M and a density of 1.230 g/cm3. Determine the molality of the solution.
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Evidence that population mean weight of hats is greater
: A sample of 350 hats is selected and the sample mean is 3.25 pounds. Using a level of significance of .10, is there evidence that the population mean weight of the hats is greater than 3.5 pounds? Fully explain your answer.
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Determining annuities and sinking funds
: Carolyn Ellis is setting up an annuity for her retirement. She can set aside $2,000 at the end of each year for the next 20 years and it will earn 6% annual interest.
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Find that optimal amount
: Suppose the price of c increases to 2, while income remains constant and what happens to the consumption of c and h? Are c and h substitute goods, complementary goods, or neither?
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