Consider the joint PMF given by x + y f(x,y) = ,X = 1,2,y= 1,2,3,4 32 a) Find g(x), the marginal distribution of X (b) Find f(x\y), the conditional distribution of X given Y=y c) Calculate P(X< Y) d) Calculate P(X = 1 | Y = 2)
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- (d) Suppose that the satifaction received from a number of rides taken on a roller coaster (2x+1Y 0.5 is given by the function S(x) = 200() where S is the satisfaction received and x is the number of rides taken. (i) Find the rate at which the satisfaction changes with respect to the number of rides taken.Differentiate the function. f(t) = - 2t° + 5t + 4 f'(t) =|Find f'(x). T(x) = 2x° (x* - 2) 5 f'(x) =O
- 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.f(x,y,z)=3x²+xyz+4y³₂² Find the value of df(x,y,z)/dx when x = 1, y = 2, z = 3.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?
- 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 100A bakery would like you to recommend how many loaves of its famous marble rye bread to bake at the beginning of the day. Each loaf costs the bakery $2.00 and can be sold for $7.00. Leftover loaves at the end of each day are donated to charity. Research has shown that the probabilities for demands of 25, 50, and 75 loaves are 30%, 20%, and 50%, respectively. Make a recommendation for the bakery to bake 25, 50, or 75 loaves each morning. Find the expected monetary value when baking 25 loaves. EMV=$(Type an integer or a decimal.) Find the expected monetary value when baking 50 loaves. EMV = $(Type an integer or a decimal.) Find the expected monetary value when baking 75 loaves. EMV = $ (Type an integer or a decimal.) Make a recommendation for the bakery to bake 25, 50, or 75 loaves each morning. The bakery should bake loaves of bread every morning. O 25 50 75 E21. The amount of bread (in hundreds of pounds) x that a certain bakery is able to sell in a day is found to be a numerical valued random phenomenon, with a probabiliiy function specified by the p.d.f. f(x), given by : k. x ={k. (10 – x), for 5A store sells from 0 to 12 computers per day. Is the amount of daily computer sales a discrete or continuous random variable?Using the normal table or software, find the value of z that makes the following probabilities true. You might find it helpful to draw a picture to check your answers (a) P(Zz) =0.01 (e) P(Z|A factory production process produces a small number of defective parts in its daily production. Is the number of defective parts a discrete or continuous random variable?SEE MORE QUESTIONSRecommended textbooks for you
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