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Suppose that of the time danny attends a concert twice a week of the time he attends a

 
 

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1.The cost of renting a car is $46 /wk plus $0.25 /mi traveled during that week. An equation ...

esent the cost would be y=46+0.25x , where x is the number of miles traveled. a. What is your cost if you travel 59 mi? The cost is $ 43.26 . b. If your cost was $66.25 , how many miles were you charged for traveling? You were charged for traveling 66.51 miles. c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel? The maximum number of miles you could travel is Number
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2.33. Suppose that the scores on a statewide standardized test are normally distributed with a mean of 63 and a ...

63 and a standard deviation of 2. Estimate the percentage of scores that were  (a) between 59 and 67.  %  (b) above 69.  %  (c) below 59.  %  (d) between 57 and 67.  %
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3.Suppose a company wants to set a machine such that only 4% of the bottles filled contain less than 52 ...

2 ounces of fluid. if the standard deviation of fill is 2.1 ounces, what should the mean setting of the machines be if the fills are normally distributed? What percentage of the bottles then filled contain greater than 60 ounces?
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4.3) Suppose that a piece of equipment produces steel pipes and malfunctions 5% of the time, if the next 4 ...

xt 4 tests are performed, find P(x=0), P(x=1), P(x=2),P(x=3) and P(x=4). SHOW ALL WORK TO GET CREDIT) 4) Use the confidence interval (99%) to solve the following question. A company is trying to establish the number of average amount of funds that are owed by its employees. They collect 1,000 accounts and found the sample average owed is $250 with a standard deviation of 10. Calculate the confidence interval (MUST SHOW ALL WORK TO GET CREDIT) 5) Use the t distribution formula and table to solve the following question. A random sample of 91 with a sample average of 90 and a standard deviation of 4.2 hours, calculate the confidence interval at 98% (MUST SHOW ALL WORK TO GET CREDIT) 6) A poll of 3,000 adults out of 5,500 was collected to found that they did not get a master’s degree. Calculate the confidence interval at 95%. (MUST SHOW ALL WORK TO GET CREDIT)
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5.Suppose that a piece of equipment produces steel pipes and malfunctions 5% of the time, if the next 4 tests ...

4 tests are performed, find P(x=0), P(x=1), P(x=2),P(x=3) and P(x=4). SHOW ALL WORK TO GET CREDIT)
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6.Customers arrive at a soft drink dispensing machine according to a Poisson process with rate λ per hour. Let N(t) ...

hour. Let N(t) be the number of custoer arrivals up to time t, with hour as the unit. There are two types of soft drinks, type A and B, stored in the machine. Suppose that each time a customer deposits money, the machine dispenses one soft drink A with probability p1, or one soft drink B with probability p2. We have p1 + p2 = 1, p1 > 0, p2 > 0. Let X(t) be the number of type A soft drinks dispensed up to time t; and Y (t) be the number of type B soft drinks dispensed up to time t.
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7.11. In a game, you draw thirteen cards with replacement from a deck of playing cards. If you draw any ...

y aces or twos, you lose the game immediately. You also lose if you draw picture cards(J,Q,K) more than twice. In this question, you’ll study the probability of winning this game.(a) What is the probability of drawing no aces or twos after thirteen draws?(b) Given you have drawn thirteen times, none of which is aces or twos, what is the probability that you draw at most two picture cards?(c) What is the probability to win this game? 12. Suppose you are tossing an unbiased coin for100times.(a) What is the probability of getting50heads and50tails?(b) LetXbe the random variable counting the number of heads you observe in this exper-iment. What is the expected value ofX? What is the variance ofX? What is thestandard deviation ofX? 13. The following are probability distributions for two random variablesX,Y. kPr(X=k) 0,0.4 1,0.3 2,0.3 kPr(Y=k) 0,0.5 1,0.3 2,0.2 (a) Construct the probability distribution table for the random variableXY.(b) Find E[X],E[Y] and E[XY]. Is is true that E[XY] =E[X]E[Y]?(c) Find the variances σ2X,σ2Y,σ2XY of X,Y and XY. Is it true that σ2XY=σ2Xσ2Y? 14. The aliens who are fond of gambling came back to play another game with you. In this game, you first toss a coin5times. If you observe3or fewer tails, you roll a die3times. If youobserve4or more tails, you roll a die20times. What is the probability that you end up with at most two6’s in your dice rolls? 15. (Challenge question, worth2points) You have two bags, each of which contains10marbles.Each time you remove a marble from a random bag. What is the probability that after one of the bags is emptied, there are still exactly3marbles in the other bag?
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8.Suppose that 5% of the time Danny attends a concert twice a week, 45% of the time he attends a ...

rt once a week, and 50% of the time he doesn't attend a concert at all in a given week. What is the expected value for the number of times Danny attends a concert during a week?
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics