Lottery One million tickets are sold for a lottery in which a single prize will be awarded. a) If you purchase a ticket, determine your odds against winning. b) If you purchase 10 tickets, determine your odds against winning.
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Suppose you are flying a four-engine aircraft on a 10-hour transoceanic flight. Assume that it has been established that the probability of an engine of the type you have on your aircraft failing during a 10-hour flight is 0.008. Determine the probability of all four engines failing during the flight. A student decided that
The grade distribution is as follows for the past three (3) years for a course in college algebra, as shown below. A's - 45; B's- 180; C's - 110; D's - 95; F's - 65; and Incompletes- 5. If Jane plans to take a college algebra course, determine the empirical probability that she does not receive an F.
The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. a) The probability that at most 7 minutes is taken to produce the part. b) The probability that between 5 and 15 minutes are taken to produce the part. c) The probability that at least 3 minutes is taken to pro
6) The daily rate of production of a part is normally distributed with mean 75 and standard deviation 10. If denotes a day's production of this part, use this information to find the following probabilities. You may use computer software if you wish. (5 points each) a) P (X less than or equal to 90) b) P(55 less than
A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want. a) That a mile stretch of road will have exactly 7 potholes. (3 points) b) That a half mile stretch of road will have at most 2 potholes. (6 points)
4) 55% of a restaurant's orders are from customers eating in the restaurant and 45% from the drive through window. 65% of the orders from the customers eating in the restaurant are from food and 35% from drinks. 79% of the drive through orders are from food and 21% from drinks. Use this information to find the following probabi
1. In a poll, respondents were asked whether they had ever been in a car accident. 157 respondents indicated that they had been in a car accident and 117 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car
1. Business College is planning an online MBA tech program, start up cost for equipment, facilities, course development, staff recruitment and development is $350,000. College plans to charge tuition of $18,000 per student per year. The university administration will charge the college $12,000 per student for the first 100 stu
1) Tire Life - The life of a tire is normally distributed with a mean of 76,000 miles and a standard deviation of 10,000 miles. a) Determine the probability that a tire will last for less than 67,000 miles. b) Determine the probability that a tire will last for more than 67,000 miles. c) Determine the probability
1. How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side? 2. If all the diagonals of a regular pentagon are drawn, how many triangles are formed? 3. If a 75-degree sector of a circle rotates around the center of a circle in 75-de
Evaluate the expression. Sec 12.6 #40 TWO Spins: assume that the pointer cannot land on the line and that each spin is independent. 40) Red and then yellow. Sec 12.9 #12 Evaluate the expression. a) b)
5.62 A certain airplane has two independent alternators to provide electrical power. The probabilitythat a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) On e or the other will fail? Show all steps carefully. 5.70 The probability is
7. Let A(4,3) and B(7,11) be two points in a plane. If all paths are equally likely, what would be the probability of choosing a path that begins with an up move and ends with an up move? (Each path is made up of moves that either go up one unit or over one unit to the right.) 8. In a state lottery game, anyone who picks 6 n
4. What are the odds that a randomly selected number between 1 and 100 will not have a digit 7? (For instance, 23 does not have a digit 7, but 73 does.) 5. There are 4 slots, each containing any of letters a, m, h, t. HINT: What are the odds that letters stored in these slots read the word math? Remember that each slot
What is a probability and what is a probability distribution? Explain with examples?
What "real world" factors do you think contribute to a skewed distribution? Please explain in detail.
A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number, but in his emotional state he does not remember the order of the digitals. He decided to try to dial the seven digits in some random order. What is the probability that he will get to the right gi
4. Each day for lunch, Dr. Smith either brings in a lunch, has Taco Bell or gets a free lunch in the Springdale Room as he takes either students or guests of the department for lunch. On any given day there is a 10% probability that he will eat in the Springdale Room. If he brought in lunch yesterday, then he either remembers
Solve the following problems showing your work: 1. In a poll, respondents were asked whether they had ever been in a car accident. 157 respondents indicated that they had been in a car accident and 117 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the pr
Solve the following problems showing your work: i need complete answers please 1. In a poll, respondents were asked whether they had ever been in a car accident. 157 respondents indicated that they had been in a car accident and 117 respondents said that they had not been in a car accident. If one of these respondents
If the cost of waiting is $5.00 per unit per period and the service facility costs $2.50 per unit served, what is the total system costs? If the service rate is doubled at a total cost of $3.50 per unit served, what is the total system costs? Note: Must use information from previous problem: The arrival rate for a certain wa
1. The weight in pounds of ten randomly-selected football players are: 245, 304, 310, 251, 195 185, 230, 264, 315, 196 Find the median of these weights. 2. The price in dollars of a gallon of gasoline at the end of each month is recorded for one year. The results are: (SEE ATTACHED FILE) Find the midrange of t
Assume a dart board with 4 scoring areas worth 20 pts, 10 pts, 5 pts and zero pts. Person A has the following likelihood with each dart: 20 pts - 50% 10 pts - 15% 5 pts - 15% 0 pts - 20% Person B has the following likelihood per dart: 20 pts - 20% 10 pts - 20% 5 pts - 10% 0 pts - 50% Question: If Player A gets to
1. Graphical Analysis Are the events shown in the Venn diagram below mutually exclusive? Please see the attachment for graph. 2. Decide if the events are mutually exclusive. Event A: Roll a 6 on an ideal six-sided die. Event B: Roll a 4 on an ideal six-sided die. 1 Use the table below to answer questions 3-7. Nursing
Determine whether each of the distributions given below represents a probability distribution. Justify your answer. (A) x 1 2 3 4 p(x) 1/4 5/12 1/16 1/16 B) x 3 6 8 p(x) 0.2 2/5 0.4 c) x 20 35 40 50 p(
Find the normal approximation for the binomial probability that x = 5, where n = 14 and p = 0.7. Compare this probability to the value of P(x=5) found in Table 2 of Appendix B in your textbook.
3. For this question pretend you are drawing cards without replacement from the infamous "Iraq's Most Wanted" deck issued by the U.S. Military before Saddam Hussein and his gang were killed or captured. If you are drawing from the full deck of 52 cards (no jokers), what are the following probabilities? a. You draw a card that
1) Suppose a deck of 10 cards each with a different digit from 0-9 are shuffled and a card from the top of the deck is drawn. Find the following probabilities. a) That the outcome is odd. b) That the outcome is prime (2, 3, 5 and 7). c) That the outcome is odd and prime . d) That the outcome is odd or prime . e) That the ou