QNT 351 Week 4 Individual Assignment MyStatsLab 14-Problems This tutorial contains 2 Sets of stats lab problems also This tutorial contains excel file which can be used to solve your lab problems even if the values doesn`t match Week 4 Problems 1. Determine whether the random variable is discrete or continuous. 2. Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) the number of light bulbs that burn out in the next week in room with 17 bulbs (b) the amount of rain in City B during April (a) Is the number of light bulbs that burn out in the next week in room with 17 bulbs discrete or continuous? A. The random variable is continuous. The possible values are 0?x?17 B. The random variable is discrete. The possible values are 0, 1, 2...17 C. The random variable is continuous. The possible values are 0, 1, 2...17 D. The random variable is discrete. The possible values are 0?x?17 3. The random variable x has the following discrete probability distribution. Complete parts a trough f. a. List the values x may assume. 1, 4, 5, 8, 9 b. What value of x is most probable? 9 c. Display the probability distribution as a graph. Choose the correct graph bellow. 4. A discrete random variable x can assume five possible values 2, 3, 5, 7, and 9. Its probability distribution is shown here. Complete parts a trough c. Question 5 Set 1 6. Find the following probabilities for the standard normal random variable z. a. P(z>1.79) b. P(z< -1.46) c. P(0.54 ? z ? 2.67) d. P(- 2.34 < z > 1.77) For this question to get quick solution use excel file 7. Find the area under the standard normal probability distribution between the following pairs of z - scores. For this question to get the solution quickly use excel file a. z=0 and z=3.00 b. z=0 and z=1.00 c. z=0 and z=2.00 d. z=0 and z=0.62 8. Find the area under the standard normal probability distribution between the following pairs of z - scores. For this question to get the solution quickly use excel file a. z=0 and z=1.00 9. Find the following probability for the standard normal random variable z. For this question to get the solution quickly use excel file 10. Suppose the random variable x is best described by a normal distribution with = 26 and = 5. Find the z score that corresponds to each of the following x - values. For this question to get the solution quickly use excel file 11. Suppose x is a normal distributed random variable with = 11 and = 2. Find each of the following probabilities. For this question to get the solution quickly use excel file 12. The ages of a group of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One woman is randomly selected from the group, and her age is observed. For this question to get the solution quickly use excel file a. Find the probability that her age will fall between 55 and 59 years. b. Find the probability that her age will fall between 47 and 53 years. c. Find the probability that her age will be less than 35 years. d. Find the probability that her age will exceed 41 years 13. Financial analysts who make forecasts of stock prices are categorized as either buy-side analysts or sell-side analysts. The mean and standard deviation of the forecast errors for both types of analysts are shown is the table to the right. Assume that the distribution of forecast errors are approximately normally distributed. For this question to get the solution quickly use excel file 14. The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. a. What is the probability that a randomly selected hybrid gets more than 62 miles per gallon? b. What is the probability that a randomly selected hybrid gets 50 miles per gallon or less? 15. Resource Reservation Protocol (RSVP) was originally designed to establish signaling links for stationary networks. RSVP was applied to mobile wireless technology. A simulation study revealed that the transmission delay (measured is milliseconds) of an RSVP linked wireless device has an approximate normal distribution with mean =46.5 milliseconds and = 8.5 milliseconds. Complete part a and b.

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