B.1) Let the random variable X represent the number of cars that are used for official business purposes on any given workday. The probability distribution for company A is PA(x) 0.3 0.4 03 and for company B is 3 4 Pg(x) 0.2 0.1 0.3 0.3 0.1 If daily records of car usage are examined on randomly selected 36 days from company A and 40 days from company B, find th probability that the difference between sample means of company A and B is reater than 0.6.

4. Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is ? The standard deviation is ? The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) = ? The probability that a newborn fawn will be weigh between 2.8 and 3.8 is P(2.8 < x < 3.8) = ? The probability that a newborn fawn will be weigh more than 3.02 is P(x > 3.02) = ? P(x > 2.5 | x < 3.4) = ? Find the 79th percentile?

Millo.09.

Question 9 According to a study, the salaries of registered nurses are normally distributed with a mean of 55770 dollars and a standard deviation of 6955 dollars. Let X be the salary of a randomly selected registered nurse. 1. Describe the probability distribution of X and state its parameters and o: (μ: X Select an answer Select an answer B IZ XLIN Z 2. Find the probability that the salary of a randomly selected registered nurse is a. less than 71106 dollars. b. between 35101 and 48927 dollars. c. more than 71605 dollars. σ= (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 55-th percentile for the salaries of registered nurses. decimal place) dollars (Round the answer to 1

Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in the English language were “e”s.  Suppose random samples of 196 letters are selected from a book What is the probability that a random sample of 196 letters will contain at least 10% "e"s? Type your calculated z-score here. Express its value to the nearest hundredth (two decimal places).  Type your probability here. Express its value to four decimal places. Do not round.

11.

Suppose the demand for a company’s product in week 1,2, & 3 are each normally distributed. The means are 50, 45, and 65. The standard deviations are 10,5, and 15. Assume these 3 demands are probabilistically independent. Suppose the company has 180 units in stock, and it will not be receiving any more shipments from its supplier for at least 3 weeks. What is the probability that stock will run out during the 3 week period? How many units should the company have in stock, so that it can be 98% certain of not running out during the 3 week period , assuming it will not receive any more shipments during this period?

Question 4 According to the WHO, the birth weight for male babies born full-term is normally distributed with a mean 90.1 oz and a standard deviation of 17.3 oz. Let X be the birth weight of a randomly selected male baby born full-term. 1. Describe the probability distribution of X and state its parameters and σ: X Select an answer Select an answer XTBZEN a. less than 128.5 oz. b. between 61.9 and 82.1 oz. c. more than 131.7 oz. X² (μ = 2. Find the probability that the birth weight of a randomly selected male baby born full-term is 3. Find the 65-th percentile for the birth weight. 0 = (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) oz (Round the answer to 1 decimal place)

#1. Use Minitab to simulate 1000 rolls of a pair of dice. Find the number of times that the sum of the two dice is exactly 7. Enter that value here. Based on that result, use the relative frequency approach to estimate the probability of getting a 7 when two dice are rolled. Enter the estimated probability here. How does the estimated probability compare to the true probability? (The true probability found using the classical approach to probability is P(7)=.167) Use the classical approach (no Minitab needed) to find the probability for the sum óf the two dice. You can also verify that P(sum of 2 dice = 7) =.167. P(sum of 2 dice = 2) = P(sum of 2 dice = 3) = P(sum of 2 dice = 4) = P(sum of 2 dice = 5) = P(sum of 2 dice = 6) = P(sum of 2 dice = 8) = P(sum of 2 dice = 9) = P(sum of 2 dice = 10) = P(sum of 2 dice = 11) = P(sum of 2 dice = 12) %3D