## What is the probability that a board 3 meters in length has no flaws?

1     The number of defective components produced by a certain process in one day has a Poisson distribution with mean 20. Each defective component has probability 0.60 of being repairable.

a.   Find the probability that exactly 15 defective components are produced.

b.  Given that exactly 15 defective components are produced, find the probability that exactly 10 of them are repairable.

c.    Let N be the number of defective components produced, and let X be the number of them that are repairable.

d.  . Given the value of N, what is the distribution of X?

e.  Find the probability that exactly 15 defective components are produced, with exactly 10 of them being repairable.

2,  The probability that a certain radioactive mass emits no particles in a one-minute time period is 0.1353. What is the mean number of particles emitted per minute?

3.   The number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter.

a.  What is the probability that a board 3 meters in length has no flaws?

b.  How long must a board be so that the probability it has no flaw is 0.5?

4.   Grandma is trying out a new recipe for raisin bread. Each batch of bread dough makes three loaves, and each loaf contains 20 slices of bread.

a.   If she puts 100 raisins into a batch of dough, what is the probability that a randomly chosen slice of bread contains no raisins?

b.   If she puts 200 raisins into a batch of dough, what is the probability that a randomly chosen slice of bread contains 5 raisins?

c.    How many raisins must she put in so that the probability that a randomly chosen slice will have no raisins is 0.01?

### Determine the outlet concentration x1 in the water solution and in the trichloroethane solution using an analytical equation.

Predicting Extraction for an Existing Tower with a Given Number of Steps. An existing tower contains 5.0 theoretical steps. It is desired to predict its performance under the following conditions….

### Calculate the minimum solvent that can be used. [Hint: In this case, the tie line through the feed L0 represents the condition for minimum solvent flow rate.

Minimum Solvent and Countercurrent Extraction of Acetone. An aqueous feed solution of 1000 kg/h containing 23.5 wt % acetone and 76.5 wt % water is being extracted in a countercurrent….

### Determine the break-point time, the fraction of total capacity used up to the break point, the length of the unused bed, and the saturation loading capacity of the solid.

Drying of Nitrogen and Scale-Up of a Column. Using molecular sieves, water vapor was removed from nitrogen gas in a packed bed (C1) at 28.3°C. The column height was 0.268….