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1) Using the following uniform density curve, answer the question.What is the probability that the random variable has a value between 0.2 and 0.8?Answer:A) 0.075B) 0.325C) 0.05D) 0.22) Using the following uniform density curve, answer the question.What is the probability that the random variable has a value less than 3.4?Answer:A) 0.1750B) 0.3000C) 0.4250D) 0.55003) Using the following uniform density curve, answer the question.What is the probability that the random variable has a value greater than 5.5?Answer:A) 0.4375B) 0.2625C) 0.3125D) 0.18754) Using the following uniform density curve, answer the question.What is the probability that the random variable has a value less than 7?Answer:A) 1.000B) 0.750C) 0.625D) 0.8755) Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.Shaded area is 0.4483.Answer:A) 0.3264B) 0.13C) 0.6736D) -0.136) Using the following uniform density curve, answer the question.What is the probability that the random variable has a value less than 2.5?Answer:A) 0.1875B) 0.4375C) 0.0625D) 0.31257) Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost.Between 7 pounds and 10 poundAnswer:A) B) C) D) 8) Assume that X has a normal distribution, and find the indicated probability.The mean is?= 15.2 and the standard deviation is??= 0.9.Find the probability that X is greater than 16.1.Answer:A) 0.1357B) 0.1550C) 0.1587D) 0.84139) Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost.Between 8.5 pounds and 10 poundsAnswer:A) B) C) D) 10) Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.Answer:A) 0.0301B) 0.0602C) 0.9699D) 0.939811) Find the indicated probability.The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?Answer:A) 0.0179B) 0.0166C) 0.9834D) 0.483412) Assume that X has a normal distribution, and find the indicated probability.The mean is??= 15.2 and the standard deviation is??= 0.9.Find the probability that X is greater than 17.Answer:A) 0.9713B) 0.9772C) 0.0228D) 0.982113) Solve the problem.In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of??and a standard deviation of??If 50 different homes are randomly selected, find the probability that their mean energy consumption level for September is greater than?Answer:A) 0.2090B) 0.2910C) 0.0438D) 0.456214) Assume that X has a normal distribution, and find the indicated probability.The mean is??= 60.0 and the standard deviation is??= 4.0.Find the probability that X is less than 53.0.Answer:A) 0.5589B) 0.0401C) 0.9599D) 0.080215) Solve the problem.If a continuous uniform distribution has parameters of??and??then the minimum is??and the maximum is??For this distribution, find??Round your answer to three decimal places.Answer:A) 0.577B) 0.722C) 0.417D) 0.86616) Find the indicated value.z0.10Answer:A) 1.58B) 1.17C) 1.05D) 1.2817) Solve the problem. Round to the nearest tenth unless indicated otherwise.Scores on an English test are normally distributed with a mean of 37.6 and a standard deviation of 7.6. Find the score that separates the top 59% from the bottom 41%Answer:A) 39.3B) 42.1C) 33.1D) 35.918) Solve the problem.In a game of roulette, Jorge places 170 bets of??each on the number 3. A win pays off with odds 35:1 and on any one spin there is a??probability that 3 will be the winning number. Among the 170 bets, what is the minimum number of wins needed for Jorge to make a profit? Estimate the probability that Jorge will make a profit.Answer:A) 6; 0.2327B) 5: 0.4013C) 5; 0.496D) 6; 0.312119) Solve the problem. Round to the nearest tenth unless indicated otherwise.In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.Answer:A) 1078.3B) 1021.7C) 1087.8D) 1148.120) Solve the problem. Round to the nearest tenth unless indicated otherwise.Suppose that replacement times for washing machines are normally distributed with a mean of 10.8 years and a standard deviation of 1.4 years. Find the replacement time that separates the top 18% from the bottom 82%.Answer:A) 9.5 yearsB) 11.1 yearsC) 11.3 yearsD) 12.1 years21) Provide an appropriate response.The number of books sold over the course of the four-day book fair were 178, 148, 216, and 64. Assume that samples of size 2 are randomly selected with replacement from this population of four values. Identify the probability of each sample, and describe the sampling distribution of the sample means.Answer:22) Provide an appropriate response.The number of books sold over the course of the four-day book fair were 140, 163, 206, and 90. Assume that samples of size 2 are randomly selected with replacement from this population of four values. Identify the probability of each sample, and describe the sampling distribution of the sample means.Answer:23) Provide an appropriate response.Personal phone calls received in the last three days by a new employee were 2, 4, and 7. Assume that samples of size 2 are randomly selected with replacement from this population of three values. Identify the probability of each sample, and describe the sampling distribution of the sample means.Answer:24) Provide an appropriate response.Consider the uniform distribution shown below. Find the probability that x is greater than 6. Discuss the relationship between area under a density curve and probability.Answer: ................
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