QUESTION 8 A variable whose value can change each time the same measurement is taken, and can take on all real values - or at least all non-negative real values - is known as: a. a probability density function b. a discrete random variable C. a continuous random variable d. a normal distribution
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Q: Question 3: Let x be a continuous random variable that follows a normal distribution with a mean of…
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- Question 6: If the random variable X has a normal distribution with mean 40 and std. dev. 5, calculate the following probabilities. Р(X > 43), P(X 23).Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in the English language were “e”s. Suppose random samples of 196 letters are selected from a book What is the probability that a random sample of 196 letters will contain at least 10% "e"s? Type your calculated z-score here. Express its value to the nearest hundredth (two decimal places). Type your probability here. Express its value to four decimal places. Do not round.Question 3 If z is a standard normal variable, find the probability that z lies between -1.10 and -0.36. 0.2237 0.2239 0.4951 -0.2237
- Find the area under the standard normal probability distribution between the following pairs of z-scores. a. z = 0 and z = 1.00 b. z = 0 and z = 2.00 c. z = 0 and z=3.00 d. z = 0 and z=0.46 e. z = -1.00 and z = 0 f. z = -2.00 and z=0 g.z= -1.67 and z=0 h. z = -0.46 and z=0 a. The area under the standard normal probability distribution is 0.314 (Round to three decimal places as needed.) b. The area under the standard normal probability distribution is 0.477 (Round to three decimal places as needed.) c. The area under the standard normal probability distribution is 0.499 (Round to three decimal places as needed.) d. The area under the standard normal probability distribution is (Round to three decimal places as needed.) e. The area under the standard normal probability distribution is (Round to three decimal places as needed.) f. The area under the standard normal probability distribution is (Round to three decimal places as needed.) g. The area under the standard normal probability…Which of the following statements about Chebyshev's theorem is correct? B. Chebyshev's theorem states that all data points lie within three standard deviations of the mean in A. Chebyshev's theorem is only applicable to discrete distributions. any distribution. C. Chebyshev's theorem applies only to positively skewed distributions. D. Chebyshev's theorem applies to any distribution, regardless of its shape. E. Chebyshev's theorem is limited to normal distributions only. F. Chebyshev's theorem guarantees that at least 75% of data lie within three standard deviations of the mean in any distribution. 6. If a data set has a standard deviation of 18 and mean of 70, according to Chebyshev's theorem, what is the interval that must contain at least 19% of the data? A 50 to 90 3 B. 55 to 85 C. 20 to 80 D. 40 to 60 E. 35 to 65 F. None of the above FinaQuestion 4 According to the WHO, the birth weight for male babies born full-term is normally distributed with a mean 90.1 oz and a standard deviation of 17.3 oz. Let X be the birth weight of a randomly selected male baby born full-term. 1. Describe the probability distribution of X and state its parameters and σ: X Select an answer Select an answer XTBZEN a. less than 128.5 oz. b. between 61.9 and 82.1 oz. c. more than 131.7 oz. X² (μ = 2. Find the probability that the birth weight of a randomly selected male baby born full-term is 3. Find the 65-th percentile for the birth weight. 0 = (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) oz (Round the answer to 1 decimal place)
- Unit 3, Topic 12, Exercise 12-06 Pregnancy Durations Data from the National Vital Statistics System reveal that the distribution of the duration of human pregnancies (i.e., the number of days between conception and birth) is approximately normal with 270 and standard deviation 17 days. Use this normal model and a table of standard normal probabilities to determine the proportion of all pregnancies that come to term (have a mean duration) in the following number of days. Round your answers to four decimal places. a. Less than 247 8 days (approximately months). b. More than 272 days (approximately months). c. More than 300 days. d. Between 260 and 280 days.QUESTION 5 Which of the following is not a characteristic of the normal probability distribution? a. The mean, median, and the mode are equal b. The distribution is symmetrical c. The standard deviation must be 1 d. The mean of the distribution can be negative, zero, or positiveA normal distribution with a mean of O and a standard deviation of 1 is called O a probability density function. O a standard normal distribution. O an ordinary normal curve. none of the other statements is correct.
- Given Z = X-μ/σ, what is the mean and standard deviation value, respectively of a standard normal distribution? A. 1, 0 B. 0, 1 C. 2, 0 D. 1, 2Any normal distribution has a variance of one and a mean zero Select one: O True O FalseMatch the appropriate probability distribution functions shown in column B with the statistic present in column A drawn from a normally distributed population. Statistic Probability Distribution Sample Mean, Known population mean population standard deviation F distribution Sample Mean, Known population mean unknown population standard deviation Chi-square distribution Sample standard deviation Student “t”- distribution Ration of Sample Standard deviations Normal Distribution