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- using 'standard Normal Table ' , calculate the following probabilities. 1. Pr(z < -1.12) 2. Pr(z >2.32) 3.pr(1.22 < z >2.53) 4.pr(-3.22 < z < 0.22) 5.pr(-2.36 < z < -0.50)a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places)Two coins are tossed 500 times, and we get: i) Two heads: 105 times ii) One head: 275 times iii) No head: 120 times Find the probability of each event
- The probability that a visitor to an animal shelter will adopt a dog is 0.10. Out of 9 visits, what is the probability that at least (equal to or more than) 1 dog will be adopted? a. 0.3874 b. 0.6126 c. 0.5639 d. 0.1342n people guess an integer between 1 and 100, and the winner is the player whose guess is closest to the mean of the guesses + 1 (ties broken randomly). Which of the following is an equilibrium: a) All announce 1. b) All announce 50. c) All announce 75. d) All announce 100You work at a mechanic shop. 40% of cars that come in have a flat tire. If there are 50 cars in the shop, what is the probability that more than 30 have a flat tire? Round to three decimal points.
- 2.4 The opening 2018 World Cup odds against being the winning team specified by espn.com were 9/2 for Germany, 5/1 for Brazil, 11/2 for France, 20/1 for England, and 7/1 for Spain. Find the corresponding prior probabilities of winning for these five teams.Suppose we are again given 20 tulip bulbs that are very similar in appearance. Information on this new set of tulips is summarized below: Early (E) Late (L) Totals Red (R) Yellow (Y) Totals 5 5 10 5 5 10 10 10 20 What is P(Y)? (Enter the probability with two decimal places)Managers of the restaurant, NicePizzeria@Nola, have to plan for the number of pizzas they want to make at the beginning of each day. Based on market research, the managers know the daily demand can only be one of the three levels: 30, 40 or 50 pizzas. Also, the probabilities of getting a daily demand of 30, 40, 50 pizzas are 0.3, 0.4, 0.3 respectively. The managers decide that their tentative daily supply of pizza should also be one of the three levels: 30, 40 or 50 pizzas. Each pizza costs $3 to make and the price is $8 per pizza. Note: The profit for each pizza sold is $5. For the ones supplied but not sold, the profit is -$3. Fill in the following profit table (hint: use two-way table ) and use the profit table to answer the questions. Three demand levels 30 40 50 30 Three supply 40 levels 50 1) What is the maximin supply level? 2) What is the maximum expected profit (across three supply levels)?
- Please no written by hand solution Kate recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession. If the probabilities of the healthy, soft, and recessionary states are 0.6, 0.2, and 0.2, respectively, then what are the expected return and the standard deviation of the return on Kate❝s investment? Calculate the coefficient of variation for this investment. (Round expected return to 3 decimal places, e.g. 0.125 and round intermediate calculations and standard deviation to 5 decimal places, e.g. 0.07680.)You work at a mechanic shop. On average, 10 cars come into your shop each day. Assuming a poisson distribution, what is the probability 4 cars come into the shop? Round to 4 decimal points.QUESTION 11 ABC Store's data of the past 500 days shows that the online daily sales of a cooking pot of a special brand was between ten and eighteen pots. If of the 500 days, there were 100 days with daily sale of 15 pots, then what is the probability that the daily sale is 15 pots? (Put your result in a decimal number. Keep 3 digits after the decimal points.)
