1. Let X be a random variable with u = 79 and o = 7. The distribution is normal and the sample size is 10. Find the probability that the score selected randomly is less than 85. a.
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- 2. Let X be the mean of a random sample of n = 25 from N(30, 9). Find the probability that the sample mean is between 29.8 and 30.6.following random 2. Let W be a random variable giving 1. Classify variables as discrete or continuous a. X: the number of automobile accidents per year in EDSA b. Y: the length of time to paly 18 holes of golf. c. M: the amount of eggs laid each month by a hen. d.P: the number of building permits issued each month in Camiling, the the number of heads minus the number of tails in three tosses of a coin. a. List all elements of the sample space S for the three tosses of the coin and to each sample point assign a value w of W. b. Find the probability distribution of the random variable W, assuming that the coin is biased so that a head is twice as likely Tarlac e. Q: the weight of grain produces per hectare. to occur as a tail. c. Compute for value, variance and standard deviation variabe W. the expected of the randomBill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and a- 0.90 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is u= 4.70 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.70 grams? Use a- 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: H 4.7 g; right-tailed Ho: H= 4.7 g; H: < 4.7 g; left-tailed Ho: H- 4.7 g; H: 4.7 g; two-tailed (b) What sampling distribution will you use? Explain the rationale…
- A. Classify each random variable as discrete or continuous. 1. X: Number of women among 20 newly hired teachers 2. Y: Height (in centimeters) of a 30 randomly selected adult males 3. Z: Number of car accidents among 8 selected cities 4. A: Amount of rainfall (in millimeters) in different cities in Metro Manila 5. B: Number of gifts received by 20 students during Christmas seasonGive the percent of scores between the mean and the z-value of normally distributed random variable. a 1) 1.258. For a normal distribution with u = 500 and o = 100, find the following values: a. What X value separates the highest 10% of the distribution from the rest of the scores? b. What X values form the boundaries for the middle 60% of the distribution? %3D c. What is the probability of randomly selecting a score greater than X = 475?
- Let a random variable X have the t, distribution. What is the distribution of X?? Select one: O a. x O b. FABill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…4. Let X be a random variable with values 2, 3, 5, and 6. Find the sampling distribution of the mean of the samples without replacement if n=2. Sample size of Sample Mean Sample Mean x Probability P(x) f
- Let the random variable X follow a normal distribution with u = 70 and o= 49. a. Find the probability that X is greater than 80. b. Find the probability that X is greater than 55 and less than 80. c. Find the probability that X is less than 75. d. The probability is 0.3 that X is greater than what number? e. The probability is 0.07 that X is in the symmetric interval about the mean between which two numbers? Click the icon to view the standard normal table of the cumulative distribution function. ... a. The probability that X is greater than 80 is (Round to four decimal places as needed.)Determine whether each random variable is discrete or continuous. Answer only DISCRETE OR CONTINUOUS.a. The number of boys in a three-child family chosen at random.b. A cup of coffee served at a restaurant's temperature.c. The number of no-shows for every 100 commercial airline reservations.d. The number of automobiles owned by a household chosen at random.e. The average amount spent on electricity by a randomly selected household ineach state during the month of July.Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of hits to a website in a day b. The weight of a T-bone steak c. The gender of college students d. The number of statistics students now reading a book e. The number of textbook authors now sitting at a computer f. The number of people in a restaurant that has a capacity of 200 a. Is the number of hits to a website in a day a discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable Clear all FirN check View an example Get more help - Help me solve this Copyright © 2022 Pearson Education Inc. All rights reserved. I Terms of Use | Privacy Policy I Permissions | Conta 80°F Mostly cloudy ere to search hp