The clergyman of Agriculture in its battle against the military worns contaminations of maize ranches in the nation has affirmed three brands of synthetics A,B and C to be utilized by ranchers as follows: Farmers are to consolidate excatly two of the chamicals to splash their homesteads or they should utilize none of them. The extent of ranchers who settled on synthetic A,B and C are individually given by 1/5,1/3 and 7/15.A rancher is haphazardly chosen from the gathering of farmers.What is the likelihood that the rancher picked none of the synthetics

(a) Mr okyere takes banana and apple to the workplace to impart to his office mate .The likelihood that he will eat the banana is 0.7 and 0.8 is the likelihood that he will eat the apple .The likelihood that he will eat both natural product is 0.6.Find the restrictive likelihood that he will eat the apple given that he doesn't eat the banana master arrangement

(b) Consider three boxes containing a brand of lights .Box 1 contains 6 bulbs of which 2 are imperfect ,Box 2 has 1 deficient and 3 funtional bulbs and Box 3 contains 3 faulty and 4 capacity bulbs. A crate is chosen indiscriminately and a bulb draw from it at irregular is discovered to be deficient .Find the likelihood that container chose was Box 2

A gathering of individuals directed an investigation of another store. The executives expressed 15% of the clients that visit do no make a buy. Another chain is thinking about situating in the close to region. The gathering stops 16 likely clients for an overview. Utilizing the binomial likelihood circulation.

a) What is the likelihood that precisely four clients don't make a buy?

b) What is the likelihood that in any event two clients don't make a buy?

c) What is the likelihood that at most one client doesn't make a buy?

You are on a TV show. You have been asked to either play a dice game multiple times or acknowledge a $50 greenback. The

dice game works this way:

On the off chance that you roll a 1, 2, you lose $30. In the event that you roll a 3, 4 or 5, you win $100. On the off chance that you roll a 6, you lose $50.

"3"

Would it be a good idea for you to play the game? Answer yes or no.

__________

Utilize anticipated that values and decision theory should legitimize your answer. If it's not too much trouble, round the response to two decimal spots.

Expected worth of four games is $__________.