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- The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors isas follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 17 The probability that 5 automobiles will be sold is,a 0.232b 0.244c 0.257d 0.271using '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)Find the probability of rolling a standard 6-sided die 23 times and getting 10 or more twos. Select an answer Enter a decimal rounded to four places as needed.
- n 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 100Suppose A and B are two events with probabilities: P(A) = .30, P(B°) = .45, P(AN B) = .15. Find the following: а) Р(A U B). b) Р (4°). с) Р(B).For a group of 300 cars the numbers, classified by color and country of manufacture, are shown in the Black Silver White Total Korea 33 34 35 102 Japan 23 9 24 56 America 16 25 34 75 Germany 19 16 32 67 Total 91 84 125 300 One car is selected at random from this group. Find the probability that the selected car is A black or white car manufactured in Korea.
- What do we call the probability of a Type I error?Question 3 a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of (i) (ii) (iii) the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet Stating its parameter(s), what is the probability distribution of this variable? State the conditions that influence your choice of distribution. Calculate the probability that at most 2 of the roses were Eden Roses. b) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute. (i) (ii) Stating its parameter(s), what is the probability distribution of this variable? Compute the probability that 5 calls will arrive per minute. (iii) Compute the probability that 3 or more calls will arrive in a 3-minute interval?a) For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table. Black Silver White Korea 33 34 35 Japan 23 9 24 America 16 25 34 Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is (i) Is Silver car from Germany (ii) a black or white car manufactured in Korea. (iii) not manufactured in Japan. (iv) is a white car, given that it was manufactured in America. (v) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response.
- a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet (i) Define the random variable for this situation and list its values (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii)State the conditions that influence your choice of distribution. (iv)Calculate the probability that at most 2 of the roses were Eden Roses. b) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute. (i) Define the random variable in this situation and list its values. (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii)Compute the probability that 5 calls will arrive per minute. (iv)Compute the probability that 3 or more calls will arrive in a 3-minute interval?You may need to use the appropriate appendix table to answer this question. Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.) (a) The area to the left of z is 0.9750. 1.8 x (b) The area between O and z is 0.4750. (c) The area to the left of z is 0.7291. (d) The area to the right of z is 0.1271. (e) The area to the left of z is 0.8106. () The area to the right of z is 0.1894.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)