7) A student needs eight chips of a certain type to build a circuit. It is known

Question

7) A student needs eight chips of a certain type to build a circuit. It is known that 5% of these chips are defective. How many chips should he buy for there to be a greater than 90% probability of having enough chips for the circuit?

8) A hot dog vendor provides onions, relish, mustard, ketchup, Dijon ketchup, and hot peppers for your hot dog. How many variations of hot dogs are possible using one condiment? Two condiments? None, some, or all of the condiments?

9) An experiment consists of picking one of two urns at random and then selecting a ball from the urn and noting its color (black or white). Let A be the event “urn 1 is selected“ and B the event “a black ball is observed.” Under what conditions are A and B independent?

Explanation / Answer

7) Students needs 8 chips to build a circuit.

Let student buys X chips.

Defect 5%.

Undefected = 95 % of X

To have 90 % probability of having 8 chips = 0.9 x 8

Undefected Chips = 0.9 x 8

95 % of X = 0.9 x 8

X = 0.9 x x/0.95

= 7.57

Sine X can't be fraction and probability can be graeter than 90% . So, we choose next whole number , hence X = 8.

Thus the student should buy 8 chips to have greater than 90% probability of having enough chips for the circuit.

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