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|(10 points) A box has five switches, three of which are defective. An engineer draws switches...
1. there is a drawer with 6 blue socks and 4 white socks. someone picks 2...
1. there is a drawer with 6 blue socks and 4 white socks. someone picks 2 socks at random. What’s the probability that its a matching pair of socks? 2. Suppose that in a certain country, 10% of the elderly people have diabetes. It is also known that 30% of the elderly people are living below poverty level, and 35% of the elderly population falls into at least one of these categories. A. What proportion of elderly people in this...
A box contains three cokes and two beers (root beer of course). Julie draws at random...
A box contains three cokes and two beers (root beer of course). Julie draws at random twice without replacement from the box. (Any draw is equally likely) a.) What is the probability that she gets at least one beer? b.) What is the probability that she drew a coke on the first draw given that she drew a beer on the second draw? Please explain step by step!
3.97 Guannan draws three balls at random and without replacement from a bag that contains five...
3.97 Guannan draws three balls at random and without replacement from a bag that contains five balls numbered 1, 2, 3, 4, and 5. Let the random variable X denote the largest number drawn minus the smallest number drawn. What is the expected value of X?
Problem 3. Consider a box with three blue and five red marbles. Suppose draws are made...
Problem 3. Consider a box with three blue and five red marbles. Suppose draws are made from the box with replacement until two red marbles are drawn. Let Y denote the number of draws required, and let X denote the number of draws it takes to obtain the first red marble. (1) Calculate P(X-s, Y t) for integers s and t, 1 3 (2) Use the above to find P(Y t). (3) Calculate P(X = sy-t) for 1 s <...
Problem 1 Version 1 1. An engineer is going to install a number of switches in...
Problem 1 Version 1 1. An engineer is going to install a number of switches in a component. Suppose that the probability that a switch successfully connects is .90 and assume that they successfully connect independently. (a) (4 points) If 10 switches are installed, what is the probability that exactly 8 of them connect successfully? (b) (6 points) Suppose a circuit of 4 switches is constructed so that the component will function if switch 1 connects successfully and switch 2...
10 point A box contains three defective and seven non defective chips. Three chips are drawn...
10 point A box contains three defective and seven non defective chips. Three chips are drawn randomly without replacement one after the other. Let X be the # of defective chips. Using hyper geometric model construct the probability distribution of X and show that it fulfills the two conditions of probability distribution. Also find E(X) 1 Add file Page 2 Back Submit LALAR
Suppose a packing box contains 24 smartphones, of which two phones are defective. If, while setting...
Suppose a packing box contains 24 smartphones, of which two phones are defective. If, while setting up a store display, a salesclerk selects 10 smartphones at random from the box without replacement, what is the probability that both defective smartphones will be selected and put on display?
Suppose that a person plays a game in which he draws a ball from a box...
Suppose that a person plays a game in which he draws a ball from a box of 10 balls numbered 0 through 9. He then puts the ball back and continue to draw a ball (with replacement) until he draws another number which is equal or higher than the first draw. Let X denote the number drawn in the first draw and Y denote the number of subsequent draws needed. (a) Find the conditional probability distribution of Y given X...
Suppose that a person plays a game in which he draws a ball from a box...
Suppose that a person plays a game in which he draws a ball from a box of 10 balls numbered 0 through 9. He then puts the ball back and continue to draw a ball (with replacement) until he draws another number which is equal or higher than the first draw. Let X denote the number drawn in the first draw and Y denote the number of subsequent draws needed. (a) Find the conditional probability distribution of Y given X...
3.97 Guannan draws three balls at random and without replacement from a bag that contains five balls numbered 1, 2, 3, 4, and 5. Let the random variable X denote the largest number drawn minus the smallest number drawn. What is the expected value of X?
Problem 3. Consider a box with three blue and five red marbles. Suppose draws are made from the box with replacement until two red marbles are drawn. Let Y denote the number of draws required, and let X denote the number of draws it takes to obtain the first red marble. (1) Calculate P(X-s, Y t) for integers s and t, 1 3 (2) Use the above to find P(Y t). (3) Calculate P(X = sy-t) for 1 s <...
Problem 1 Version 1 1. An engineer is going to install a number of switches in a component. Suppose that the probability that a switch successfully connects is .90 and assume that they successfully connect independently. (a) (4 points) If 10 switches are installed, what is the probability that exactly 8 of them connect successfully? (b) (6 points) Suppose a circuit of 4 switches is constructed so that the component will function if switch 1 connects successfully and switch 2...
10 point A box contains three defective and seven non defective chips. Three chips are drawn randomly without replacement one after the other. Let X be the # of defective chips. Using hyper geometric model construct the probability distribution of X and show that it fulfills the two conditions of probability distribution. Also find E(X) 1 Add file Page 2 Back Submit LALAR
Suppose a packing box contains 24 smartphones, of which two phones are defective. If, while setting up a store display, a salesclerk selects 10 smartphones at random from the box without replacement, what is the probability that both defective smartphones will be selected and put on display?
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