Question

solve all the questions.

of customers arriving t a cetn chckut co r wa Pos th a mcan of 0.6 customens px minute 1E heop is the probability that the first customerw arve etve 905 Api 3e b)1-Se The manager of a bakery knows that the daily demand ( the number of chocutate ckes e can sell on any given day) is a random variable X, having the following papbabifity distribution # of cakes X he can sell per day Probability 1 2 4 3 demand" 0.1 0.25 0.1 0.1 0.35 0.1 He also knows that there is a net profit of $15 for each cake he sells, and a loss (due to soilage) of $5 for each cake he does not sell. Assuming that each cake can be sold only on the day it is made. Find the baker's expected profit for a day on which he bakes 4 cakes. a) $ 21.00 (S n None of these e)$ 27.00 b) $ 16.75 >195 The time to failure of a certain type of fuses is an exponential random variable with a mean of 12 weeks. Three of these resistors were randomly selected. Find the probability that two of them will work for more than 16 weeks and the other one will fail before 16 weeks. d) None of these c)0.4288 b) 0.1535 a) 0.0512 o.93

Answer 1

**1 For Sale protid Enpeteal frofpit cakes Net 514-) EA)iSA-5(4- 10.1). -5X4 + to1) (5-5x3) +to35)30-5x 2) (0.25)53) -t5)] +0 15x4 Kte1 (-2)+ 3)+ (7) Cto) 6 $18

2. Th ozabality fun.chien fr iss (2 2Wee ce 12 Men 16 aene weeles For ulb to reta fur PLMZI6) 978 96169 0-t 0.263 o736 O263 Fer (216) 92t 0-1 o re baslty het to three last fr 16 eale 12 C2 10.263) 0.734) 0.527