Assume the random variable X is normally distributed with mean p = 50 and standard deviation o =7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35
Q: Assume the random variable X is normally distributed with mean u= 50 and standard deviation o = 7.…
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A: Given Mean=50 Standard deviation=7
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A: The distribution of x is obtained as X~(27,175, 46,389,721), from the calculation given below:
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A: According to the given information in this question Mean = 50 Standard deviation = 7
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A: Given information Mean = mu = 76.0 Standard deviation = s= 12.5 Z score formula = x - mu /s
Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per…
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Q: Assume the random variable X is normally distributed with mean u= 50 and standard deviationo =7.…
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Q: Assume the random variable X is normally distributed with mean μ = 50 and standard deviation o=7.…
A: From the provided information,Mean (µ) = 50Standard deviation (σ) = 7X~N (50, 7)
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Q: Assume the random variable X is normally distributed with mean µ = 50 and standard deviation o=7.…
A: Let , the random variable X is normally distributed. Mean = μ= 50 Standard deviation = σ = 7
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Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7.…
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- Suppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. If one car is randomly chosen, find the probability that it is traveling more than 67 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 74 and 77 mph. d. 83% of all cars travel at least how fast on the freeway? mph.Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 83 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution is of individuals, not…Assume that the random variable X is normally distributed, with mean μ = 49 and standard deviation o=11. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X ≤39) Which of the following shaded regions corresponds to P(X ≤39)? A. 39 49 X P(X≤39) = (Round to four decimal places as needed.) B. 39 49 X 39 49 X
- What is the probabilityPrivate nonprofit four-year colleges charge, on average, $27,449 per year in tuition and fees. The standard deviation is $7,255. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 23,088 per year. c. Find the 65th percentile for this distribution. $ (Round to the nearest dollar.) ANSWER TO (C) IS NOT 30242Suppose that the weight of seedless watermelons is normally distributed with mean 6.7 kg. and standard deviation 1.4 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 7.7 kg? d. What is the probability that a randomly selected watermelon will weigh more than 6.4 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 6 and 6.8 kg? f. The 75th percentile for the weight of seedless watermelons is kg.
- Assume that females have pulse rates that are normally distributed with a mean of μ = 75.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. C. Since the mean pulse rate exceeds 30, the distribution of sample…Suppose that the weight of seedless watermelons is normally distributed with mean 6.4 kg. and standard deviation 1.4 kg. Let X be the weight of a randomly selected seedless watermelon. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median seedless watermelon weight? kg. c. What is the Z-score for a seedless watermelon weighing 7 kg? d. What is the probability that a randomly selected watermelon will weigh more than 6.8 kg? e. What is the probability that a randomly selected seedless watermelon will weigh between 5.8 and 6.3 kg? f. The 90th percentile for the weight of seedless watermelons is kg.Private nonprofit four-year colleges charge, on average, $27,741 per year in tuition and fees. The standard deviation is $7,012. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( , )b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 28,487 per year. ____c. Find the 78th percentile for this distribution. $_____ (Round to the nearest dollar.)
- Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is- (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the…Private nonprofit four-year colleges charge, on average, $26,765 per year in tuition and fees. The standard deviation is $7,207. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 23,526 per year. c. Find the 64th percentile for this distribution. $ (Round to the nearest dollar.)