Given that z is a standard normal random variable, compute P(z > -2.14). Select one: O a. 0.0166 O b. 0.0154 O C. 0.0162 d. 0.9838 O e. 0.9834 O f. 0.9842 O g. 0.0158 O h. 0.9846
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- Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The weight of a T-bone steak b. The time it takes to fly from City A to City B c. The gender of college students d. The number of light bulbs that burn out in the next week in a room with 18 bulbs e. The height of a randomly selected giraffe f. The time it takes for a light bulb to burn out a. Is the weight of a T-bone steak 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.k is a probability distribution 4* Given that p(x) = for a random variable X that can take on the values x = 0, 1, 2, and 3. k is a constant. a) Find the pmf of X. b) Find the mean of X c) Find the variance of XPLEASE ANSWER IT IN 30 MINUTES AND SHOW COMPLETE SOLUTION.
- Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. The table below shows the percentage of successful free throws and field goals a professional basketball player makes in a season: X 44 51 67 90 89 86 y 45 59 62 66 74 66 What is the value of xyz Σxy?Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. 0.318 0.310 0.340 0.248 0.367 0.269 y 3.2 7.8 4.0 8.6 3.1 11.1 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Round only r to three decimal places.) Σχ = ΣΥ Ex2 = Ey2 Σχy - (b) Use a 5% level of significance to test the claim that p + 0. (Round your answers to three decimal places.) t = critical t = Conclusion O Reject the null hypothesis, there is sufficient evidence that p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Find S, a, and b. (Round your answers to four…Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional player. A random sample of n = 6 professional baseball players gave the following information. 0.348 0.274 0.340 0.248 0.367 0.269 y 2.8 7.6 4.0 8.6 3.1 11.1 Σχ= 1.846, Ey = 37.2, Ex² = 0.580334, Ey² = 288.38, Exy = 10.6732, and r = -0.913. %3D (b) Use a 10% level of significance to test the claim that p + 0. (Use 2 decimal places.) t critical t + (d) Find the predicted percentage ŷ of strikeouts for a player with an x = 0.346 batting average. (Use 2 decimal places.) % (e) Find a 95% confidence interval for y when x = 0.346. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 10% level of significance to test the claim that ß + 0. (Use 2 decimal places.) t critical t + (g) Find a 95% confidence interval for B and interpret its meaning. (Use 2 decimal places.) lower limit upper limit
- Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 69 66 63 65 76 76 y 54 53 51 43 47 45 Verify that Se ≈ 4.739, a ≈ 67.050, b ≈ –0.263, and , ∑x =415, ∑y =293, ∑x2 =28,863, and ∑y2 =14,409, and find a 90% confidence interval for β and interpret its meaning. Round your final answers to three decimal places. answer choices: The 90% confidence interval for β is from –0.993 to 0.466 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between –0.99 and 0.47. The 90% confidence interval for β is from –1.065 to 0.539 and means that for every percentage…Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The amount of rainfall in a country in a year b. The last book a person in City A read c. The time it takes to drive from City A to City B d. The weight of a hamburger e. The number of people with blood type B in a random sample of 32 people f. The number of home runs in a baseball game a. Is the amount of rainfall in a country in a year a discrete random variable, continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. OC. It is not a random variable. b. Is the last book a person in City A read a discrete random variable, continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. c. Is the time it takes to drive from City A to City Ba discrete random variable, continuous random…Let X be a discrete random variable with the following PMF PX(x) = 0.10 for x = 0.20 = 0.20 for x = 0.40 = 0.20 for x = 0.50 = 0.30 for x = 0.80 = 0.20 for x = 1.00 = 0.00 otherwise a. Find Rx, the range of the random variable X. b. Find P (X≤0.50). c. Find P (0.25 < X < 0.75). d. Find P (X = 0.20 | X<.060).
- Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The time required to upload a file to the Internet b. The last book a person in City A read c. The number of light bulbs that burn out in the next year in a room with 15 bulbs d. The number of home runs in a baseball game N e. The number of people with blood type B in a random sample of 26 people f. The time it takes to drive from City A to City B 3: F2 a. Is the time required to upload a file to the Internet a discrete random variable, continuous random variable, or not a random variable? OA. It is a continuous random variable. OB. It is a discrete random variable. OC. It is not a random variable. b. Is the last book a person in City A read a discrete random variable, continuous random variable, or not a random variable? OA. It is a discrete random variable. OB. It is a continuous random variable. OC. It is not a random variable. c. Is the number of light bulbs…Let Z be a standard normal random variable. Determine the value of c. P ( Z ≤ c) = 0.1515Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The amount of rainfall in a country in a year b. The last book a person in City A read c. The time it takes to drive from City A to City B d. The weight of a hamburger e. The number of people with blood type B in a random sample of 32 people f. The number of home runs in a baseball game c. Is the time it takes to drive from City A to City Ba discrete rardom variable, contınuous random variable, or not a ràndom vanable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. d. Is the weight of a hamburger a discrete random variable, continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. e. Is the number of people with blood type B in a random sample of 32 people a discrete random variable,…