Suppose the birth weights of full-term babies are normally distributed with mean 3450 grams and standard deviation o = 510 grams. Complete parts (a) through (c) below. .... (a) Draw a normal curve with the parameters labeled. Choose the correct graph below. O A. OB. Oc. D. 2940 2430 3450 2940 3450 3960 3960 3450 3450 4470 2430 4470
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- Suppose that the distribution of Uber rides around the quoted arrival time is normally distributed. Themean waiting time (relative to the quoted time) is 0, with a standard deviation of 3 minutes.a. Using the empirical rule, what percentage of rides arrive within 3 minutes of the mean (3 minutesbefore to 3 minutes after)?b. Graphically depict the area that would need to be calculated to determine the probability ofwaiting more than 4 minutes for a ride. Explain your graph.#14 Control Charts: Yellowstone National Park Yellowstone Park Medical Services provides emergency health care for park visitors. The average number of visitors treated is 21.7 per day during the summer period. The estimated standard deviation is 4.2 visitors. a. For a 10-day summer period, the following data show the number of visitors treated each day. Day 1 2 3 4 5 6 7 8 9 10 # 25 19 17 15 20 24 30 19 16 23 Make a control chart for the daily number of visitors treated and plot the data on the control chart. Does the data indicate that the number visitors treated is "in Control"? b. For another 10-day summer period, the following data saw obtained. Day 1 2 3 4 5 6 7 8 # 20 15 12 21 24 28 32 36 96 35 10 37 17 Make a control chart for the daily number of visitors treated and plot the data on the control chart. Does the data indicate that the number visitors treated is "in Control"?The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds. Streaming Videos -36 39 114 189 264 339 414 489 564 Length (Seconds) What percentage of videos on the streaming site are between 39 and 189 seconds? 0.15% 15.85% O 16% 34%
- Suppose you are shopping online for a new toy for your dog. As you look at the product reviews, you see the following distribution of ratings. Use this table for questions 2-5. Stars 5 4 3 st 2 IN 1 Frequency 9 3 2 1 54. There are 10 keys and only one of them can open a lock. We do not know which key can open the lock, but we will try them one by one until we find the right key. Let X denote the number of times tried to find the right key. (a) What is the p.m.f. of X? (b) What is the C.D.F. of X? (c) What is the mean and variance of X?Based on the graphical representation, select the best answer from the choices below. A. True B. False
- ll by adding 5 to each of the numbers in the set 3.6 117 7 1 we obtain the set 8, 116, 12, 10 Show that the two sets have the standard deviation Same deviation but different means How are the mean related ?The average marks on an Economics Assignment is 55%, with a standard deviation of 5%. The Examiners note that the distribution of the marks is normal. A. Define 'Normal Distribution' including key properties and illustrate with a diagram. What is the proportion of frequencies below 35%? What is the proportion of frequencies above 80%? What is the proportion of marks between 40% and 70% ?18. An insurance agent has claimed that the average age of policy-holders who insure through him is less than the average for all agents, which is 30-5 years. A random sample of 100 policy-holders who had insured through him gave the following age distribution : Age last birthday 16-20 21-25 26-30 31-35 36-40 No. of persons 12 22 20 30 16 : Calculate the arithmetic mean and standard deviation of this distribution and use these values to test his claim at the 5% level of significance. You are given that Z (1-645) = (0-95.
- Differentiate the function. f(t) = - 2t° + 5t + 4 f'(t) =|2. The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal probability distribution. The mean yearly amount earned is $40,000 and the standard deviation is $5,000. a. What percent of the sales representatives earn more than $42,000 per year? b. What percent of the sales representatives earn between $32,000 and $42,000? c. What percent of the sales representatives earn between $32,000 and $35,000?MEAN ABSOLUTE DEVIATION Q.1) Find the mean absolute deviation for the set below. S = {85, 90, 68, 75, 79} A. В. C. D. 79.4 6.48 32.4 79 Sherrie just registered for her wedding. So far 6 items have been fulfilled on her registry. Find the Q.2) mean price of the fulfilled items. $29, $58, $15, $129, $75, $22 43.5 129 54.7 114 А. В. С. D. Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29 , $58, $15, $129, Q.3) $75, $22 196 54.7 114 32.67 C. D.