Suppose that the random variable z has a standard normal distribution. Sketch each of the following z points, and use the normal table to find each z point. a) z.01 b) z.05 c) z.02
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Suppose that the random variable z has a standard
a) z.01
b) z.05
c) z.02
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- Assume that Z is the standard score of a normally distributed set of data. Determine the value of the following: a.) P(Z > 1.35) b.) P(Z > 2.63) c.) P(Z < 0.61) d.) P(Z < -2.06) e.) P(-2.81 < Z < -1.05) f.) P(-1.25 < Z < 2.54)You know the minimum and the maximum of a distribution. Which of the following measures of variablity can you determine? a.) Interquartile Range b.) Variance c.) mean Absolute Deviation d.) RangeLet Z be the standard normal variable. Find the values of z if z satisfies the following: P(Z < z) = 0.9251 A) -0.57 B) 0.98 C) 0.37 D) 1.44 E) 0.87
- For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a. To the right of 2.120. (Use 3 decimals.) b. To the left of 1.337. (Use 2 decimals.) c. To the left of -1.746. (Use 2 decimals.) d. To the right of 2.583. (Use 2 decimals.) e. Between -2.120 and 2.120. (Use 2 decimals.) f. Between -1.746 and 1.746. (Use 2 decimals.)The standard normal distribution O Both A and C O C. has a positive mean and a positive variance A. is a skewed distribution OB. has a mean 0 and a variance 1.A random sample of 20 college men's basketball games during the last season had an average attendance of 5,188 with a sample standard deviation of 1,773. Complete parts a and b below. a. Construct a 99% confidence interval to estimate the average attendance of a college men's basketball game during the last season. The 99% confidence interval to estimate the average attendance of a college men's basketball game during the last season is from a lower limit of to an upper limit of (Round to the nearest whole numbers.)
- Let Z be the standard normal variable. Find the values of z if z satisfies the following: P(Z > z) = 0.3336 A) -0.42 B) 0.43 C) -0.21 D) 0.78 E) -0.07Q. Suppose, in an exam there are two parts in the question paper that are part A and part B. Let us assume that, X and Y represent the marks obtained in part A and part B respectively. The joint distribution of X and Y are given below: Y p(x.y) Y = 0 Y = 5 Y = 10 Y = 15 X = 0 0.02 0.06 0.02 0.10 X = 5 0.04 0.15 0.20 0.10 X = 10 0.01 0.15 0.14 0.01 a. If the total marks are obtained by adding the marks obtained in the two individual parts of the question paper then find the expected marks, E[X,Y] obtained by a randomly selected student. b. If the maximum marks of the two parts are recorded then what is the expected recorded marks? Write your answer in the script, convert into pdf and then submit the pdf on the provided link at the end. (Not here)Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 116 and 144? a) 47.5% b) 68% c) 13.5% d) 95% e) 34% f) 81.5%
- Q1 The travel time (T) from district A to district B in a city may be 0.5, 1.0, 1.5, 2.0, 2.5 or 3. and the corresponding probability mass function is given as shown in the figure below. a) Find the mean value of the travel time. b) Find the modal value. c) Find the variance, standard deviation and coefficient of variation of the travel time. d) What is the probability that the travel time will be less than or equal to 1.5 hour P(T <1.5) =? 0.35 0.30 0.3 0.25 0.25 0.20 0.2 ' 0.15 0.10 0.10 0.1 0.05 0.05 0.5 1 1.5 2 2.5 3 I (hours) (1)'dObtain the characteristic function of the normal distribution. Deduce the first four central moments.In the standard normal distribution, the mean is equal to ______ and the standard deviation is equal to ______. a)1; 1 b)0; 0 c)0; 1 d) 1; 0