$400 Question from Prob Dist Find the probability that x is within 2 deviations of the mean. x012345 P(x)0.030.070.230.330.240.1
$400 Answer from Prob Dist Mean = 2.98 St. Dev. = 1.19 Mean ±2Dev 2.98 ± 2(1.19) 0.6 to 5.36 Answer: 0.97
$500 Question from Prob Dist The distribution above represents the number of broken eggs in a carton. What is the probability that I randomly choose two cartons and exactly the both have exactly ten unbroken eggs? x012345 P(x)0.330.270.180.120.060.04
$500 Answer from Prob Dist Ten unbroken = 2 broken P(X=2 and x=2) = 0.18 * 0.18 = 0.0324
$100 Question from Linear Comb Find: MeanSt. Dev A143 B224
$100 Answer from Linear Comb 3(14)+4(22)+5 = 135
$200 Question from Lin Comb Find: MeanSt. Dev A143 B224
$300 Question from Lin Comb The following are the mean times and standard deviations for the runners on a relay race team. Find the mean time for the race and the standard deviation. MeanSt. Dev Ed1.10.2 Mary1.50.3 Ted1.40.1 Julie1.30.15
$400 Question from Lin Comb x = #hours246810 P(x)0.140.180.220.250.21 The following represents the number of hours of work per doll and number of dolls that Mary makes. She gets paid $4 per hour and $20 per doll and there is a flat cost of $50 for supplies. Find the average amount of money that Mary makes and the standard deviation. y = #dolls47101215 P(y)0.120.140.280.320.14
$400 Answer from Lin Comb Mean: 4(6.42)+20(10.2) – 50 = $179.68 St. Dev:
$500 Question from Lin Comb The mean annual salary of employees at a company is $36,000 with a variance of $15,202,201. At the end of the year, each employee receives a $2000 bonus and a 4% raise (based on salary). What is the mean and standard deviation of the new salaries?
$100 Question from Binomial In a recent survey they found that 25% of U.S. adults prefer texting because “it’s great for flirting.” In a sample of 50, what is the mean & standard deviation of the number who prefer texting due to the ease of flirting
$200 Question from Binomial A survey found that 41% of women in the U.S. consider reading their favorite leisure-time activity. If I randomly select 12 women, find the probability that exactly 7 consider reading their favorite leisure-time activity. (Use formula)
$300 Question from Binomial A survey found that 72% of people in the U.S. prefer having a dog as a pet than a cat. What is the probability that in a sample of 82 people, less than 57 prefer a dog? (Use calculator)
$400 Question from Binom A survey found that 72% of people in the U.S. prefer having a dog as a pet than a cat. What is the probability that in a sample of 59 people at least 40 prefer a dog? (Use calculator)
$500 Question from Binom Suppose we have a random variable X where the probability associated with the value k is For k = 0, 1, 2,….12. What is the mean of X?
$500 Answer from Binomial Mean = 12 (0.22) = 2.64
$100 Question from Geometric The probability that a student passes the written test for a private pilot’s license is 0.68. what is the probability that a student will not pass until the third attempt?
$200 Question from Geometric 29% of American teens say that they would break up with their boyfriend/girlfriend for $10,000. What is the probability that while interviewing teens, you find one that agrees within the first three asked?
$500 Question from Geometric Two dice are rolled. If you roll a sum of 12 you can win $100. You can win $50 for a sum of 10 or $5 for a sum of 8. If it costs $10 to play this game, find the expectation of the game.
$100 Question from Normal The mean annual consumption of peanuts are normally distributed with a mean of 5.9 pounds per person and a standard deviation of 1.8 pounds per person. What percent of people annually consume less than 4.5 pounds of peanuts per person?
$200 Question from Normal The thicknesses of washers produced by a machine are normally distributed, with a mean of 0.425 inch and a standard deviation of 0.005 inch. A washer is selected at random, find the probability that the washer is between 0.423 and 0.426 inch thick?
$300 Question from Normal The braking distances of a sample of Nissan Altimas are normally distributed with a mean of 129 feet and a standard deviation of 5.18 ft. What is the longest braking distance one of these Nissan Altimas could have and still be in the bottom 5%?
$400 Question from H6 The average time spent sleeping (in hours) for medical residents is normally distributed with a mean of 6.1 hours and a standard deviation of 1.02 hours. Between what two values does the middle 40% of the sleep times lie?
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